NO T ES O N TH E T H E O RY N E BU LA R I N R EL AT I O N T O STE LLAR, S OL AR , P L AN E TAR Y, OO M E TARY, AN D G E OL O G I C A L P H E N O ME N A . W I L LI A M F O R D S T A N L E Y , F R M ET S O C . . AU T H . O R O F T REA TISE S O N TH E P R O P ERTI E S AND M O TI O N O F FLU I D S , ” ” D RAW IN G I N S T R U M E N T S , SU RV E YIN G IN STRU M E N T S , ET C ” . i ’ i A ca u se q u il ne con vi e nt pa s s i b en 5 l a s ou ve rai ne perfect on q ui , es t e n D ieu d e le fa i re au te u r d e la con fu s ion q u e d e l ord re et a u ss i q u e la noti o n q u e n o u s en avon s e s t moi ns di s tin cte j ay crfi dev o ir icy p ré férer la propor tion ” — et l O rd re R la con fu si on d u C h a os D escar tes ’ , ’ . , ’ . . LONDON R E GAN P AU L, T RENOR , T R U BNER 189 5 . CO LT D . P R I N T E D B Y T A Y L O R A N D F R A N C I S, RED LIO N C O U RT . FLEET S TRE E T. l O AN STAC" P R EFA C E . T HE subject of the followi n g pages as a study commenced to fascinate me in my youth when , deeply imb u e d with , the study of N ewton , I was try ing vainly to unravel the theoretical possibilities of th e ori gin al struct u re of the marvello u s mec hanism of the universe . It has been ever present with me throughout a busy life and has been often reconsidered leading me to the conclusion that a , modified form of the N ebular Theory of L aplace might be established on some n ew ideas which I formed and by certain calc ulations that I felt sure the actual con ditions warranted . T hese sp e c u lations are scientific world for approval I arranged thi s n ow o ffered to the . matter as it presented i tself to my mind originally in papers upon sep a rate part s of the subject a s , a less con fi dent mode of introduc t ion b u t I was advised b y orthodox authorities that such papers were too speculative to com municate to the learned so cieties that I tho u ght at the time best adapted for their conside ration . These p apers which I n ow edit in abs tract , have been put asi de , 6 2 P RE FA C E iv for many years . . Upon the permissible borders of the subj ect read a paper before the G eologists A ssociation in March ’ I “ 1 88 3 , Upon the Causes of the E levation and D epression ” ’ of the E arth s S urface , which I considered to represent the contin u ity of e ffe cts of neb ular conditions upon the t a ture reported in N March 9 h ome 2 S ( of the speculative unpublished matter of this paper is in ‘ E arth ’ , , cluded in the following p ages with copies of my diagrams , I wrote a paper in C onditions of the 1878 U “ pon S ome H y poth etical and Motions of Comets P roperties . ” , that I ass u me to depend upon original nebular conditions which , after some correspondence with a high authority the ‘ E nglish Mechanic ’ , , I , sent to a j ournal in which astro n omical subjects are freq u ently discussed ( publis hed 2 2 nd J une This matter is incorporated herein with some con e lusions arrived at after fu rther consideration of the su bject , . A t the B ritish A ssociation in 1 8 8 3 I re d a p aper entitled N otes u pon the R otation period of the E arth and R evo la tion period of the Moon deduced from the N eb u lar B rit A ssoc eports p H ypo the s S of L aplace R 1 8 8 5 ( a “ - - , ” I . . , , . The s ubj ect of this paper is more fully treated in the present work . I also read a paper before the G eological S ociety showing ’ the error in Mallet s theory of the contraction of the E arth in cooling , which process was assumed to prod u ce the P REFA C E t rea elevation and in lination of strata observed in nature c g P ( hil Trans vol clxiii p art . . . This theory . w , hi c h has been very generally accepted , derived most of its s u ppor t I think from a large acci dental error whi ch I w as able to , , point out in t he mathe m atical c alc u lations (P roc G eol S oc . . . so that the Ca u ses of elevation and i nclination of J u ne strata discu ssed herein as a process of the continuity of . neb u lar conditions may be said to remain u nexplained by any hypothesis fo u nded upo ncorre c t da ta . I have also rea d several papers before the B ritish A sso tion and the G eological S ociety contrave ning some points in the popula r theory of a universal glacial age which I think was only loca l at any period and is opposed to the N ebular Theory w hich I tho u ght at the time I wrote the papers demanded a uniform decre m ent of heat in time ' in the e ntire CO s mic system This idea as reg ards the per iodic amo u nt of solar radi a tion to the E arth I have somewhat modified in these pages by considering the e ffects of critical tempera tu res u pon the solar neb ula ; b u t as I ha e en deavo u red to bri n g the whole subj ect together as v briefly as possible as it presents itself to my mind it is u n necessary to discuss more partic u larly what I have attempted to do in this direction The greate r already part of this atter has re mained unpublished except partly in short abstracts being at present somewh at out of concord with prevailing theories ci a , , , , , . , . m . , , . P REFA C E vi . What 1 most regret in this matter is that I a m unab le to fu lly disc uss many theoretical ideas that have been pro posed by scientific men without extending this sketch very much beyond the limit necessary for the brief stateme nt of my o w n ideas . This is unfortunate , a s I find in reading up the subj ect for the most part since I wrote these pag e s , that o ther ideas approach my ow n in a fe w particulars , . O ne feels also th at in the discussion of a speculative , s u bject in proportion as ideas are original they must be , di ffi c u lt to correlate with the more or less established scienti fi c theories . The whole s u bject however is undoub t edly in a , , tentative state and must be st u died gen erally upon a broader , an d more exact basis in detail t h an it has heretofore been if a satis factory theory is to be establish ed tigation , F o r this inve s . some acceptable data must be found befo r e refi ned m athematical analysis can be of much value F or . this theory I can only hope I have put forward some available s u ggestions . I am indebted to Mr W T L ynn . . . F B A , , . for . itical ex amination O f my proo fs both for reading and for cr calcu lations Crookes , . I am indebted to the kindness of Mr and P rofessor G . F . . William F itzgerald , for some suggestions which have enabled me to render the m atter in the second logical who . I and twelfth chapters more defi nite and am indebted to an eminent practical geolo gist , withholds his name for reading and suggestion in , P REFA C E Chapters X to X V I . to Mr . v ii . Charles Kirk fo r care in the reproduction of th e P lates ; and to Mr W Francis of . . , ’ my printe rs firm fo r care in c orr ecting my p r oofs , S outh N orw ood, M arch 1 8 9 5 . . C O NT E N T S I N D E X - . C HAP TE R I . — — T D I IN R O U C T I O N H ST O R I C AL N O T E S A ncient Id eas Re — D es ca rtes Wright, p 3 Kant, p 4 naissance , p L ambert— S ir Wm L aplace , p 7 6 - . . . . . “ . . . . 11 Mayer, p 9 H elmholtz p 1 0 L ane P rojectile Theory—L imits of Theory to be discussed , p 15 . . . , . . . . C H A P TE R II . 0 C O ND I TI ON S O F MATTE R P O SSI BLY A C TI V E I N T HE C O NDENSA TI O N O F AN E X TE N SI V E S YS T E M O F C O SMI C N EB ULE O riginal S tate of Matter p 1 8 Time and S pace p 17 Separation of S ystems of O riginal Matter p 1 9 Com pari son with As tronomical N ebulae p 2 0 Tenuity of — 1 i O ri ginal Matter p 2 M lky Way Atomic Theory i B enj Brodie 5 Theory of O riginal Matter 22 S p p 23 S uggestion sfo r the Constitu tion of the Nebulae W . . , , . , , . , . . . r . . . . . . , ’ . , Locky e r s D issociation p 23 Crookes s P n eu mite s p 2 6 F ractionation p 2 5 Chemical A cti on in a P neuma S ystem , p 3 0 Cohesion of Matte r p 32 O bservation of A s tronomical N ebulae, p 3 5 C ondition of the S un , p 3 6 ’ P neuma , ’ . . . . , , . . . . . , . . . . . C H A P T E R III . —F ormation F O R M A TI O N O F S T ELLA R AND S O L AR S Y STEMS of N ebul ae fro m the original P neuma S ystem , p 3 8 S uggested Motive C onditions in the original P neuma p 40 Cyclone inducing C o ndi t ions, p 42 F ormatio n of S piral Neb u lar S ystems , p 4 5 S olar P lan etar y inducing conditions in Nebul ae, p 4 6 P e r manency of D istance s u nder whic h G ravi ta S tellar S y stems p 4 7 — tion may be active Acti on of G ravity in fo rmation of C ircular O rbi ts p 4 9 . . , . - . . - . . . . , . . . , . . C H AP T ER IV S T ELLAR AND S O LAR C O ND E N S A TI O N . . — F O R M A TI O N O F O R B IT S — S eparate S tellar and S olar P lanetary inducing con - dition s according to am ount of R otation , p 5 2 . . L imits A ctio n of a S olar P lanetary C ometa ry S ystem , p 53 of G ravity on distant C ondensations p 55 C ondensatio n to a S olar C entre p 56 D irection of A pproach to the S u n of exterior Matter— F ormation of O rbits , p 5 8 C ometary O rbits , p 6 0 F ormation of a P lanetary P lanets formed at t h e P eri h elio n o f P lane p 6 2 C ometary O rbi ts p 6 3 - - . , . , . . . . . . . , . . , . . . CH A P T E R V . DI S C U SS I O N O F T HE ME C HANI C AL P RIN C IP LES U P O N WHI C H O U R S O LAR P LANE T ARY S YS T E M M AY H A V E B E E N F O R M ED — D E M O NS T RA TI O N O F T HE T H E O RY O F L AP LA C E WITH S O M E M O D IF I C ATI O N S — LI MIT S O F A C O M E T ARY S YS T E M E nergy of the S olar S ys tem— Its A symmetry p 6 5 - . , . , . o f a S ymmetrical G as eous S olar P lanetary S ys tem p 6 7 Mod es of Con de nsati on of Interior Mode P lanets in a S pheroidal N ebula r S ys tem p 7 1 of Condensation of E xtreme O uter S olar Neb u la p 7 2 B reaki n g u p of Ga seous Zone S ystems p 7 3 — Influencing Conditions of P lanet formation Critical Temperatures , p 7 4 S ome Modifying Conditions p 7 7 S cheme - . , . . , . , . . - - , . . . . - . . , C HAP T E R V I . C ER TAIN C O ND I TI O N S IN T HE EA R LY S O LAR S Y S T EM WHI C H M AY BE I NFERRED FR O M T HE DI S TAN C ES AND M A SSES O F T HE P LANE T S U P O N T HE N EB U LAR T H E O RY — The D i tances of the P lan ets from th e S un— B ode s Law p 8 0 s ’ , . . Masses of the P lanets , p 8 1 P roportional D ensities p 8 2 P robable Form of the O rigi nal P lanetary Neb u la, p 8 4 E ffects of the voluminous R ing of Jupiter u pon the Intra Jupiter S olar S ystem p 8 5 Re lative Ra te of C ooli n g of the Intra J u piter Syste m —with th e E arth p 86 . . . . . . , - , . . - , . . C H A P T E R V II . S U GGES TI O NS F O R C A U SE S O F DI RE C TI O N O F R O T A TI O N O F T HE V EL OC IT Y O F R O T A TI O N S A T EL LIT E S — D irection of the S o . p 8 8 D irection of the P lanets A of the S un p 9 0 Mom e ntu m O rbital V elocity of a P lanet , p p 97 Calc u lated R otation of p 1 0 1 S tate of J u piter and S atu — of the A steroids of Mars , p 1 0 6 R otatio nof the E arth , p 108 ’ . . . , . . . . . . . . . . C H AP TE R V III . — R E V O L U TI O N O F S A T ELL ITES DI R E C T — M O TI O N RETRO . . GRADE M O TI O N —C O MP AR I S O N O F T HE R E V O L U TI O N O F T HE M OO N WIT H T HE R O T A TI O N O F T HE E AR TH R evolu tion of S atellites with D irect Motion , p 1 1 0 C alculation of R evolution of the S atellites of J u piter and S aturn p 1 11 The Moon , S at ellites of Mars p 1 1 3 p 1 1 4 Retrograde Moti on of S atelli tes , p 1 1 6 . . . , . . . . . , . . . CH A P TE R IX . C O M E T S CO NS I DERED AS O RD INARY G RAV ITA TI V E MA TT ER I N R O T A TI O N CO NS T R U C TI V ELY A s A P AR T O F T HE PL ANE T A R Y S YS T E M —D iscussion of P rinciples p 1 2 1 C omets o f L ong P eriod p 1 2 5 C omets of S h ort P eriod— S ym . , , . - . . metrical E lements o f C ome t formation , p 1 2 6 Comets considered as G ravitative Matter, p 1 2 8 Conditions - . . . . under which a Comet may be considered as a P lanetary — — B ody p 1 3 0 H eat E lectricity O rbital Moment u m p 1 3 1 E lon gat ion of the C o metary Mass near P eri helion p 1 3 6 O rbi ts Of the outer parts of a C omet F ocal P oint p 1 3 9 D irection of a C ometary Train I n relation to the S u n p Widening Cu rvature o f the Trai n by crossing O rbits 14 2 F ormation of a N e w H ead to a Com et p 144 S ome general conditions . , . . , . , . . ‘ . , . , . . , ’ . . , , C HA P T E R X . TH E E A RT H , CO NS I DERED IN E VI DEN C E O F F O R M ER N EB U LAR C O ND ITI O N S — IT S I N T ERNAL F L U I D IT Y T I DAL FR I C TI O N — F IG U RE D U E T o ROT A TI O N —The E arth con s i d e r e d as a Model P anet p 14 F E 7 actors of arth l form ation , p 14 8 F rom a G aseous S ystem , p 1 4 9 From aggreg ation of P lanetoids p 1 50 Internal E ffects o f Fl uidity of the E arth disc u ssed p 150 Tidal Friction p 1 5 6 Change of fig u re d u e to Rota tion V e lOc ity p 1 57 - . . ' . , . . ' . . . . ' ' . , , . . . . , J - . , . C HAPTE R III . C O ND ITI O NS O F T HE EAR TH D U E T o D I S C RE T E C ONDENSA TI O N S F O R M ED B E TW EEN T HE E AR TH S O R I — Z A L N EB U LA O NE AND T HE O RB IT O F M ARS I G N Fo z mation of L and are s by Inclusion of P lanetoids p 1 6 0 S U PERF I C IAL ’ , r - - P roje ction , . . of a larg e I nt ra Mars P lane t oid upon the Formation of a C ontine nt therefrom , E arth p 1 6 5 p 16 6 . , ‘ a . . - . C H A P TE R X II H YP O T H ESIS T HE E ARTH U NDER — B R E U LA P U RELY N C O ND ITI O NS Conditions specialized D isti nct P eriods of D eposition —P eriod o f p 169 C ondensation of highly R efractory Mat te r p 1 7 0 P eriod of Condensation of Volatile Metals , O xygen , and H alogens wi th Metals and Metalloids, p 1 74 D is tri b u tion of L and areas , p 1 8 0 P eriod of D eposition of Water p 1 84 OF F O R MA TI O N . T HE OF , . . . , . . . - . . . . , C H AP TE R X III . C O ND ITI O N S O F T H E C OO L I NG E AR T H D U E T O F O R MA TI O N O F IC E T HE AT P O LE s z— P re G lacial and G lacial P eriods , - — p 1 8 9 D istribution of Ice at th e P oles, p 1 9 2 P resent Conditions brought about by D eposition of Ice , p 1 9 3 W here Ice pressures are most active, p 1 9 7 E xtrusion o f V olcanic Matter th roug h Ice pressures , p 1 9 9 P ressure of Water and S team in V olcanic N otes u po n Theories proposed E r u ptions p 2 0 1 . . . . - . . . . - . . , 7 20 p . . . . C HA P TE R XIV P E RI O D I C . C O ND I TI O N O F E AR T H F O RMA T I O N P R O D U C ED B Y T HE E FF E C T S IN C I DEN T AL T o T HE N E B U LA R C L O U D ING A T I NFE RI O R P LAN ET ARY F O RM A T I O N AN D A T C R ITI CAL T E MPE RA T U RES O F M A TT ER S U RR O U ND I N G T HE S U N - C ondition of the S un durin g E art h formation , p 2 10 D istinct S olar heating P eriods p D ivision of S pecial P eriods , p 2 1 4 G eneral e ffects of the L arge Neb ulou s S u n u pon Meteorological Conditions, p 2 1 8 - - , . . . . . . . C H AP TE R XV C O N SI DE RA TI O N O F T IM E E L E M EN TS IN T HE S O LA R S Y ST EM PA RTI C U LA RLY F O R E STIMA TI NG T HE A G E O F T HE E AR T H — IT S E O L O G I C P ER I O D S Time of C onde n D F R AL G AN O . , sation of the S olar S ystem p 2 2 0 Calc ulation of Time of C ondensation for the N eb ula extending to the O rbit of Neptu ne p 2 2 2 The same for the O rbit of the E arth p 2 2 3 D istribution of Time upon the E arth through o u t the Varying P eriods of C ondensation of the S u n and the Inferior P lanets p 2 2 4 Table in millions of years— P eriod of the Formation of the N eb ulou s E arth, p 225 . , , . . . , . . , , . . . . C H APTE R X V I G E O L O G I CAL P E RI O D S CO R R ELA T ED WITH A S T R O N O MI CAL P H E . — D iscussio n of G eological P eriods p 2 28 A rchaean P eriod , p 2 3 1 A rchaean Time in Relation to the C onditions of A nimal L ife p 2 3 3 —Camb ro S il u rian P eriod p 2 35 D evonian P eriod p 2 39 P ermian P eriod p 2 4 1 Triassic and Rh aetic P eriods — Jurassic P eriod Cretaceous to Tertiary P eriods p 243 G lacial P eriod , p 2 4 6 F ut u re P eriod p 2 4 9 N O M ENA . , . , . . , . . . . , , . . . . , . . , . . . . — A Hypothesis of Radiation of H eat and L ight , APP END I C ES . p . 2 52 . B Mallet s Theory p 2 56 ’ . r a n eou s . , . . C . C o n tempo S tratification of Rocks of the prevailing Chemical E lements , p 2 5 8 . . N O T E S O N T HE N E B U LAR T H E O R Y 2 . calculations These historical outlines will save space being taken by constant de fi nitions of the earlier theories by making u s e of references to the paragraph numbers to be found in this chapter 1 The ancient ideas of the Kosmos in no way approach the possible conditions of a N ebular theory—the extent of the universe in early times was conceived to be only th at which appeared evident to the senses , the earth being taken as the centre of the universe surrounded and enclosed by fi rma ments that were ass u med to be r evolving solid constructions , which were variously defined To this , ho w ever , w e have some exceptions An aximi ne s believed stars to be of fiery substance and to carry invisible earthly bodies with them A S a preliminary idea of early nebular conditions he held that air was the original material of the universe from which all things were engendered and into which they resolve P yth agoras taught his disciples that the s u n was the centre about which the planets revolved T by which he accounted for eclipses and the motions of the planets , and thereby clearly an ticipated what we term the S olar S yste m of Coper This was a great advance upon the prevailing theory n i cu s which was limited to a fi rmam e n t or a number of crystal Spheres surro u nding the earth The theory of P y thagoras probably derived from the Chaldeans was , ho w ever far too much in advance of the age to be accepted by the following generations of popular scholars and theorists , who were , in m a ny instances strongly prejudiced against it owing to the infl u ence of the prevailing superstitions of the time in accordance with which alone p opularity could be attained 2 The earliest suggestion of a nebular hypothesis that occ u rs within the Renaissance period is probably that of Tycho B rahe , who , to account for the new star which appeared in 1 5 7 2 suggested that stars were formed by condensation of . , . . , . . . , , . , . , , , , , . . , at H i st ory of Ph il osop hy T S tanl ey 4th e d 1 7 43 p 54 ’ , 1 Id p 444 ' . . . . , . , . . HI S T O RI CAL N O T ES 3 . the ethereal substance of which he im a gined the Milky W ay was composed Kepler accepted Tycho B rah e s idea which b e somewh a t extended in his account of the n e w star which appeared in 1 6 0 4 b y su ggesting that the nebular substan c e m ight not be confined to the Milky Way alone b u t m ay have pervaded a ll spa c e T In an account of the eclipse of the s u n at Naples in 1 6 05 he suggests that neb u lar matter is of the sa m e kind as that which appears a ro u nd the dark body of the moon in a total eclipse 3 D escart es a ppears to have been the fi rst to attempt to constru ct a co mplete theory of the origin of the known u niverse or to sy s tematize the matter of space In this he a ssu m es that universal matter originally existed in three — sta tes coarse , fine and very atten u ated that it drifted originally in a complex system of whirls and that each of these whirls formed a solar or planeta ry system I This theory , bro u ght forward again recently by M Faye will be presently disc ussed we may term it the Vor tex T heory 4 Th os W right was the first to s u ggest a co mplete gra v i tation theor y of the universe fo u nded upon astronomi ca l observations taken accu rately enough to be of any scientific val u e H e s u ggests that the u niverse represented by the M ilky Way is a u n it gravitation system in genera l re v olu tion in the form of a bifu rcating stratu m co m posed of all the This is n ow co mm only v isible stars which resemble o u r s u n ter m ed the G r z nd s tone T lz eory H e estim ated the direction in which o u r s u n is travelling among the sta rs by discussion of the p arallax H e s u gges t s that the Stars by u niformity of creation have revolutionary subsidiary systems of planets similar to o u r own sol a r system In the plate which forms ’ , , . . . . , , , . . , . . . , , . , ' . . , , . p 79 5 T Ste ll a nov in p e d e S e p enta ii 1 6 0 6 p 1 1 5 cim inae P h ilos o hi cae i P h il oso p h i 1 6 3 7 E ss a e S 4 s 1 64 1 q p p A n O igi nal T h e o y o f th e U n iv e s e Th omas Wri ght 17 5 0 S ee al so D e M org an P h il M ag 3 s e r xx x ii p 2 4 1 P rogymn as mata , 1 5 7 2 , ’ a . . r r u s , . , , ’ r . . . . ’ e . , r r ’ . , . ’ , . , . . N O T E S O N T HE NEB U LAR TH E O RY 4 . our frontispiece he shows by shadi ng the theoretical gravita tion influences over matter of our S u n S iri u s , and R igel in whi ch each of these star systems is shown extending its infl u ence over an approximately equal area of space and nearly meeting the system of each of the others He suggests that with more perfect telesc opes the rings of S aturn will be discovered to be formed of small s a tellites H e considers the meas u ra ble visi ble sun to consist of a vaporo u s and a nebulous atmosphere the dense solid or liquid body of the sun being much smaller than it appears , possibly only of about tw o third s its apparent dimensions H e con tends that the Milky Way forms one vast system composed of solar systems like o u r o w n H e does not appear to know of m ore than the six neb u l ae mentioned by H alley as light coming from an extraordinary large space in the ether through which a lucid medium is diffused which shines with ” its o w n proper lustre Wright refers to these clou dy s ots as condensations of vapo ur among the mass of stars p ” to which our sun belongs Comets are suggested to have elliptica l closed orbits as represented in the frontispiece and therefore to be periodi c al 5 Wright s original bold but ( as regards particulars left u nnoticed ) somewhat inde fi nite outline was filled u p more in detail by Kant who fully recognizes the spec ulations of W right of D urham and accepts his general principles concerni n g t h e structure of the u niverse Kant s original spec u la tions given in the second part of his work are princi pally directed to account for the formation of the solar s yste m the mass and motion of which are ass u med to have been prod u ced by the aggregation of free particles tha t were for merly u ni for mly distrib u ted in Space in an atten u ated form The parti cles falling together at an early period by initial gravitation formed masses by local condensations , , , . , . , . . “ , * , “ . , , . ’ . , , ’ . , . . ; H all e a n 4 P h il T a s 1 1 r 7 y, . . . HI S T O RI C AL N O T ES 5 . These masses under universal gra vit ation are ass um ed to have en c o u ntered the resi stan c es of other masses and p articles generally distributed S O tha t those parts of th e s y stem o n ly co u ld c ontin u e to move freely and form concentric syste m s w hich a c q u ired a linear velocity s u fli cie ntl in equation with y the ne arest centralizing attraction to prod u ce orbital motion The m atter defle c ted from th e direct line of attraction towards th e s u n p a ssed into revol u tion a bout it The revol u tion pro du ce d a denser extended e q u atori a l pl ane into which exterior m atter was drawn whilst approa ching t h e sun The velo city of the p a rticle falling towa rds the s u n d epended u pon the distance fallen the direction it fin a lly took upon the su m of l ateral devi ations it experienced in consequence of enco u nter s with other p a rti cles which directed it under the infl uence of gravitation into the path of least resistance The p articles which did not meet the conditions of circu lar or orbit a l motion fell i nto the sun where his attraction predominate d The particles deflected or held in eq u ilibri u m in n early the same orbit for m ed the planet by gravitati n g towards denser condensations of s u rrounding matter whi ch acting u nder si milar con di t ions took the same direc tion of revol ution a s the sun The s a m e motive principles in m atter which pro d u ce d t he revol u tion of the planet a ro u nd the s u n al s o produced its o w n rotation a n d the revolution of its s atellites in the same direction The pl anet in regard to rotation I s considered as an ind ependent body The rotat i ve movement might therefore according to the momentu m of the mean drift of its matter t ake one direction or the o ther the direction of rotation being d u e to the u nequal velocity of the particles in circulation around the sun at th e ti me they were fa llin g u pon the new forming planet through its prevailing loca l attraction S aturn is taken as a partic ular case for consideration in which vaporo u s conditions of condensation a r e suggested the rin g being in revolution and thrown 0 6 the planet where the centrifugal force of its matter become s , , , , . . , . , , , . , . , , , , . . . , , . , , , N O T E S O N T HE NEB U LAR TH E O RY 6 . It will be convenient to in equilibrium with gravitation denominate the neb ular theory of Kant th e D is cr ete S y s te m in contradistinction to the Concr ete or gaseo u s system of S ir William H erschel and L aplace , notices of which fo llo w It is readily seen that matter equ ally distrib u ted in space could not possibly drift in the manner proposed by Kant but that it must at an early period fall into the whirl system of motion proposed by D escartes M Faye altho u gh generally supporting the discrete theory of Kant , has demonstrated th at if matter drifted under the influence of gravitation only a s proposed by this philosopher it wo u ld possess no rota tion upon condensation in for ming the sun or a separate planetary system T L ambert followed closely in the theory of Kant his gre amst divergence being in the division of the universe into many galactic systems of which our Milky W ay represents one only i This is n ow denominated the I s la n d T heory 6 N o further advance was made in the neb u lar theory until over 2 00 0 nebul ae had been discovered and examined by S ir Willia m H erschel , an acco u nt of which was placed before the R oya l S ociety in several papers from 1 7 8 4 o n wards The neb u l ae were recogniz ed individ u ally as immense gravitation systems in 1 7 8 9 The planetary nebul ae were add u ced as giving evidences of atmospheres of shining fl u id abo u t stellar foci , which were suggested to be in a state of condensation in 1 7 9 1 The entire subject is brought together embracing ideas of the origin of our o w n solar system being derived from nebular matter in P hil Trans 1 8 1 1 , p 2 6 9 e t m The concl u sions arrived at are so ewhat less original se q than H erschel s upposed They possibly mark in one respect the influence of chemical di scovery in which t h e s mallest parts of bodies were beginning to be recognized as distinctly ii . , , . . , , , , . , . . . . . . , , . . . . . , All ge me i ne N at urge s ch i ch te u nd T h e o ri e de s Hi mmel s, 17 55 ’ 1 S u r l O rigin e d a M on d e, 2 nd e d p 135 i h f B i s o o sc e r e e , 1 76 1 o m l C I g ” ’ ’ . ’ . . . . H IST O R I CAL N O T E S 7 . structural units all of which might be bro u ght to a gaseo u s state by heat therefore the possibility of the existence of all — known matter in three forms gaseous liqu id and solid dependent upon the special temperature to which any element is exposed The recognition of a possible gaseous state for all matter appears to have suppressed for the time the former prevailing idea as regards the n ebular hypothesis that materi al particles separately distri b uted in space represented the most atten u ated form of matter The gaseo u s element o ffered also at the same time a n e w foundation for the con struc tion of a nebular hypothesis 7 The subj ect is taken up by the powerful analytical mind of L aplace in 1 7 9 6 1 and in 1 7 9 9 and adva nced in following years I It is treated entirely de n ovo this a uthor evidently not knowing h o w much had been tho u ght out in the same direction by others H e follo w s without knowing it closely upon the general argu ments of Kant partic u larly those of his theory of the form ation of the rings of S atu rn w ith the important addition of the introduction of the gaseous nebular element as a u ni vers a l mediu m H e formulates that whatever could have directed the movements of the planets it must have been originally a concrete system embracing the whole o f these bodies , which co u ld not possibly seeing its immense exten t have been othe r than an aerial fluid surrounding the sun and possessing the same direction of revol ution To ensure this possible extension of matter he supposes that the nebulo u s gaseous matter was of s ufficiently high temperat u re for all solids to exist in a purely gaseous state H e suggests that this atten u ated matter of the solar system probably resembled some o f the neb u lae visible in the telescope or more particularly the nebulous stars which were fo rmed from the general more attenuated and highly heated , , . , , . . . ‘ , . , . , , . , , , . . , ii Trai té é lé me ntaire de C he mi e 1 7 8 9 ‘ i E x p osi ti on d a S ys té me d u M onde vol ii p 2 9 5 1 I d 3 rd edit 18 13 “6 ’ ’ L avo s er s , . ’ ' , . . . . . . N O T ES O N T HE N E B U L A R THE O R Y 8 . nebulous matter The original momentum of the solar nebula in revolution was conserved , so that as it contracted it attained higher velocity The planets were formed at the limits of the solar atmosphere when it was a planetary nebula by successive zones of vapour being abandoned in the plane of the sun s neb u lar equator at a radius where the centri fugal force of the zone , due to its contraction and accelerated rotation , w as in equation with gravity for the orbit of the planet A fter separation the parts of the z one rm g would mainta in the same angul ar velocity as they had while in contact with the sun for a time b u t in falling towards the new planet forming by local condensation , the exterior matter besides its excess of linear velocity over interior parts due to its exterior position , would attain further excess of velocity thro u gh gravity The downward impulse of gravitation into tangential velocity w ould impress an excess of velocity over the original ang u lar velocity in condensation upon the plane t and thereby cause its rotation to be in the same direction as the revolu tion of the planet around the s u n This e ffect will be disc u ssed wi t h a diagram , in the b ody of the work The satellites were formed at the limits of the atmosphere of the neb u lous planets at an early period in the same m anner as the planets themselves were formed about the sun H e s u ggests that comets are of another sv ste m w ith linked orbits and that they move under the m u tu al attractions of our s u n and other separate stars The theory of L aplace has many able supporters among the most able of w h o has whom is the celebrated astronomer M C Wolf made important additions to it 8 The discovery of certain factors of the mechanical theory of heat by Mayer in 1 8 42 led this philosopher in 1 8 4 8 to propo u nd a theory of the possibility of the sun s heat being maintained by the percussion of the fall of meteoric . ' . ’ , - . , . , . , . . , . , . . . . ’ h g i Les Hyp ot es e s C osmo on q u es, 188 6 , ’ p 35 . . N O T E S O N T HE N E B U LAR T H E O RY 10 . heat engendered by their united collisions wo u ld only cover t he emission of heat from the sun at its present rate for years The meteoric theory is supported by P rof " L o ckyer and P rof A W inchell T , and enlarged to the extent of solar heat being produced by the collision of our s u n with another star by the late D r C roll I, an idea originally suggested by S ir William H erschel before his speculations u pon the nebular theory 1 0 The late illustrious H elmholtz in a lect u re at Konigs berg Fe b 7 , 1 8 54, accepted the theory of L aplace , stipulating a special form of gaseous matter represented by a state of infinite di ffusion in whi ch the gas w a s affected by forces of mutual and central gravitation only , but was not necessarily in a heated state H elmholtz determined the amount of heat that wo uld be generated by this form of gaseo u s con densation in the sun and planets of o u r system up to the present time upon his theory H e States that if w e ass u me about the 4 54th part of the mechanical force remains as s uch, the remainder converted into heat would be su fficient to raise a mass of water eq u al to the mass of sun and planets 2 8 million degrees Centigrade H e ass u mes that the greater part of the heat was dissipated in Space ages ago H e states that the cooling of the ear t h alone from a temperature of 20 0 0 to 2 0 0 degrees C entigrade w ould , according to the experiments of B ischo f upon basal t require 3 50 million years To convert the same matter from a neb u lar state would take a period beyond his conjectu re H e supposes the condensation of the sun to continue by his attraction causing the falling of the s u rface towards the centre and thereby producing a contin u al development of heat through pressure which , assuming the sun to be reduced by this . . . . . . , _ , . . . . . , . . , p h es i s T h e M et eor t c Hy ot ii ‘ , 1 W orld Li fe, 1 8 8 9 ‘ n 9 S t e ll v l t i 188 a r E o u o , I P h il T rans 1 7 8 5, p 2 13 ’ " . ’ . . . . . ’ 18 9 0 . HI S T O RI CAL N O T ES 11 . constant contraction to the density of the earth would at the present rate of e mission take a period of about 1 7 million years so that the s u n in relation to the period o f Stellar life is near its point of extinction 1 1 A s an impor tant fa ctor of the e ffects of conservation of energy in the condensation of a neb u la a la w of cooling of masses of gas was discovered by Mr J H omer L ane of Washington which is given in a paper O n the Theore tical ” Temperat u re of the S u n T T his law is shown in the following manner — If a globular gaseous mass is condensed to one half its primitive diameter th e central attraction upon any part of its mass wi ll be increased four fold while the s u rface will be reduced one fo u rth H ence the pressure per unit of s u rface will be increased sixteen times Therefore if the el a stic gravita ting forces were in equ ilibrium in the primitive condition of the gaseo u s mass the temperat u re must be do u bled in order that they may still be in equilibrium when the diam eter is reduced one half Under these condi tions the intensity of the heat of the s u n mus t have increased with its contraction from the nebular condition This is a most important consideration in showing the possibility of the conservation of the energy of the solar system in past time d u ring the continuous emission of heat from i ts former more extensive s u rface 1 2 R ecently the celebrated French astronomer M Faye has written a learned work bringing for w a rd much antique lore upon the s u bject T H e ad e pts the theory of discrete mat ter being originally dispersed in space following the theory of Kant and of its condensation u pon the thermo dynamic principles proposed by Mayer by which the collisions of gravitating matter abo u t the sun prod u c e its heat and mass under certain conditions H e s u pposes that matter drifted , . . , . . , , . - , - , - . . , , - . . , . . . . , , , . P hil M ag ser 4, vol xi p 505 e t seq I A mer i can Journ al of S ci ence, J uly 1 8 70 ’ n i i u n e 2 d d 18 80 O M d n S ur l r e d o e , I g . . . . . . . ’ . . . N O T ES O N T HE NEB U LAR TH E O RY 12 . originally in cyclones according to the whirlpool theory of H e objects to the p u rely mechanical demonstra D escartes tions of L aplace who m science generally regards as one of the great est celestial mechanics since N ewton in his theory showing the direction of rotation the planets and satellites m ust necessarily take u pon exterior condensation through contraction of a rotating gaseo u s system It m u st however, be noticed in this argument that M Faye chan ges the theoreti cal premises from a concrete or fl u id system to a discrete or chaotic system wherein the particles of matter a re ass um ed to be originally moving i n free orbits in which it is certain that the application of the arg u ments of L apl a ce can not hold It d oes not appear to me that there is really very much difference between certain of the conceptions of D escartes which are applicable to the s u bject if these are stripped of their complications and those of L aplace B oth these philosophers negative a chaotic state T and recognize the necessity for ass u ming an original fluid state to acco u nt for the direction of the rotation of the planets being the same as that of the revolution in their orbits This gaseous state surrounding the solar system in which grosser particles are assumed to float is defined by D escartes as ciel liqu ide dont les parties sont ex tré m e me nt agit é s T also as corps s u btile ” conceptions of a gas which do not v ary e t tr é s liq u id greatly from those of Clausi u s and C lerk Max w ell W ith L aplace the original solar n eb ula moved in all parts with eq u al angu lar velocity ; with D escartes its motion was which is the only possible form of motion for a cy c lonic fl uid system moving with u niform angular rotation , while to enable it to c ondensing or contracting under gravitation fi nd accommodation for the momentum of its separate parts , , . , , . , . . , . , , . , , , - - . , , d e 2 n d e d 18 80 p 2 6 4 T L e s Princip es d e la P h iIO S O phie p 147 I p 1 2 9 d 1 I d p 18 4 S ur l O ri gine du M on ’ ’ . , . , ’ , . . . . . . . . . HI S T O R I CAL N O T ES 13 . as I have Sho w n in principle in my work on the Motion of ” Fluids 1 3 O ne most important work that M Faye has done in this theory is to Show that a discrete system of m a tter dis tribut ed in space in orbital motion in each of its separate parts will upon condensation under the a ction of gravitation to form an exterio r body or planet ca u se this body to rotate i n t he reverse direction to that of its solar orbital motion T This de m onstration removes a di ffic u lty formerly experienced in the acceptan c e of the theory of L aplace since the discovery of the reverse direction of revolu tion of the satellites of Uranus and Nept u ne It further shows t h e probability that the widely atten u ated neb u lo u s matter which may have been present in space as a part of our solar nebula exterior to the orbit of S aturn may have condensed at an early stage into free particles before the concre te formation of the planets Uranus and N ept u ne and their satellit es This may be taken as a very probable hy pothesis the possibility of which appe a rs to have escaped the po w erfully analytical mind of L aplace 1 4 In the hypothetical element of our knowledge of the extent of time which may have been taken in solar planetary formation M Faye leaves the astronomical to consider the geologica l conditions b v taking the earth s superficial strati fi ca tion as an index of the entire past of the solar system Thi s is unfortunate for one who has evidently not made geology a serious st u dy In this disc u ssion past t ime is divided into E ocene Miocene and P liocene periods all of which the geological Stu dent regards as recent T This error in a geological sense is discovered and corrected in a second edition of his important work but in this case it still 5 . . , , , , . . . , . . - . , ’ . . , , , . , , , p eri mental R es ea ch es i nt o t he Prop e rti es and th e M ot ions o f Fl uids p 224 t s q T S r l O igine d u M on de 2 nd e d 188 5 p 11 7 ‘ I S ur l O igin e d u M on d e 1st e d p 2 54 ‘ Ex r . u ’ ’ r r e e . ’ , , . . ’ , . . . . N O T E S O N T HE N EB U LA R T H E O RY 14 . compresses solar planetary time into 2 0 million years This period has been proposed by e m inent physicists upon arbitrary data but is accepted by very fe w practical geologists as su fficient P rof John P erry has quite recently suggested for consideration much more probable data for the time of cooling of the earth to its present state by takin g i t from a uniform temperat u re of 7 000 Fahr by which upon his calculation the time would be extended to 1 00 million ye ars G eological time , if the e vidences taken from fossil remains the stratification of miles in thickness by slow deposition of rocks the removal of these rocks by erosion many times with erasure of faulting due to plutonic action , are fairly con si de re d from observation and taken altogether appe to a rs , carry the limit of time beyond pos sIb le conception NO short period of a fe w million years will satisfy the evidences of the changes occ u rring in the evolution of animal life alone— the changes from one stratum to another presenting gaps evi de n tly of much longer period than the period of deposition If w e take the earliest life w e know of, the animal is still a perfect highly organized structure , which for possible ev olu tion indicates a long period lost to obse rvation in fossil re m ains N o one can estimate the evidences of geological time unless he works in the fi eld of geology L et him follo w in the excursion of such excellent societies as that of the G eological A ssociation of L ondon S ta nd in front of a mo u n tain of an early S ilurian period , formed in part entirely of com minuted shells of moll u sks with here and there a perfect weathered specimen H e begins to feel the immensity of time the generation of this life refuse must have taken alth ough he knows his observation extends over but a small fraction of a long series of periods The limit of infinite time is taken by some modern philosophers I n the same spirit of - . , . . ° . , , , , , , . . . . , , . - , . N ature , ’ Jan 3 , 18 9 5, p 2 2 4 . . . L IMIT S O F TH E O RY T o BE D I S C U S S ED 15 . do ubt as the limit of Space w as formerly taken by the ancients 1 5 N o atte mpt will be made in these pages to disc u ss the hypothesis of the d iffu si on of matter into space by violent explosions from the sun and the earth and fro m other cosm ic bodies as probably this hypothesis will have but a limited time popularity The di ffi culty to the serio u s physicist , as shown by L ord Kelvin is to c om prehend the wonderful con servation of energy we find in the s u n and stars for the dis cally beyond It is therefore physi e n sa ti o n of heat and light p co mprehension that t here co uld re main in cos m ic bodies the large amount of energy s u fficient for the dispensa tion of heat and light and at the same tim e an equ al or greater amo u nt O f energy beyond that which is in any way evident for the di ffusion of matter s u ch as satellites comets and meteorites into space by projection from their orbit foci even if this would really acco u nt for their present motion and c onditi on O therwise the projectile hypothesis is in every way in di rect opposition to the nebular hypothesis which it will be my obj ect to consider We cannot possibly form a theory in whi c h we derive energy from condensation dispense i t equ al ly by diffu sion and still have it largely conserved , as w e know it to be actually in solar and Stellar systems 1 6 The theory herein treated will be direc ted to Sho w the possibilities of the concentration of s u ffi cient solar energy and of sufficient geological time in the p ast t o satisfy the direct inferences of observation This may be possibly best secured by assuming o u r ori ginal solar neb ula to be repre sented by such actu a l neb ul ae a s we may observe with the telescope The neb u lae selec ted will be assu m ed to go thro u gh certain changes u pon condens ation the sta te of which may also be represented by other visible neb ul ae In this st u dy we may follow closely in the theory of L aplace with deve lopm e nt as far as possible by calc u lation of the actual motions of some part of the solar planetary system . . , . , . , , , , , . . , . . , , . . , . - . N O TES O N T HE NEB ULAR TH E O RY 16 . The proposed data founded by inferences drawn from astronomical observation will entirely fall in with the possi b ility of heat and motive energy being due to concentration of gaseous matter in a state of infinite di ffu sion in revolution in the solar system as proposed in the contraction theory of H elmholtz At the same time we are bound to consider the e ffects of gravity acting upon dis crete matter in cosmic formations , found in the theories of Kant and Faye although su ch matter may have been originally formed by condensa tion of gaseo u s m atter The evidence of discrete cosmic matter rests upon the observation of the fall of meteorites possessed of planetary velocities to the earth , which is still taking place Therefore , upon these premises there is the probability that thro u ghout the formation of our solar plane tary system there were both gaseous and discrete condensa tions upon o u r sun and planets This may be particularly evident in periods in an early discrete system of condensation of the very atten u ated external neb u la before its planetary condensation and in the possibility also of di screte condensa tions occurring at a period w hen the solar nebula by radiation of its initial heat fell below a temperature su fficient to support the gaseous state outside the present sun These principles will be developed in the following pages and the mode of special conditions of early condensation be disc u ssed for con temporary astronomical and for geological conditions in the past S ome suggestions will be carried forward , so far a s the h h c onditions remain ac t ive to the present and very o t e , , yp tic ally only for future periods in relation to the sun and the earth , , , . , . . - . , , . , . . N O TES O N T HE N E B U LA R TH E O RY 18 . incandescent ga seo u s m atter isolated in space in our ob serv able neb u l ae whereas we can have no evidence of a discrete state of matter widely distributed in scat tered small u nits of a fe w grains in weight a mile or m ore apart , as so me philosophers have suggested as such a discrete system would be q uite impossible of vis u al recognition At the same time i t is the probable condition that any isolated system of attenuated gaseous matter free to radiate heat into space will condense at a certain stage of temperat u re and form solid matter par ti cu larly if the gas is a heated form of ordinary solid matter Therefore taking an original nebula to have been in a gaseo u s state would not in some cases materially change the fi nal res u lts from that of a discre te system as rega rds the probable c ondition of condensation which may be instituted to for m the present stars , sun , or planets , if o ther conditions support this theory 1 9 A S regards the original state of matter from which w e m ay conceive cosmic bodies were formed it appears to be most rational for the mind to ass u me that m atter existed originally in a p u re or elementary state and that it after wards becam e mixed or combi n ed by the action o f interior and exterior forces acti n g u pon it under principles which generally term the laws of Nature This purity of state for the units of attenuated m a tter may possibly be best conceived by taking it to be originally gaseo u s as all mat ter can be shown experiment ally to exist for indefinite time permanent in this very atten u ated condition where its heat is conserved fro m radiation W hereas any system of discrete par ticles or dust in the presence of gravitat ion acting u pon it ca nnot be kept in an atten u ated or separate state witho u t impression of an exterio r force rotative or other, to act constantly u pon every p article as a m eans of separation It becomes there fore convenient in this discussion w itho u t regard to theory to pres um e so m e form of a gaseous state to be the original condition as experiment shows that all material bodies with , , , . , . , , , . " . , , . . , , . , . , , , , , O R I G INAL COND E N S ATI O N O F CO S MI C N E B U L E 19 . which we are acquainted may reasonably have been derived therefrom by red u ction of temperatu re alone whatever state or mass the final condensation may assum e — ~ i n a l M a t ter To support 2 0 S ep a r a tion of S y s te ms of O r ig the nebu lar theory of S ir Willia m H erschel and L aplace which assumes that stars and solar planetary systems were form ed fro m an extensive ga seo u s neb u la widely distributed , s u ch as we have evidence of ac tu ally in local systems of matter dispersed in the universe available to visio n in the teles c ope and to a naly sis by m eans of the spectroscope it is necessary as stated above that w e sho ul d ass u me a distant period of time when a certain vol u me or separate volumes of highly attenuated neb ulous matter existed detached from s u rro u nding space yet moving within it The vol u me of s u ch matter may be as extensive as w e may please to im agine it witho u t changing the general conditions It may embrac e the whole of tha t part of the u niverse w e de fi ne as th e Milky W ay or for partic ular evidences in detail be restricted to our o w n solar system To s u pport this theory it is only necess a ry that the nebula in the system that we separately define sho u ld have a surface bo u ndary from which it can radiate the heat into space whi c h maintained it originally in the nebulous or gaseous state We have by the effect of the radiation of heat from s u ch a syste m of m a tter t he ass u rance of its constant contraction in volu me tending by the approaching to the closer n e arn e s s o r contig u ous cohesion of its parts a ccumulation of matter in a local foc u s or in local foci , so that matter is ther e by bro u ght more forcibly u nder the centralizing a ct ion of gr avitation Th e e ffects of the c ondensations u pon s u ch foci from a gaseous syste m render available u pon che mical change of s t ate or u pon therm od y namic action , a store of energy which is s u fficient in the extent of neb u l ae here considered for the for mation of incandes c ent stars , and if any li mited volu m e of neb u la be ta ken to be locally in rotation for the production of a planetary system that may be fi n ally , . . . , - , , ' , , . . , . . , , , , , . , , , 0 2 N O T E S O N T HE N E B U LAR T H E O R Y 20 . formed therefrom , after a certain amount of radi ation of its initial heat into sp a ce 2 1 When we conceive that our solar nebula may have formed a part of a general system of neb ul ae as defi ned above and therefore that i t may have resembled other astronomical neb ul ae we may conclude that it w a s of that form , among the many known forms best adapted to produce our present solar planetary sys tem upon condensation F urther , it is not certain that the nebula of our system , taken as a motive system ma y not have gone through certain changes by which it might at various periods be represented by various forms of visible nebul ae Thus an originally diffused system could not have a nucleus or central condensation until this was formed and when formed the nebula would possess a ne w external appearance There are known nebul ae w hich present irre gularities of form inconsistent with condensed gravity systems appearing as irregular streaks and masses of incan descent hydrogen and helium S uch systems we cannot assume to have arrived at their final concentrated forms although it is at the same ti me probable that they are more complete as gravitative systems than they appear P robably the marked irregulari ty to t ele SC O pic vision in some of these masses particularly of the spiral n ebul a depends upon the incandescent hydrogen and heli u m being the visible part of the nebulo u s mass whereas other gaseous matter , invisible in an incandes cent gaseous state makes up the entire mass S uch m a t ter for instance as hydrogen united wit h oxygen in the proportion to form water would be invi sible under the condition s which wo u ld render the hydrogen visible This resid ual matter , which the spectroscope does not grasp may possibly be detected at a future time by some n e w method of analysis P ossibly it may be in ferred in some cases by re fraction and by clouding e ffects upon more distant objects In neb ul a that are so extensive as to suggest nearness to u s refraction may be s u ggested as evidence of trans parent . . , , , - . , . , . , . , . , , , . , . , . . , O R I G INAL CO NDEN SATI O N O F CO SMI C NE B U LAL 21 ‘ . In part of the nebula n ear 5 2 Cygni tt 1 5, the visible nebula appears as a c u rved stre ak of inca ndescent hydrogen shown in one of D r Isaa c R ob e rts s bea u tifu l photographs wherein upon the hollow side of the curve stars appear to be larger and m u ch more n u m ero u s than on the convex side as tho u gh the co m plete neb u la were of spheroid a l or lentic u lar form upon the conc ave side invisible itself throu gh its transparen cy yet possessing su ffi cient refractive power to act as the object glass of a telescope to m agnify a n d bring o u t stars in the backgro u nd which wo u ld otherwise “ be invi sible in o u r telescopes D r R oberts st ates th a t this gigantic neb u la is of an irregu lar oval ch a racter and that the bright side of this neb u la seems to form a sharply de fi n e d bound a ry between the stream of the Milky Way stars ” and those on its pre c eding side The photograph for P late II e e w a s taken by permission from a print, a nd does not do justice to D r Rob erts s original negative The hollow side where magnification occ u rs is shown towards e The dimness surroun ding neb u lar fields being evidence of the presence of nearly invisible matt er was pointed out by S ir Wm H erschel P ossibly also such matter may surround and float up the hydrogen chromosphere of the sun — i l i n a M a tter This is necessarily i n 2 2 T enu z ty of O r g sisted u pon in any system of c os m ology If we take a glob ul ar volume of ga s extending to the orbit of Nept u ne o nl y as the limit of our solar system and extend the m a ss of o u r sun and plane ts to this vol ume we find by calc u lation that the mean density of such matter would be equ al to abo u t that of air at the earth s surfac e If w e extend this to the mean distance between our s un and a near star we sho u ld have to add many decimal pla ces to o u r denominator Further it is di fficult t o conceive that an isolated system of matter as here proposed could remain of matter . ’ . , , , , , - . . “ * . ' . ’ . . ' . . . . ' . . . , ’ . , . it , S el ecti on of P h otograp hs of Stars , S tar cl u sters, and N ebul a , p 1 1 5 - ’ . . N O T E S O N T HE NEB U LAR TH E O RY 22 . eq u al density throughout u nless the central heat was enor m e a sly greater than that of the outer parts Therefore the gaseous matter m u st decrease in density in some form of geometrical ratio from the centre to the exterior surface and this must prod u ce a ten u ity abo u t the limits much greater than that sho w n even by the mean density of the system suggested above The spe c u lations of S ir Wm H erschel , as well as those of W right infer that the entire system of the Milky W ay formed at one period a unit system of matter This appears to be probable to modern science from evidences of the unity of chemical constit u tion of the stars shown by the spectre scope To account for su fficie n t tenuity in original cosmic matter it was suggested by D escartes that a small m a ss divided into detached particles as nearly in contact as matter can approach may fill a volume ho w ever large In fi nite divisibility of matter is however inconsistent with chemical phenomena which are better explained by the atomic theory 2 3 In regard to the atomic theory if we may take j ointly the calc u lations of Cauchy from the motion of light in solids and liquids of L ord Kelvin from certain electrical pheno mena and of Clausius and Clerk Maxwell from gaseo u s — phenomena the mean siz e of the ultimate atom is abo u t one 50 0 millionth of an inch In the amount of diffusion discussed in the previous paragraphs for space this would leave less than a Single atom to the cubic metre There fore , if the above stated gaseous theory is approxi m ately correct it is di fficult to suggest that such an atomic system formed our original neb u la even if the nebula were s uffi ciently heated to produce a system of general gaseous di ffu sion for such atomic separation The principles of diffu sion may be materially strengthened if w e can fi nd i t accordant with the inferences of science tha t matter , . , . . , . . , . , , . , . , , - , , - . - , , . d "el vi n Proc R oy Ins t vol x pt 2 p 2 13 Lor , . . . . . . , . . N O TE S O N T HE N E B U LA R T H E O RY 24 . not only hydrogen helium , or other g ases that become visible in an incandescent state u nder electrical excitation I pro pose the word p neuma to specially define this most attenuated for m of gaseous m atter which may have pervaded sp ace , composed of any or all the chemical elements , and which represented the state of infini te diffu sion proposed by H e lm holtz This matter would be transparent and not be Visible in any form except when undergoing chemical combinatio n or in condensation to form the visible nebula The pneuma , in condensing to form the nebula may be assumed to develop heat and electrical excitation , which renders the neb ula condensed therefrom incandescent at the time 2 5 In the condensation o f a pne u ma system to a nebular one , thro u gh radiation of heat it must be the ex terior s urfa ce alone of the nebula where chemical action can take place and where heat and electricity are developed thro u gh the conden sation which makes the neb u la become in any degree visible A further condensation of the interior of the nebula to form a central gravitation system or su n renders also this centre V isible by the heat due to the pressure of the nebula u pon condensation The light from the centre passes through the transparent part of the nebula or pneuma, which may or may not, at the time be undergoing chemical action 2 6 T aking the subj ect more in detail to meet possible conditions the constit u tion of the pneuma which appears to me the most consistent with the undulatory theory of light, and at the same time to present evidence of su fli cie nt tenuity to unite the material constitution of star systems , is that of perfect atomic dissociation of elementary matter to the extent that every line of light or shadow, as the case may be made visible in the spectroscope proceeding from electrically ex cited highly incandescent matter represents an active factor o r, if we please so to term it a distinct kind of dissociated atom in comparison with which the chemical atom may be con This appears to be a most Simple s i de re d to represent a mass , . . . . , . . , , , . . . , . , , , . O R I G I NAL CO NDEN S ATI O N O F CO SMI C N EED LE 25 . hypothesis of the original atten u ated form of matter which defines the factors a x E V of S ir B enj am in B rodie In this constru ction w e may ascribe to each kind of pneuma atom in a free state or when excited by heat or electri city one vibr a tion a l p er iod on l It also accounts from the certainty y of the great expansion in outward volu me of any known matter to produce this disso ciated state for the possibility of the m atter of any single star system extending originally to the m atter or pneuma of other stars 2 7 The dissociation of atomic matter to th e extent re pre se nted by spectral lines given above was ori ginally pre posed by P rof L o ckyer as a possible state of highly he ated matter made visible by special lines in the spectra of the sun and st ars not as representing the early condition of the neb u lar system here proposed , for which this scientist holds quite an O ppo site theory In his theory of the dissociation of matter in the sun and stars , P rof L ockyer endeavours to Show that the dissociated ato m s m ay possibly enter into several chemical elements represented by many lin es in their spe c tra so that any element may lack the matter that produces cer tain spectral lines This is proposed to be partic u larly shown in one case by the omission of certain Spectral lines in the iron group of the sun and of stellar spectra T That the same principles may be inferred of an original form of disso c ia tio n is possi b ly evident in a case where there is a tendency to a comm u nity of a certain system of materi al asso ciates as in the yttrium group of metals which have been found to be possible of separation by the refined experiments on Fractionation by Crookes , in which he has been able to separate yttrium in its co mmercial state into five or perhap eight distinct elements giving special spectral lines T 2 8 In suggesting a new word for the pre n ebular State of , , , . , . , , . . . , . , . . , , . - . ii p oth e si s 18 9 0 ‘ T S t di es i n S p e ctr m A naly si s p 16 6 1 B riti sh A s soci ati on Rep orts 18 8 6 p 5 83 Th e M e t eor t c Hy u ’ , . ’ u , , . , . . . N O T ES O N T H E N E B U LA R T H E O R Y 26 . matter it may be thought that this might be expressed b y some term already in use as for instance the p r imitive fl ui d of L ord Kelvin or by one of the numerous conceptions of the ether as that o f P rof O L odge , wherei n ether is con c e iv e d to be the only matter and force forming substance or by p r oty le the pre nebular m atter of Crookes 11 S uch conceptions may possib ly embrace the qu alities of the original materi als of the universe but they are so entirely hypo thetical that they bear no relation to experience which takes its fi rst conception from str u cture The indefinitely complex and variable motivity of a fluid assumed to produce the various kinds of known matter is more di ffi cult of conception than that of separate struct u ral u nits F urther, if such units can be correlated with natu ral phenomena as in chemistry or s pectroscopy , they become the le gitimate groundwork for the elements of a theory With this conception the idea herein intended to be expressed by pneuma is that it is an active substance composed of units which represent , sepa ri ous properties of matter r a te l or in combination all the va y These separate distinct elements of which there are assumed to be a much greater number than that of o u r acknowledged chemical elements may amount possibly to or more factors or varieties Upon this pre position it is more pro bable that che mical elements may be split up into many more elements than that they may hereafter be red u ced in number by fin ding any more generally specialized constit uent material or atom F or conciseness in the following discussion the pneuma atom , or what we may call the L ockyer dissociation unit , wil l be termed a p neu mite T he state and a ssociations of such n e u m ite s will be n o w considered as the groundwork of the p neb u lar theory to be proposed , , . . - . , , , . . . , . , , . , . , - - . . i iii p 45 T Le ct ure L ondon Inst i t uti on D e c 1 88 2 1 A ddress Bri t A ss oc C h emi cal S e cti on 188 6 E nc B r t 9 th e d . . . v ol , , . . . , . , . . . , . O R I GI NAL CO NDEN S A TI O N O F CO S MI C N E B U LZE . 27 at the same temperatu re m ay be all of equ al size they m u st be very mu ch smaller than the atom prob ably not over of its diameter They may — follo w the conditions of P ro u t s or of the Newlands Mende lej e ff periodic la w and combine consistently with prod u cing equ ivalents to di hydrogen atoms in giving u nits of a tomi c weight They have precisely the same capacity for heat They probably possess many uniform properties which are common to all m atter besides the spe cial individu al properties of each special pneu mite the active conditions of which will now be s u ggested i n relation to our subj ect 3 0 The action of electrical excitation or of intense or pos sib ly original heat is ass u med , as s u ggested by P rof L ockyer to have po w er to se t any pne u mite free fro m cohesio n to other matter where this is not subject to severe press u re causing repulsion between pne u mite and pne u mite In this case a pne u mite may under excitation e xist as a separate free u nit if there is no surro u nding pressure o r local attraction acting too forcibly u pon the system of which it forms a part to cause its combination Upon its com bination w ith other pne u mite s to enter the atomic S tate it will de velop heat or electric al excitation comparable to that which wo uld cause its separation In the free s tate of the pne u mite it is assumed to possess or attain only a single rate of vibration period for each Special pne u m ite The vibration period may depend partly u pon the initial elasticity of the surfa ce of the pne u m ite whic h may be partly develo ped u pon its surface as an ex a n si on by heat as we know no li mit to the action of this p force or as a repulsion under like Sign of electricity, causing by thi s expansion or repulsion from contact the separation fro m other near pn e u mite s to render it motive Thi s may also produce vibrational e ffects from projection thro u gh expansion causing the colli sion of one pne u mite with o thers the elastic motivity of which may contin u e in i ts vi b rational 29 T he p ne u mites . , . ’ - . . , . . . , , . , . . . , , , . N O TE S O N T HE NE BU LA R TH E ORY 28 . e ffects by reflection in collisions thro u gh the reaction o f its weight or energy in attraction of gravitation or affinity t o w ards its ow n and other matter as qualities o f the special n m eu i t e A ny of these conditions may distinguish a p n e u mite as a separate special factor of matter p 3 1 A physical constitution of the n e u m ite may be sug p gested similar to that I originally proposed for the atom that of a perfectly hard centre and a perfectly tough and in fi nitely elastic impressible and compressible coating —an outward condition of m atter t hat may possibly b e inferred . . . , Fi g 2 . . from the force required to bring two convex surfaces of glass nearly together The pn e u mites of equ al size and at the same temperature may possess relatively di fferent di ameters of centres and of elastic coatings or they may possess diminishing density from the centre or polarity Thus fig 2 a may represent diagrammatically a very light elastic n e u m it e of wide or slow vibrational period 0 one of rapid p period I) one of interm ediate period 3 2 A s regards the elastic sensitiveness of any pn e u mite d m ay represent a very sensitive for m in which the coating di minishes in density from the centre outwards ; e a pne u mite with a polar axis y z possessing vibrational influences u nequal in di ffere n t directions f may Show di a grammatically the expansion of the pne u mite by heat , p being the li m it o f expansion by increment of temperature up to the critical point p a sudden expansion at the critical point to form a gas A special pn eu mite m ay be adapted to take one form of electricity or so that it can only combine with another . , . . , , . . , , , . ' . , Fl id p 10 u s, ’ . . O RI G INAL CO NDENSA TI O N O F CO S MI C N EB U LzE 29 . li ke pn eu mite un der decrease of temperature through the intervention or inclusion of a pne u mite of a different Sign 3 3 The centre of the pn e u m it e may be in one sense a universal form of gra vitative matter (gra vite) or this may be an element of it u pon whi ch alone the amount of gravi tati on and cohesion depends while still possessing other a ffinities The resistance to combination may depend upon the rigidity or depth of elastic coating of the pne u mite the limiting extreme surfa ce being however a constant of perfect elasticity In the combin a tion of tw o or more n eu i m s t e at equ al temperature g fig 3 may represent the p . . , , . , , , . , . , , gaseous state at the nearest approach of tw o pne umite s h thi s state in combination i tw o inseparable pn e u mite s at the same gaseous temperature With the like factors to those described above as the special characters of separate pneu mites the final co m po und atom may possess any observable quali fi cation due to its composition In the same manner as the apparently similar cell in organic life possesses the elements of the functions of the organ to wh ic h it belongs Taken in this manner, a free atom may be considered to resemble in a certain degree the physical state of an organic being possessing potentialities which are active only when it is endowed with the vital force of heat or electricity su ffi c ient to produce the fluid state but which cease when this S o that the ato m influen c e is withdra w n or dissipated remains encysted as it were in a dorm an t state when it forms part of a solid mass o u twardly sensitive only to the properties of cohesion and static equ ilibrium , so as to be , , . , . . , , . [ , , , , T HE N E B U LA R T H E O R Y N O TES O 30 N ’ . affected by temperature and electrical excitation only t o a lim ited degree If there is a distinct pn e u mite of en tirely discordant vib ra tio n al period with other pn e u mite s it will form a permanently — — issoci ted system give a single line in the spectrum have d a no power of association or absorption with other m atter, an d be i m possible of condens ation from the pneu ma state The ne u m ite is ass u m ed to be the prime mover of light vibra p tion which may be communicated thro u gh ether or otherwise to a distance The mode of construction proposed above for t h e initial units of matter appears to me to be simpler than that of assuming any single factor to possess at the same time many distinct properties vibrational chemical and other Indeed it is easier to conceive varieties of s u ch str u cturally si m ple distinct u nits than one endowed indi vid u ally with the many properties of the chemical atom needing Clerk Maxwell s little demon to direct it 3 4 In the general pne u ma system here proposed as being formed of specialized pne u m ite s although the pne u ma may be invisible itself w h en widely dispersed in space , it may form in great bulk a density system by m u tu al att raction and even possess a certain degree of absorbent or refractive power upon light passing through it a s before suggested for attenuated nebula It would evi dently in all cases be placed exterior to the denser neb u l a before its condensation thereto ; which m ay m eet S ir W m H erschel s suggestion that a nebulo u s appearance of stars may someti m es be caused b y their shining thro u gh an a tten u ated medium . , . , . , , . , , , ’ - . . , , , . ’ . ' 35 . Chemica l A ction i n l r e a tion U pon the to P n eu ma S y s tem a ss u m e that our sola r a . data j u st proposed if w e pneuma sys t em originally extended to the primitive radius o f other star systems then in condensation , we may imagine , 9" P h il T rans 18 11 , p 3 59 . . . . N O T E S O N T H E NEB U LA R T H E O R Y 32 . produce ano ther less divided molecular system leaving only a single group of molecules suffi ciently active synchronously for spectroscopic observation the vibrations Sinking by loss of temperature or electrical excitation to a perfect molec u lar concentrated condition of restricted vibration , moving belo w a light gl vm g period of energy 3 7 It will be seen also from this proposition that by vibrational unity an element may possibly be formed minus certain pne u mites or with a greater or less number ; as fo r instance the spectrum of another star syste m as suggested by P rof L ockyer may resemble our own in cer tain spectral lines , thro u gh being formed of pne u mite groups or chemical atoms from the prevailing pneuma slightly different from the solar constituents The sun or a star may possess a metal that may resemble iron in many particulars and yet not be in all chemical properties exactly like o u r iron from the difference of pn e u mite composition sho w n in the quantity of Special n e u mite s which constituted the pneuma from which it was p formed ; but once formed it would be universal to the special system An v line in a star may be omitted or other lines added in an approximately like chemical element Certain n e u mite s of accordant period may combine in several groups p as for instance certain hydrogen pn e u m i te s of the C F G gro u ps may be present also in nitrogen only slightly dis placed from a n ormal position , or even in a kind of duplicate motive action giving two lines instead of one , through collateral or rotative vibrational infl u ences of other combined n e u mi te s special to the nitrogen or the hydrogen atom p T h e sensitiveness of any special group by its collateral in ternal vibrational freedom would prod u ce s u fficient vibrational amplit u de for s pe ctroscO pic observation , whereas another more restricted motive gro u p as before stated , would fail in this and therefore be invisible — Fu rther upon the above pre 3 8 Cohesion of M a tter mises there must be a unity of vibration period for the , , - . . , , , , , . . , , . . , , , , , , . , . , . . , - , O RI G I NAL CO ND E N S A T I O N O F CO SMI C NE B U LZE 33 . co ncre te chemical atom derived from the mean moment u m of the associated periods of the pn e u mites of which it was forme d and the possibility of a like unity of atom and atom to form the molecu le Therefore the possi b ility of a u nity of sp a ce motion between li ke che mical atom and atom and molecu le and molecule and thereby a possibility of near appro ach when in like ph a se causi n g s u ch atoms or molec u les to inter lock as it were an d form denser m atter, or to form a local cohesive system to which surrounding free a toms or m ole c u les would be drawn and adhere by c entral affinity or gravitational infl u ences to form m a ss or visible material In this manner in the neb u lar system as the denser masses of a ssociated mat ter atoms or molecules appro a ch thro u gh the infl u ence of wh a t we may term internal cohesion to gravi ta tion centres of attraction the sum of these motive systems of discordant vi b rational period or those constit u ted of lighte r Vibrational momen tum or of higher elasticity through sim i l i t c of n u m ite composition forming altogether what we e p , p y recognize as lighter or more rep u lsive matter would be displaced to the exterior parts from gravita tion centres , as hydrogen and heli u m are about the stars and visible nebular systems The motive energy lost by the concrete associatio n of pne u mite s to atoms and atoms to m asses may be trans ferred to s u rro u nding space This energy, being dissipated thro u gh the o u ter attenuated pne u ma or the ether w ill appear as tangible heat or visible light , in its encounter with any exterior material body 3 9 It is possi b le that an atomic system may be formed of separate pne u mite s not of a bs olu te ly concord a nt vibrational perio d In this case the atoms formed of pn e u mite s of perfectly concordant period will be Stable , and in cohesion also stable as gold A toms formed of pne u mite s partly of slightly discordant period would be u nstable and the same in c ohesion Atoms formed within the greatest possible limits A pp endi x A , . , , . , , , , - , , - , - . , . , , . . , . , . . N O T ES O N T HE N E BU LA R T H E O RY 34 . of discordant period would be explosive A toms in ch emical combination with oth er atoms of slightly discordant period would be also explosive although they might be p er s e a s regards pne u mi te composition of concordant period O n the other hand atoms may have concordant period althou gh their pne u mite composition may b e partially discordant with other atoms Matter formed of such concordant atoms with other atoms would have a tendency to associ a te in chemical composition or alloy as nickel and cobalt the two groups of platinum metals yttri u m and didymium & c 4 0 In a vast pneuma system supposed to be in a state of elastic agitation through he at infl u ences and possibly elec trical excitation , which may afterwards form a solar system , we may assume th at the primitive pne umites move in mul tiple vibrational periods a 3 d 2 5m r, or 5 9 y y y r S ince a or y may represent any number of vibra tions in unit of time these pn e u mite s would be ready to unite into atomic systems Therefore we may assume t h ese concordant atoms w ould form the bul k of cosmic materials F or instance iron with its great number of spectral lines may be the predominant material T his is consistent wi th its predominance in the meteoric matter which falls to th e earth condensed fro m the universal pneuma The last n i t m es to unite would be t hose at the limits of the possible e u p approximately vibrational period that would be capable of forming atomic s y stems These would bear some rela tion to the tempered notes c it d b in pianoforte t uning in relation to 7 r a where a 2 m w a 3 m O r as a B y B 7 f, g 7 represent the b ea t periods only of the vibrational time of a Matter formed of such atoms would be possibly rare in a cosmic system as the greater number of pneu mites would be s elected to unite in the permanent atom groups of Simple multiple period S uch complex atoms in B 7 pe riods would be possibly open t o dissociation or to form separately material r bodies a , 3 1 1a r Under such or B 53 , . , . , , . , , " , . , . , , , , , , , . , . . , . . , . , , a . , , f ' , a , , , , . , - a . , 04 , , , , . O RI G INAL C O ND E N S A T I O N O F CO SM I C N E B U LzE 35 . re fi ned systems of analysis as that of fractionation by C rookes therefore s u ch factors of matter would represent the meta elements of that philosopher — The theory of 4 1 O b serva tion of A s tr on omica l N ebu la the nebular condition derived from observation of the bluish or greenish unresolvable n ebul a having regard to the facts revealed by experimental science appears to be best explained by assuming these nebul a to be purely gaseo u s The m ode of condensation w hich I would suggest which renders these mas ses visible to their extreme outline , is purely chemical in the form herein pre posed and takes place within the exterior surface of the n ebula only The n ebu la may or may not cleus ossess a central incandescent nu The chemical action p r esul ts in the degradation of the pneuma t o a gas or a nebula u nde r which action free electricity is developed 4 2 In the early purely pneuma state all the elements may co mbine by mixture but still remain separa te distinct The condens a tion of pneuma to the nebular state e u mite s n p causes matter to fall towards the centre through cohesion , w here a secondary central system of illumination through h eat may be formed by gravity leaving an attenuated atmo Sphere of the lighte r, more permanent gases in exterio r position , as before sta ted The effect of the superfi cial con densation is to develop electrici t y , just as the condensa tion of water vapour in clouds develops it in our atmosphere Th erefore , if we cou ld see a nebula quite near it would within its surface be continually Sparkling or possibly be These sparkles suffused with dispersed flashes of lightning or flashes would not occur in the extreme limiting surface w hich would possibly be of hydrogen and he lium in a hi g h state of diffu sion but in a somewha t lower stratum where possibly air or nitrogen would form a denser layer probably united with aqueous vapour as in our atmosphere These flashes are assumed to produce the bright lines of nitrogen a S e e W m C ro oke s s imp ort ant A dd re ss t o t h e C h em cal S oc i et y 188 8 D2 , . , , . , . . , . . , . , . - . ' , . , , , , . s ’ . i , . N O TES O N T HE N E B U LA R T H E O RY 36 ; or helium occasionally seen in the spectroscope The ex t e rior hydrogen and helium in greater tension than that of a G e is sle r s t u be becomes electrically excite d and forms also an insulator to the internal matter which is under intense chemical action or under vivid electrization thro u gh the chemical action ; so that we may consider an apparent neb u la as the seat of an auroral display This superficial action of forces producing light vibrations , wo u ld detract little energy from a large volume of matter in a n ebular system whereas the radiation of intense heat from the entire system su ffi cient to produce the light we observe would detract much and s ti ll not account for the spe ctrO S CO pi c phenomena — A s the s u n is evidently at a 4 3 Condition of the S u n temperat u re above that of dissociation of the chemical elements , it must be represented by a permanen t gas the gravita tion of the mass causing great press u re in its central parts Under such conditions there would still be t h e tendency for the exterior disso c iated pneu mi te s to u nite into equal or m u ltiple vibrational systems , although the elasticity or rep u lsive action of the surface of the pne umite co u ld never at its tempera ture be overcome by pressure so as to allow of a very dense system being formed P robably the constan t tendency of the pneuma to unite into a density system in vibrational u nity is the cause of intense chemical action , development of heat , an d electricity Through the in ternal friction of the heat vibrations of the syste m a liquid density system may never be approached under present conditions The temperature of the sun a t present no doubt dissociates all elements and projects the dissociates (p neu mites ) from its s u rface as gas where the press u re is reduced but such pneu mites cannot maintain a permanent state under the open radiation of the sun s surface They therefore condense to nebul a and obst ruct his direct rays still moving at their o w n vibrational period , and become light absorbing elements ; It is probable that very re fractory matte r projected locally . , ’ , , ’ . - , , , . . , . ) . . . , , , , ’ . , - O R I G INA L CO NDEN S A TI O N O F CO S MI C N E B U LzE 37 . out w ards fro m the sun s s u rface may not reach the surface of the photosphere b ut that it c ondenses to neb u la through radiation at a lower depth producing the deeper s u rface of the s u n spots These spots may in this case be possibly found to be formed of a close series of absorption lines d u e to very refra c tory matter which may be ob s erv ab le if the central light is sufficient to pass through them to Show the inter Vibrational intervals Therefore it is possible that the more refra ctory matters invisible in the s olar spectrum of the photosphere may hereafter with refi ned analysis be found in the spots 44 In ass u ming the s u n to have been condensed from an e xtensive nebula whi c h extended originally mu c h beyond the orbi t of Neptune it wo u ld appear at fi rst though t that the lighter, less refractory matter in the gaseous s tate wo u ld remain at an ex terior position This has reasonably been proposed to account for the smaller densities of the s u perior planets Upon this argument the presence of hydrogen near the s u rface O f the present sun appears to be anomalous There are however t w o re a sons why it should appear abo u t the s u n The sun derived its matter from all directions Tangential motion assisted in prevention of approach of lighter m atter in the planetary plane where matter was pl a ced most perfectly in motive equ ili b rium with gravitation Where a s above the sola r poles where all matter must a pproach witho u t tangential resistance hy drogen wo uld also ultimately approach when all the more refractory matter had 2 m condensed ithin the pne u ma syste proposed the W ( ) n e u m ites of hydrogen possibly possess perfect vi brational p concord with those of a dense metal say palladi u m , and therefore condense to vapour with it but at the intense heat upon the present sun surface the hydrogen is constantly excl u ded although it remains permanently about the s u n s s urface by its gravitation ’ , , - . , , - ’ , - . , , . . , . . . , , . . , , . . , , , - ’ , . [ 38 ] C HAPTE R II I F O R MA TI O N 45 . For ma tion . O F S T ELLA R AND S O LA R S Y ST E MS N ebu la f o a nd . S te llar Sy s tems fr om the — i n a l P neu ma S y s te m in the M lhy Wa Under the con g y ditions s ug gested in the last Chapter we may ass u me that or i the whole system of the Milky Way formed an immense pneuma moving in s low rotation the volume of which included the original places of the matter which sur rounded and formed all the stars of the system S uch a system , of the vol u me the premises infer , could not be maintained static against gravity unless its pne u ma was in a highly heated or motive state In the interior of the s y stem heat would be best conserved from radiation , therefore the exterior parts of the system alone could radiate heat freely into Space to con dense this pneuma into the nebul ar state T aken in this way, the parts of the entire pneuma upon which separate nebular systems could condense by radiation into nebular star systems wo u ld be at first only relatively near the exterior limits of the system The outer condensing parts of the system would , on account of distance , be held only lightly to the gravitation centre of inertia O f the entire mass and there wo u ld b e present certain elements of tangentia l action from the rotation The neb u la would therefore experience e ffec tive resistance in falling towards the centre from this cause and from the motive elasticity of the interior highly heated parts , which would become by condensation denser than the exterior parts Under these conditions the ea r ly formed , . . . . , . . N O T E S O N T HE NE B U LAR T H E O RY 40 . until the whole system of pne u ma here considered was con de n sin g thro u gh radiation of heat to nebul a and finally into stellar systems under initial gravitation with intense che mical action Upon this principle the pneu ma would be separated into unit neb u lar star systems , and finally into individ ual stars each radiating heat proportional to its con densation into universal space , as it does at the present time in our Milky Way C ertain local systems as here de fi ned possessed of great central density , if seen from remote distance wo u ld resemble in the whole or i n partly advanced st a ges of condensation some of the glob u lar or lenticular clusters such as Messier 3 1 3 1 5 53 9 2 and others 4 7 S u gges ted M otive con dition s of the O r igin a l P n eu ma of — If this pneuma was originally motive by the M lhy W ay rotation about a c entre of inertia or otherwise as just pro posed its separate units detached by local condensation , wo u ld be also motive by continuity of the original momentum which in a perfectly fluid system would be diverted in any direction that at the time presented the least resistance to its m otivity There is not ho w ever, in the Milky Way the perfect symmetry necessary to infer an original uniform rotative pne u m a formed u nder simple condensation O ur Milky W ay is app arently an immense fl attish bifurcating plane of great depth formed of sta rs u nequ ally distrib u ted A nother m ode of formation may be suggested which although entirely hypothetical or may be fa n ciful is not altogether inconsistent with the wonderful vari a tio n s in th e for m s which exist at the present ti m e in visi b le neb ul a These proposed conditions may also have partly indu c ed the separation of the pneuma system into unit star systems and are quite consistent with the motion o f matter upon the neb u lar hypo thesis o f D es c artes which is so ably supported by M Faye 4 8 A ssuming that there were vast pneu m a systems moving originally freely in Space , t he tendency of such separate 1 - e . . , , , , , , . . . , , , , . , . . , , , . , , . . . F O RM ATI O N O F ST ELLAR AND S O L AR S YS T EM S . 41 systems in isolation under the influence of gravitation would be to fo rm Spheroidal systems The flatti sh form of o u r Milky Way may possi bly indicate that tw o such spheroidal s y stems of immense volume at an early period may have drifted together S uch a collision as wo u ld be prod uced a t the meeting surface would form at once a relatively superi or density plane where the matter of the t w o systems would be united , and henceforth the centre of gravity of the tw o s ystems wo u ld be changed to the centre of meeting plane of the tw o systems The pneuma s vste ms being in the highes t degree elastic , wou ld contin u e the momentum of their original projection of mass in direction nor mal to the plane of contact for many millions of years after impact contin uing also to compress and flatten out the m atter of the original meeting plane The pressure in this pl a ne wo uld be increased independently of original momentum b y the a ction of the m u tual gravita t ion of the two systems in approaching to unity throughout the meeting surface O ne e ffe ct of the compres sion at the meeting s u rface described above would be the d evelopment of intense heat and electri fi cation The elec t rical excitation wo u ld di ffuse itself thro u gh the entire mass possibly rendering it lu minous to its extreme limits 4 9 The res u lt of such a collision after n millions of years would be the formation of a va st lentic u lar pneuma more intensely heated in its central plane which would be more dense fro m compression and gravitation than the su rrounding parts If the two parts did not entirely combine a bifu r cating syste m might be formed The whole system wo u ld under any condition possess a momentum c o m pounded of the original momen ta of the two pneuma Systems from which it was for m ed but in its separate parts it wo u ld possess motivities consistent with the con di tions brought about by the collision and reflective re actions of parts of the perfectly fluid matter of the pne u ma systems Without such a collision as herein depic ted it is possible that the condensation of the stellar . . - - . , . - . - . - . , . . , . , . , . N O T ES O N T HE N E BU LA R TH E O RY 42 . pneuma systems of the parts of t he Milky Way would have been much slower than they were , so as possibly not to have advanced at the present time beyond the condition of what may be the present state of outer matte r about th e galactic poles 50 Cy clone in d ucing co nd ition s — A ssu ming the pne u ma to be a most perfect fl uid and elastic sy ste m of matter upon the meeting of two volu mes of such matter , inde pe n d e ntly of any initia l rotation it might possess m u st have moved under press u re at t he meeting plane in every or any direction which at the time o ffered the least resistance to the continuity O f its initial m oment u m Therefore , in the meet ing of two fluid systems as proposed above , the di r ection for continuity of m otion o f the o u tflow of these systems from the contact plane where the pressure would be greatest being suppor ted by the moment u m O f the following parts , would drive the co mpressed motive pneuma into directions normal to the pressure Under the conditions given the outflo w w ould be along the plane of contact and outwards in every direction from the centre of greatest co m pression , thus pro j ecting the fluid into a c u rrent p lane S u ch a motive plane or current as I have shown by many experiments in my work on The Motion of Fl u ids engenders m otive whirls in the con tig u o u s parts of the s u rrounding fluid , this form o ffering the least frictional resistance to contin u ity of motion of a fl uid movi n g within a like fluid These whirls , if formed on the principles suggested , wo u ld in their turn engender other friction whirls exterior to themselves , until the entire system became one of complete eddying motion , as it I s termed 5 1 A s this form of fluid motion originally investigated b y myself is not v ery generally known , it may be as well to demonstrate this hypothesis by givi n g an illustration which I take from an experiment in my work on the Motion of F luids , - . . , , - . , , . . , . . . , , Fl id pp 2 2 7 u s, ’ . and 3 10 . F O RM A TI O N O F S T ELLA R AN D S O LA R S YS T E M S . 43 in which the resistance to a flowing fl uid in a plane of pres sure is applicable to the conditions s u ggested above Al tho u gh the experiment referred to is on a very small scale I have shown that motive systems of fluid are proportional and irrespective of scale , so that the same principles extend to the surface motions o f the N orth Atlantic O cean as b old good in the small experiment I describe Take tw o plates of perfectly clean glass say about S ix inches sq u are and fi rmly cement a border of card abo u t i ’s of an inch in thickness ro u nd three sides of one of the plates with marine glue Then cement the second plate to the fi rst B y this mean s a very thin waterproof tro u gh will be formed open at the te p If we now fi ll this with clean wate r and place it upright in a groove in a piece of stout wood , the experimental app aratus will be complete . , , , , . . , . . To observe the desired e ffects the tro u gh should be placed before a windo w to transmit light through it , when the following phenomena of original fluid projection may be observed by the proj ected slightly heavier liquid diffusin g , Fl id p 3 6 6 i ‘ u s, ’ . , . N O T E S O N T HE N E B U LA R T H E O R Y 44 . itself in a current through the constant force of press u re of its small excess of gravity “ Take a pen full of ink and place this gently upon the s u rfa ce of the water in the tro u gh The ink as it descends slowly by excess of gravity over the water , will be fo u nd to d ivide constantly upon the resistance which opposes its direct projection the divide d parts having insu fficient moment u m of projection to move the latera l fl u id tangentially to pro duce extensive lateral whi rls A fter the fi rst division of the d escending fluid the divided parts again divide and these again so that by this constant division and after subdivision the projected fluid takes a tree like form , the terminals being in spiral rotation The ill u stration (fi g 4) was take n by transmitted light exactly following the outlines of the projection of ink in the thin troug h described it is therefore represented of the observed si z e In this experiment the sides of the trough are assumed to r ep r esent the p r essure planes , . . , , . , , - . . , . principle of lateral diffu sion of whirls is seen contiguo u s to any flowing stream in lateral water the sketch (fig 5) was tak en from the fl ow of water thro u gh an arch of L ondon B ridge 52 . T he . . Fl id p 3 14 ; id p 3 10 ‘ u s, ’ . . . . F O R MATI O N O F S TE LLA R AND S O LA R S Y STE M S 45 . In this matte r we m ight consider the separate motive cyclonic volumes of nebul a in a ve r y atte n u ated system to be an early form of projected matter ind u cing rotation in stellar formations as in the theory propounded by D escartes and so ably supported by M Faye These motions must however be considered to take place strictly within the pne u ma , and would not be the ca u se of its condensation or separation into Stellar systems the conditions of whi ch as effects of radiation have been alrea dy discu sse d 45 5 3 F or ma tio n of Sp ir a l N eb u lae a nd S tella r S y s tems Taking any separate unit system of pneuma as a part of the system just proposed or any other w e will ass u me this to be in uniform angular re vol u tion , its exterior parts moving with a velocity below that whic h wo u ld project them in an orbit The outer matter of the syst em being ass u med to condense thro u gh radiation then particle would approach particle as the n ear parts of vapour in the atmosphere do to form rain drops S uch particles o r drops would follo w in the general drift of the resid u al vapour of other matter that co uld con dense only at a lower te mperature as rain drops fall thro u gh air Under these conditions the earliest condensed o u te r matter would drift as a discrete system in showers or con r e a tio n s or con c atenations unde rthe s u rrounding resistance g g in spiral lines towards the centre of the system with in cre as ing velocity owing to acceleration by gravity S u ch con re atio n s of material discrete particles under the influence g g of mu tu al lo cal attractions would p resent a feathery or fl oc c u lent appearance on the breaking up of the outer pneuma of the syst e m They wo u ld possibly be ill u minated by friction on electrical excitation A s soon as the isolated fl occuli drifted in spiral paths sunward or to the star centre other surrounding condensing matter would follow in the same direction by initial gravitative influences , and form currents ' , . . , , , . , . . , . , . - . ‘ . . - , it N ew ton s Principi a ’ ‘ , ’ L ib . n . prop xv . . N O T ES O N T H E N E B U LA R T H EO R Y 46 . in ce rtain positions piercing through th e mino r r esis tances of th e lighter interior gaseous matter which condenses only at a lower temperat u re In this manner a condensing neb ul ar system moving in spiral lines sunward would appea r , if seen from a distance to be a pe rfectly s tationary system , although its condensation might be prog r essing at a rapid rate as the same position of spiral stream lines of drifting fl occu li wo u ld be constantly conserved locally Thi s may be the most general form of neb ul ar condensation . , , - . . 54 . S o la r P la neta ry indu cing cond ition s in Sp ir a l N ebu lae - — If the original tangential motion of a pneuma system . , condensing with acceleration of i ts fl o cculi throu gh gravita tion into a Spiral nebular system , atta ined su fficie nt velocity through gravity t o maintain the fl occuli, drifting as above proposed at a certain position I n an orbi t exterior t o the central sys te m of the pneuma this matter although in re v olu tion would remain in equilibrium at a cer tain di stance from th e central sun or s tar , just as though it floated on frictionless It would thus draw its separate parts togeth er withi n w ater certain limits by its own inte rnal initial gravi tation and the drift of following parts so as to form a separate nebula r condensation or zone exterior to the centre which thereby ultimately would become in a condition to form a planet The direction of rota tio n of such an orbit zone or planet wil l be discussed hereafter In the above w e may see clearly the possibility of a pa rtially discrete system o f condensation of exterior mat te r becoming a fac to r of solar nebular planetary formati on Upon the conditions proposed in th e above and th e pre ceding paragraphs , we may suggest that , in the condensation of the volume of pneuma n ecessary to form a sola r plan eta ry system , a nebular syste m may be formed at a certain pe riod by central condensation which will maintain th e nebula r condition abo u t the centre , but that this may be surrounded at an early sta g e by discrete condensations falling thereto , , ' , . , , . - . . - , N O TES O N T HE N E B U LAR T H E O R Y 48 . necessarily su ggest a unit centre of revolution fo r all s tars o r even for those which compose the Milky Way The cyclonic sys t ems just proposed wo u ld at least be inconsistent with this There is space eno u gh for many centralized gravitation systems within the more universal system of the Milky Way in which the stars are pla c ed at distances from one another far too great to render gravita tion active upon the members of any separate system beyond prod u cing slight variations in the forms of the stellar orbits s u rro u nding the n earest o r strongest central attrac tion although there may be even over and beyond this a general drift or circulation of the entire system or any part of it in which the separate systems h ere considered are embraced 5 7 The influence of the knowledge of our solar planeta ry system acts so powerfully upon the mind that it is di ffi cult to conceive t he action of gravitation upon cosmic bodies o t her wise than with certain elements o f tangential motion by which they move symmetrically in a plane about a centre of inertia In the wide distrib ution of Stars in all directions this may not be u niversal It is quite possible and consistent with an original fl u id State , that stars may not always forni part of a closed system drifting in a circ u lar or elliptic orbit S u ch orbits may be contorted in any way by s u rro u nding infl u ences and still retain the elemen ts of original sidereal moment u m The evidence of the variety o f form taken by g ravitative m atter in the distribution of stars in star cl u sters and in some neb u l a appears to Show that stars and matter m ove sometimes in a system o f stream lines follo w ing on e another in a form w e may term p ea r ling (as pearls of de w ) This applies to the a ctual appearance only not to the mode of formation S o meti m es these pearls or stars drift in spirals o r cyclones in like manne r to the matter that forms the system of b iv olu tes in M 5 1 Canum V e naticoru m M 7 4 P i s ciu m 1331 I 1 6 8 Urs a Majoris , as shown in D r R o b e rts s beautifu l photographs We can b u t conceive that there m u st never , . . , . - . , ' . . , . . - , . , . , , . . , ’ . . . F O R M A TI O N O F S T ELLA R AND S O LAR SYS T E M S 49 . beyond this througho u t all matter if gravita tion be u niversal , a tendency to approach of m ass to mass which can only be resisted by a motion in discrete bodies in which there are certain elements of tangential direction and this m u st ultimately tend to cause the whole of any system of m atter to approa ch a sy m metrical form of orbital motion about its c entre of inertia which may incl u de the orbital or other motions of its separa te p arts a s in the case o f the sun and planets ; b u t the ti m e ne c ess a ry for s u ch a complete formation in the u niverse would appear to be so far infinite that it may never nearly have approached completion in any large division of the stellar system 5 8 D is ta n ces u n d er w hich G r a vita tion m ay be a cti ve —It may be di ffi cult in some cases to imagine the distu rbing infl u ence of gravitation at so gre a t a distance as we know matter to exist in s tellar space as inferred above B u t , as it is proposed that the action of gravitation is u nlimited in space , acting upon free bodies according to its law of accele ration then a small a ttrac tion u pon a very dist a nt free body , where the general composition of motions permits approach , will prod u c e a great velocity in a period which may be relatively short for past time A ssu m e a ny free body , at a very distant period to be moving to w ards our sun with a velocity of one centim etre a year which we may take as a quite impalpable motion in space still in one million years if the body re m ain in re lative position towards the sun as reg ards exterior influences it will h a ve attained a velocity of approach of ten kilometres a year and this velocity wo u ld increase with ti m e in like ratio until in n millions of years some small fra c tion of the past it would fall towards the sun with velocity equal to or greater than the highest ever observed within our system 5 9 S ugges ted a ction of Gr a vity in time in the for ma tio n of If gravity is instantaneous for all distances Cir cu la r O r b its an orbit once formed must remain constant in relation to its E thele ss be , , , , . . . , . , . , , , , , , , . . - . , N O T E S O N T HE N E B U LAR TH E O RY 50 . focus for all ti m e if it moves in a perfectly frictionless medium B ut as the orbits of certain planets and satellites are so nearly circ u l a r it would appear that there m u st be some re a son for this in a circle ind u cing qu ality as a property O f the forces by which th e se bodies are directed There is n o do u bt th a t in the c ondensation of a spheroidal gaseous system O f ne arly the diameter O f a pl a netary orbit as in the theory O f L aplace that circular or elliptical revol u tion might be bro u ght about by the resistan c e of the gaseous central matter to change o wing to u niform angular velocity in all its parts This will be again considered B ut a second fa ctor of resistance might reasonably be derived from a time ele m ent in the action O f gravity in a manner also originally proposed by L aplace In this proposition as time is in fi nite s m all constant forces active in the past may have produced great effects by the present time 6 0 It becomes there fore m ore rational whatever we take Space to be vacuum or ether , to assume gravity acting through this Space in time say with the velocity O f light or with m u ch greater velocity It is not in thi s case probable that any time element of attraction co u ld be detected if the distance remained approximately constant as w e m ay ea sily imagine the action of gravity to be ind u ced and that after ind uction it re m ain s a constant for constant distance The c hange of position in approach or recession may produce a change in the gravitation force of i n d u ction a n d this may take time Thus as an instan c e in the approach of a comet to perihelion under deferred increasing fa ctors O f gravity it wo uld arrive som ewhat behind its time b u t as the attraction wo u ld still act in like inverse ratio after i t had passed peri helion it would retard and deflect the body i f ori ginally projected in a parabolic orbit into an elliptic orbit a fter this passage If the body moved in an elliptic orbit, the action . , - . , , , . . , . , . . , , , , , , , . , . , . , , , , , . at App endi x A . F O R MATI O N O F S T ELLAR AND S O LAR SY STEM S . 51 due to a time factor in gravitation would decrease the eccentricity at every perihelion passage and increase the time O f revol ution in approaching cons tantly to a more nearly circu lar orbit The circle being the greatest inscribed area d u e to a given mean rate O f tangential motion therefore w e m ay i m agine it the state of least internal resistance and of the u ltimate motive equ i libriu m for the orbit O f a celestial body centre , . , . [ 52 ] C H A P TE R I V . S T ELLAR AND S O LAR C O NDEN S A TI O N —F O R M A T I O N O F O RB IT S 61 . . S ep a ra te S te lla r a nd P la neta ry indu cing Con d ition s in R ota tion — Under the f the JVebu lce , a cco r ding to the a mou nt o . onditions already discussed assuming that any isolated vol u me O f pneuma may form a part O f the universe , w e may take it as probable that it w ill form a system O f m atter which will contract in v ol u me by radiation directly u nder the infl u ence of gravity until it forms a central gaseous sph ere or spheroid This if of su fficient size , would form a neb u lo u s star in an early incandescent state of condensation We may assume th a t such a system if it has no rotation , or if its rotation is slow , resulting either from the original motion impressed upon the nebula or from matter gravitating towards it from all directions with nearly eq u al momentum so that from this reason the combined or b it an d mass of the motive parts by the simple action O f gravitation produce a globular — system in the nebulous state , such a system would form a ingle isolated sta r moving or station ary in space 6 2 O n the other hand if the special neb u lar system con s ide r e d is in rotation or in cyclonic m otion derived from this , matter wo u ld approach the centre with much greater facility in every direction other than in a plane extended from its eq uator, where the tangential i m pulse of surrounding matter would produce the greatest resistance to the centra lizing action of gravitation S O that in this case a star might be c , . , . , . , . . S T ELLAR AND S O LAR CO ND EN S ATI O N 53 . formed O f all surrounding matter except that abo u t the plane O f its equator This system at a c ertain stage of condensa tion wo u ld therefore appe a r if vie w ed from a distance in a dire ction nearly nor m al to its poles as a planeta ry neb u la surro u nded equatori a lly by more a tten u ated matter S uch a neb ul a wo u ld be in o utline O f oblate Spheroidal form if the equ atorial neb ular matter were evenly distributed abo u t the equ atorial plane (P late II a G reat N ebul a in A ndromeda b Messier 3 2 ; c Itl I 2 0 0 ; d M 6 3 The spheroid a l form O f s u ch a nebulous condensation might be m odified to any extent by unequal distrib u tion of the neb u la abo u t i ts focus i nto a spira l lentic ular or disc oidal shape its parts being still held with equal perman ence by their tangential impulses E ith e r of the above des cribed systems if in equilibri um abo u t its centre with i ts peripheral parts movi n g with su fficient tangential velocity to maintain an orbital position would be ready to separate its peripheral m atter into ring zones or other separate motive systems upon fu rther central c ondensation , and become finally in a state to form a solar system s u ch as our o w n with plane t s of greater or smaller mass in ter a lia moving in orbits about its c entre the con ditions for the formation O f which will be considered presently — l 6 4 L imits of a S o a r p la n eta ry cometa ry S y s te m We ass u me that after separation O f any complete pneuma or neb u lar system from the universal pneu m a th e initial action O f gravity within this sep arate system would i m mediately commence to form a central condensation of greater density as befor e proposed which wo u ld react upon s urrou n ding matter in proportion to its mass and inversely to the sq u are O f its distance from any part O f the s u rro u ndi ng widely distributed matter S u ppose an ori ginal system of pneuma in the remote past ’ taking one direction only e xtendi ng from S to S fig 6 , and that tw o equal centres O f condensation S and S , were after . , , . . . . , , , , . . , , , . , , - , . - . - . , , , . , , ' , . N O T E S O N T HE NEB U LA R THE O R Y 54 . long periods slowly formed as star syste ms upon principles just discussed The neutral position at whi ch a particle or mass would be originally equally solicited by the gravitati on O f both systems would be at X This would be a point o f early condensation from open ra diation and at the same time . . , © a a ’ a “ c c " c one O f perfect equilibrium in space F rom the equal attra e ’ tion O f S and S u pon the condensed particle , a particle o r mass at 0 would be very Slightly influenced to move towards S a part icle at c more influenced and at 0 still more so Thus, assuming gravity u niversal , this would give attractions to matter to fall towards the centre S from points of rest i ntermediate between S and S with velocities inversely proportional to the squares of the distances O f S and S respectively active U pon it 6 5 L ike attractions would also hold with respect to the ’ star system S as reg ards particles at th e relative distances Therefore all matter from S to X, whi ch we may b b, take as the original radius O f o u r o w n solar pneuma syste m, would u ltimately form a part of the gravitation system O f S with predominant influence over S and all matter from S to X would ultimately form a part O f the gravitation syste m Therefore it would O f S w ith predominant influence over S be impossible that any body placed between X and S sho u ld be attracted towards S , or in fact that S Should form the foc u s O f any orbit of greater aphelion distance than X in this direction It is further seen upon this hypothesis that cometary or other matter co uld only move within its orbit at the fu rthest fro m the position X in relation to another star S If matter does not fall from the positions 0 , c 6 directly upon or towards S , there must be a tangential imp u lse upon . " . ’ . , , ’ . . ’ , ' ’ , ’ . ' . ' . ' " , N O T ES O N T HE NEB U LA R TH E O RY 56 . With respect to our sol r pla netary sy s temflre garded as a ro t ating condensation under the conditions stated above , w e may consider the central nebul a formed by pne u ma condensation at a point when its extent ’ N N fi g 7 which m ay be a space in Neptune shown centrally transverse to its plane Then , if we n ow limit the extent O f directly condensing gaseous s un ’ forming matter to N N , the exterior matter represented by " ’ C C 0 being s u bj ect to gre ate r r adiation O f ini tial h eat and 67 ow n . , . a - , ' . , . receiving less heat from the conden s ing sun these bodies or parts 0 C , 0 might condense upon them selves and draw matter together as before s u ggested and form separate masse s m eteorites or if moving in nearly contiguo u s parts in ( ) revol u tion upon a centre O f inertia form more extensive m aterial systems , fl occu li or comets , t h e probability O f which will be discussed hereafter If the central neb u lous system O f N N were conservative O f initial he a t in a certain degree as here proposed for a time the free separate particle or mass 0 attracted to the ’ central nebula might in ti m e enter the n eb u la N N a n d b e absorbed therein If it did so , it w o u ld b e co me heated by the friction caused by the resistance it wo u ld encounter s u ffi a s and afterwards for it to become again expanded to cie n tl y g form a part of the central n ebulous system increasing its density thereby T his wo u ld not occur ho w ever , without producing a further condensation about the position of entry , ' , , , , , , . ’ , , , . , . , S T ELLAR AND S O LAR CO NDENSATI O N 57 . of the mass and O f motion within it , le ading to irregularity If the included m a ss O f constit u tion of the nebular syste m projected into the nebu la were sufficiently gre at it might beco m e an ind u cing fa ctor O f centralizing pl aneta ry or satellite a ggregation or bring about a disturbance of motive directions O f the m a tter within th e system 6 8 If w e ta ke the condition O f matter falling from a ’ position 0 further from the centre than th a t considered above the gravita tion u pon this point being less active a n d ’ the infl u ence O f the gravi ta tion towards S more active this m ight not attain a movement in space s u ffi c ie nt to rea ch the centra l system until the latter had contr a cte d in vol u me to a radi u s represented by m m which we may take for demon s trati on as the cross section of the s u n s nebula when this extended to the orbit O f Merc u ry In this case if the eccentricity of the orbit O f the matter 0 ca u sed its perihelion ’ distance to come withi n m m , the mass 0 wo u ld by friction arising from resistance be retai ned in the neb ula and in c rease its density or it would move in spiral lines towards the s u n centre with velocity in proportion to its momentum and gravity to this foc u s into the resistance of the surrounding matter If its perihelion distance were greater than the radius m S O as not to come u nder the s u n s attraction su fii cie ntly to be defle cted from an elliptical orbit the body would then move in this orbit constantly for all time and become a permanent planet or comet or meteorite of the system It is seen in t his that it is only matter endowed with a considerable tangent ial moment u m from any ca u se that can form a permanent planet , co met or meteorite of our sys tem and that the greater mass of con densing matter around the s u n at an early period partic u larly that which w a s formed outsi de the mean planetary orbit pl a ne would in all proba b ility fall directly or indirectly into the sun s neb u la a nd become a factor of s u n formation 6 9 If we consider as an extre me case the condition O f . , . . , , ' , ’ , . ’ ’ , , , . ’ , , . , , , , , ’ , - . . 58 NOTES ON T HE N E B U LA R TH E O R Y . ” another mass 0 still more distant from the sun , we may conclude that the small movement ind u ced by gravitation , depending upon the differe n ce O f the separate attractions O f ’ S and S (fig at this distance wo u ld not permit it to reach perihelion u ntil the time when the s u n had attai ne d its present relatively small volume In this case , supposi n g it possessed any tangential m omentum the probability of its falling into the immediate solar nebula would be relatively very small S uch a body wo u ld therefore move in an elliptical orbit and bec ome a permanent comet or meteoroid O f o u r system A condensed mass at a still greater dista nce ’ from the s u n and nearer S would n ot in the past time have reached o u r sun S O that it may o n ly at a very remote period become wh at we S hould recogniz e as a comet if of s u fficient outward vol ume 7 0 In the above constructi on , in considering exterior matter to be separately condensed and to re a ch the solar focus in time proportional to its distance , this distant exterior matter wo u ld be little a ffected by the gravitation figu r e of the central spheroidal nebulo u s system ass u med to ca u se its orbit to be drawn toward the neb u lar plane u nder conditions origin ally s u ggested by Kant Therefore the exterior con d e n sati on s O f a pne u ma system would be projected at an angle to this plane with the reservation that the tangential momentum wo u ld be less proportionally to the increase of angle to this plane , if the original pne u ma were ever in u niform rotation , S O that the orbits of comets approaching the sun at angles considerably inclined to the mean solar planetary plane sho uld be more eccentric than those at smaller inclination to this plane , S O far as the above stated conditions hold 7 1 D ir ection of app r oa ch to the S u n of m a tter fr om the — l N e b u la F a n e ta r or ma tion o ex ter ior o the or i in a l S o la r y ] f g p — L et A and B , fi g 8 be two stars , or suns , O at the O r bits intersection O f the lines A B d d be the point O f equ ilibrium . . , . . , , , . . - . , . . - . . , ’ , F O R M ATI O N O F O RB IT S 59 . between these suns where 0 wo u ld rest in static equ ilibri u m , the gravitation O f A and B being equ al u pon it P lace any number of particles in line at right angles to A B from d ’ to d Then gravitation acting upon any O f these points , . . considered as free bodies would ca u se them to fall to O and beyond it if the impulse w as suffi cient S O that they wo u ld oscilla te abo u t 0 constantly in the mean gravitative tangential plane of A and B 7 2 If we make A a s u perior attraction over B either from nearness or excess O f m ass , t hen matter attracted from 0 would fall in direc t lin e towards A A ny other matter in ’ one of the positions a b c a b c , although it wo u ld receive less attraction to B than to A wo u ld move in angu lar direction towards A in composition wit h the pull of B upon it Therefore the composition O f forces A and B would induce a de fi nite amount of tangenti a l motion upon all the ’ poin ts a , l) , c a b 0 moving towards A A s the O bjects represente d by points appro a ched A in moving in their orbits , the influence of B would diminish in gravita tion proporti on A becoming entirely do m inant when the m a tter of any of the points approached the perihelion of the orbit whose eccentricity was induced by the tangential element B acting upon it a b a b c c , , , , , , ’ ' ’ , , , . . , . ’ ' , , , , , , . ’ , , . ’ , . N OT ES O N T H E NEB U LAR T HE O RY 73 . It is also seen by the above diagram that if the masses are distrib u ted at equ al dista nces u pon the tangent d d ’ there will be many s u ch masses a b , c, a b , c infl u enced by the attractions O f B in falling towards A whereas I n the direct line O there will be no tangenti a l influence from B Therefore the general paths O f bodies falling from space from surro u nding attraction under a s u perior attraction will possess ele ments O f tangential motion in reference to their predominant attra ctions which will induce them to follow elli p t ical orbits and the case O f a body falling directly from distant sp a ce u pon th e sun or a star will be exceptional The principle here Shown by diagra m applied to tw o stars or s u ns will apply equ ally to any number taken in separate pairs distrib u ted as they may be in space 7 4 A s regar ds t h e d irection of the orbit of any free body p a ssing under the infl u ence O f the sun s attraction , it will be s een that the amount O f t angential motion induced by B upon d acting in the direction S hown by the arrow e will a ppr o x i m a tely direct the p ath O f the body in the line p p in its orbit in a left to right direction at perihelion ro u nd the sun a n d b a ck to its first position In the same manner a body proje cted to A from d with the tangential comp onent induced by B in the di rection O f the arrow e will follo w the path p p in a left to right direction in the plane O f its orbit 7 5 If w e regard any initial motion O f the circ u mscribed ” syste m abo u t o u r sun in t he direction O f the arrow e as an original neb u lar condition then we may assume that th e influence of B u pon matter projected towards A is neutrali zed at some point say 6 so that I) will fall more directly towards the s u n A than O , and the scale O f distance for projection from this point 6 for the other points d c a a will be equal to that previously defined for the point O as regards tangential action in inducing direction O f revol u tion In this cas e the whole syste m O f separate attra ctions as motive forces may be assumed to be displaced by this initial direction of motion . ' . ' , ' , , , . , , , , . . ’ ' ' ' ’ , . , , . . , , , ’ , , , . , F O R M ATI O N O F O RRIT S 61 . be that O f the initial ta ngential motion O f the Whole system but not of every element of it 7 6 The above sche m e fig 8 whi ch is assumed to be that of the form O f gravitation ac tio n between o u r sun and every near star , may be plac ed at any a ngle or direction to the polar axi s O f the s u n where the Star appears If m atter in the positions a , b c d a b , c , d shown by the dia gram , were proj ected at an early period ne a r the m e a n pl a netary plane , the exterior body wo u ld fall into the planetary neb u l a combine with it and enter into c om position w ith its m otion This m u s t have been the condition of so m e O f the e a rly comets assumed to be fl o cc uli con densed within the s u perior in flii e n ce of the sun s neb u la ; and as t hese c ondensations m u st have formed in all directions with regard to the s u n the comets left at the present ti m e in our sys tem m u st be m u ch fe w er or more particularly of much less m a ss in the mean direction O f the sun s equ ator and the pl anetary p lane than in the direction O f the sol a r poles Thi s condition is not however absol ute for all points as a ne ar sta r in the direction O f the solar pole or any other direction would as a gravitation centre cause much less m atter to fa ll directly towards o u r sun than th a t which would fall in the direc tion This O f a more distant star or from an intermedi a te space s ubject will be t aken into c onsideration fu rther on 7 7 In the construction shown in the d iagra m fig 8 it must be clearly observed tha t u nless the entire syste m is in motion in relation to a gravita tion centre , a s Shown by the " arrow e the s u m of the deflections of the points a b , c ’ b c towards the pl a ne AB would be eq u al ; so th a t no a rotation wo u ld be imp a rted to the s u n A or a planeta ry system conne cted therewith by the m o m entu m of the u nited masses O f this matter if it w a s impressed upon t he sun s neb u la at any period This does not appear to be cle a r to some a u thors w h o have considered the subject without an d the preponderance O f direction will , . . . , , . ' , , , ’ , ' ' , , . , , ’ , ’ , . , , , . . . , , , , , ' ’ , . , ’ . N O T ES O N T HE NEB U LAR TH E O RY 62 . proposing clear definitions which it is hoped the diagra m may supply Kant s u ggested that the s u m of collisions from exterior matter attracted from all directions towards the sun from space wo u ld direct his revolution and that O f the planets in one direction as a res u ltant H erbert S pencer adopts this view M Faye shows that the mean m omentum of all 78 surrounding bodies drawn in direct lin e by gravitation would not i m part an y revolution whatever to a central system This is herein demonstrated so that although all comets may be chns ide re d as extre m e condensations that take one or the other direction O f revol u tion in long elliptical orbits upon the principles discu ssed above , y et if they were retained within a nebula s u rrounding the s u n at perihelion unless the neb ula possessed original rotation the mean motion produ ced upon the rotation O f this central nebula would be approximately Taken in another form exclu di ng original rotation we n il might conclude that the probability is that the mean moment u m O f all th e comets of our system is approximately n i l there being possibly as many or more exactly as much exterior m atter moving from space in one direction as in the other Under the 7 9 T he For ma tion of a P la neta ry P la ne above stated condition during the time that the sun remained an extensive neb ula any exterior body entering this nebula at high velocity must have become dissociated and incor o rate d therewith by th e heat engendered in the nebulous p m atter through friction its initi a l momentum being com pounded with that O f the n eb u la into which it w a s proj ected as before stated Therefore all exterior proj ections into the s u n s neb ula will be dra w n towards a line passing directly from one sun to a nother predominant sun as the linear direction of greatest attraction and upon this principle the , , . . . . , , , , , . , , , , , . . . - , , , , . ’ , N e bu l ar Hyp ot h e si s 1 ‘ g ” , i S ur 1 O ri i ne du M ond e , 1 8 8 5 , p 1 3 4 ’ r R evi ew 18 58 T h e W e stm nste ’ . . , . N O TE S O N T HE NEB U LAR TH E O RY 64 . before stated drift in Spiral lines towards the centre or this resistance might be partial , S O that it might rest in orbital equ ilibrium in a certa in internal position and beco m e a part O f the permanent neb u la or planet movi n g henceforth in a nearly circ ular orbit If its perihelion of proj ection glanced upon the o u ter surface of the solar nebula , entering it only s u fficiently to be deflected from the resistance the proj ected body m ight remain nearly in contact This must however be a s pecial case The near comets may have been the res u lt of such glancing conditions The planet P alla s may have been formed under simila r conditions from a co m et that glanced u pon the limit of the solar neb u la su fficiently deep to be resisted at its head until its tail co ming for w ard in the same dire c tion condensed abo u t the head a n d formed a neb u lo u s planet to be henceforth proj ected in an elliptic orbit O f sm all e cc en tricitv The neb u lo u s planet would condense to its present state by radiation and a fterwards initial gravity 8 1 In the formation of our solar planetary system the fact Should never be lost sight of that the entire planetary system is of relatively small mass in comparison with the part , c entral solar system , being probably not over incl u ding all planetary, cometary and meteoric matter Therefore the p a rts of the solar p lanetary system which attained orbital velocity during the neb u lar condensation at a distance from central solar neb u la as a res u ltant of origin a l rotation acceleration thro u gh centralization by gravity and by the perihelion retention O f exterior matter here proposed , m u st altogether be taken to form but a small p art of the mass of the e n tire system In the further discussion O f the forma tion of the planets this conception O f the subject w ill alway s be inferred , . , . , , . . , , . . - . , , . - , , , . . [ ] 65 C HA P TE R V . DI S C U SS I O N O F T HE M E C HANI C AL P R IN C IPLES U P O N WHI C H OU R S O LAR P LANE TARY S YS T E M M AY H A V E B EE N F O R M ED — S U GGES T ED D E M O NS T RA TI O NS O F T HE T H E O RY O F L APLA C E WITH S O M E M O D I FI C ATI O N S — L IMIT S O F A C O M E TARY S YS T E M - . , . m — It at may be held th f L ord Kelvin has Shown de m onstratively that the energy of the solar system co u ld not, even if it were prod u c ed by a discrete condensation O f cosmi c matter have been maintaine d by this form O f condens ation t hrougho u t the narrowest possible limit of past geological time 9 ) Therefore we have no theory he r etofore o ffered of a condensation system b y gra vity to represent the forma t i on O f our solar pl a netary system with a n y reasonable prob ability other than that of L aplace and H elmholtz Nevertheless it is not proba ble that our syste m w a s formed b y any simple single me chanical effect O f the action of forces upon surro unding u niversal m atter as generally assumed in special theories b u t rather that all possible conditions were active that may have con Spired to produce the final res u lts S ome of these conditions ll be n ow s u ggested and discu ssed — mm l l n r t m f S s e I w sup e tr y o ou r S o a r P a eta e 8 3 A sy y y f pose O u r original neb u la thro u gho u t its entire vol u m e to have been in a u niformly p u rely gaseo u s State and of symmetrical 82 . E ne rgy o S the ola r Sy s te . , - . , , . . - . . T rans R S E di nb urgh , v ol xxi p 6 6 . . . . . . . N O T ES O N T HE N E B U LA R TH E O RY 66 . for inst ance that O f a Spheroid in revolution — w e should then no do ubt if the entire s v ste m remained gaseous until all the planets were consecutively con densed at the exterior limit O f its n eb u lar equator according to the theory of L aplace expect to find the pl anets in symmetrical order of dis tance and O f mass In this case with proportional time condensation under the increasing amount O f tangentia l impulse due to centralized condensation into gravitation which prod u ces the law O f orbit the distances O f the planets from the sun and thei r separate masses would be sy mme t ri cally proportional , in accordance with the p u ll of gra vitation and the tangential moment um of the amo u nt O f the con d e n se d matter 8 4 That our solar system does not possess the above described symmetry is evident from its formation We have between Jupiter and the earth particularly planets in mass no way proportional or symmetrical with a n d density in The planets exterior and interior to the asteroids o thers taken by themselves alone have so m e points O f resemblance in density and in ma gnitude The exterior planets fairly resemble one another i n n u mber O f satellites assuming that N eptune m ay have several m ore than the one visible through our telescopes so that so far as these conditions go we might roughly divide the system of planets into tw o classes W e might also possibly make a much more important division in a formative sense by separating them according to the direction O f rotation by which the o u ter planets Uranus and N eptune would form a c lass by themselves N otwithstanding all these minor classi fi ed rese m blances there evidently remai ns beyond this a general want O f sym m etry in the entire solar planetary system Therefore if w e concei v e an original uniform gaseous or a generally symmetrical system for our primitive ne b u la placed under the condition of uniform condensation according t o the theory O f L aplace we must concl u de that this system has experienced material modi — form , as , , , , , , . , , , , . . . , , . , , . , . , , . , - . , , , D I S C U SS I O N O F M E C H ANI CAL P R IN C IP LES . 67 . during the period O f condensation to form our This will be n ow considered by taking at l a n e tar v system p first a s groundwork the e ffe cts of the condensation O f a purely sy m metri ca l nebula and afterwards suggesting what m odifi cations there m ay have been in some p arts of the system — We 8 5 A S y mmetr ica l G a s eou s S ola r P la n eta ry S y s tem may ta ke o u r solar sys t em in its nebular state at a certain period to be of the si m plest construction sho w n diagramm ati cally by fig 9 which is intended to represent a very obl ate We S pheroid in revolution upon its symmetrical a xis a a fi catiOn s . , . - . . , ’ . , may assume that the whole Spheroidal sur face of the nebula wo u ld be radiating hea t equally per unit of area into S pace The volume of nebula in a gaseous state would therefore be limited at any ti m e by the quantity of matter that could be maintained in this s tate by the initial heat O f the primitive gaseous system together with the a mount of heat given out from the centre W here there wo u ld be a sun forming con densation 8 6 In the above stated case the i mportant heat m aintaining centre or incipient sun would react through its condensation as a hea t r adiator to the s u rrounding nebula and disperse its heat d u e to condensation in proportion inversely to the square of the distance from the incipient sun surfa ce The h eat radiants bein g t herefore equ al at equ al distances fro m this sun , would tend to maintain a circumscribed glob e O f neb u l a . , , - , . - . - - , - . F 2 N O T E S O N T HE N EB U LAR T H E O R Y 68 . in a gaseous state if its exterior temperature w a s falling We may assume that this inscribed imaginary hotter globe , fu l filling the condition of equ al ra diants would be S O large that its surface could just be inscribed in the oblate neb u lous spheroid which w e n o w take for our complete nebula , as Sho w n by the inner circle of the figure It is readily seen that matter placed outside the theoretical globe suggested above wo u ld be more rapidly lowering its temperatu re by radiation from its greater extent O f s u rface in proportion to its depth of vo lume than the matter of the inscribed globe At the sa m e time this external matter would be receiving less heat from the sun forming centre The peripheral matter in the general revolution of the system would also possess its highest tangentia l velocity in the e q uatori al plane The whole O f these conditions upo n loss o f heat of the system by contraction through ra diation , would cause a stress at a certain nearly cylindrical plane parallel to the axis of rotation wherein internal or s u n forming matter wo uld , by contin u ous cohesion or gravitation in the gaseous state , be drawing away from the peripheral z o ne , which w a s moving at higher tangenti a l v elocity This zone by conti nuity o f r adiation O f its own heat a fter its detachment, wo uld be indu ced to contract by condensation u pon itself 8 7 In this manner if we assume periphe ral matter to be proportio n ally distributed about the axis O f revol u tion of a spheroi dal neb u la the stress p lane would be that O f the separation of the peripheral matter , which might then form a deta ched zone or ring upon the theoretical conditions given by L apl a ce The extent or distance of the ring from the sun wo uld d epend upon the extent O f the globe O f centre tending condens ation maintained by the central heat at the time That is, really upon the co ntraction at the sur face O f such a globe as herein imagine d, by loss of its heat through radiation , . , . , , . - . . , - , , . , . , . , - . - . . D I S C U SS I O N O F M E C HAN I CAL P R IN C IP LES 69 . In the separated ring or planet zone as here s u ggested w e pres u me a perfectly equal distri b ution O f matter about the equatorial regions of the oblate spheroidal neb u la b u t as we take the conditions O f radiants from the sun centre th e same prin c iples would a pproxi mately hold if the ring were more or le s s in c omplete or denser in any part The accident of a per feet ring or system O f rings which o ccurs around S at u rn may be conceived possibly to be a u nique pheno m enon of the n early equa l distri b ution of cosmi c m atter ab O iIt a gravitation centre 8 8 The principles here dis c ussed are a possible explanation of those given by L a pl a ce under which the neb u la for ming the exterior planets wo u ld be consecutively abandoned Whether there may h ave been so m e modific ations O f this during the condensation of our own planeta ry system will be discussed hereafter , but to follo w our theme , we will take a uniformly distributed nebular system in revolu tion as being of Spheroidal form in which case the nebula might con tin u ou sly go through the same set of ch a nge s as consecutive z ones or planeta ry systems W e r e d etached fro m the c entral sun syste m Thu s ass u me (fig 9 ) a b a b to rep resent diagra mm atically the nebulous spheroid in se ction with axis T he s u n forming c entral and equ atorial pl a ne 6 b a a matter under condensation at a certa in period mainta ining equal heat radiants wo ul d circumscribe S The zone of plane t forming matter supposed to be m oving at orbital velocity upon condensation O f the sun to a certain extent would have its ann u lar centre O f gra vitation circ u mscribed abo u t p p The lateral exterior matter a , a , a , x upon condensation wo u ld fall upon the sun or the planetary zone in gravitation equation 8 9 It will be seen that the zo ne ring p p , altho u gh de tach e d , would still for a long time maintain its condensing c ondition so that the central axis of the sec tion O f t he r i ng might by condensation of surrounding matter become in time incandescent , o r hot ter than the neb ulous S un Therefore , - , , - , . - . . , . , ’ - . , . ’ ’ ’ - , - , . - , ’ ’ ' . ' , - . ' - . , . N O T ES O N TH E NEB U LAR TH E O R Y 70 . the sun in the interior of the equatorial orbit plane O f this ’ zone I) 6 w o u ld through heat exchanges , not s uffer mu ch loss o f heat , whereas at the same time it wo u ld be radiating heat freely abo u t its polar sur face a a constantly in t o S p a ce to cause the sun s contraction in this polar direction Further afte r separation of a ring during general contraction O f the n ow separated central neb u la its equatorial parts wo u ld keep up its extension in this direction by ta n gential momentu m and form a closed system by the attra c tion O f matter towards the axis O f the ring wh ich as before stated would become heated in proportion to the activity of its condensation 9 0 Under the conditions proposed above heat could be freely r adiated from the polar regions into Space to cause the con t raction O f the nebular sun in this dire ction ; b u t this could not occur about the eq u atorial regions where heat exchanges with the condensing zone wo uld prevent free radiation into space The di fference O f local contra c tion areas upon the surface O f the solar nebula , in conjunction with the tangential momentum of its peripheral parts would cause it to retur n to its oblate spheroidal form but O f smaller volu me The spheroidal form would also infl u ence gravi tating matter t o fall tow ards the plane of the s olar equator, as suggested originally by Kant and shown more definitely by N ewcomb for attraction toward an oblate spheroid A ll these conditions Show that after separ ation O f a zone ring th e system would again become oblate and in a condition to separate another planet zone t herefrom about its equator upon the same principles 9 1 It will be seen that the surfaces of the sun and the planet zone that would conserve their heat therefore thei r nebular condition would be those parts directly opposite to each other Whereas the outer periphery o f the d eta ched z one ring would be freely radiating i t s heat into open space - - , ’ ’ . , , , , , , . , . , . , . , - . - . . - , , . - , P op ul ar A s tronomy, p 5 13 9" ‘ ’ . . N O T E S O N T H E NEB U LAR TH E O RY 72 . as to produce exterior local condensation wi thin the boun Under these conditions the contin u ity d a rie s of the neb u la O f the former neb u l a r state would be wholly or partially changed S O th at the planetary zone system O f J u piter and its superior planets m ight somewh at resemble the condensation O f o u r s u n but the inner planet a ry system might be wholly or partia lly formed from a condensation which took the pri mitive for m O f discrete or meteori c matter This would partially a cco u nt for differences O f density of rotation and so m e other conditions w hi ch will be more fu lly considered hereafter u pon discussion O f certain exterior conditions 9 3 M od e of Con den s a tion of the E x tr eme O u ter S ola r N ebu la —In this w e m ay possib ly again fi nd a modifica tion or want O f c ontinuity of nebular conditions in relation to the pl a nets Uranus and Nept u ne which may be inferred from the direction of revol ution of their satellites , under con di tions already stated In the case of these planets from the want of concentrative force in the original nebula through weakness of effective gravitation due to dista nce there wo u ld be a There w eaker centering tendency of the peripheral matter wo u ld also be less heat radiated inversely proportional to the distance of the central heat focus of the condensing s u n The tangential i mpulse being ass u m ed su fficient to maintain the orbit O f a zone ring local condensations might in this case occur at fi rst to discrete matter , and the nebular system wo u ld thereby largely disappear We may assume a gaseous system so extensive that the radiation capable O f producing condensation would act s u per fi cially upon matter within a limi ted depth only O f the neb u la ; S O that gravitation would possess ins u ffi c ient energy to draw this matter , i f possessed O f less than orbital tangential momentu m in a gaseous state than that which would maintain it at its radial orbit , through the resista nce O f the interior neb u la from the boundaries of a system S O vast as that of Uran u s or Neptune under certain conditions suggested 1 3 ) and ot h ers to be discussed Thi s . - . , . , , I . ‘ . . , , . , - . - . - , . , . D I S CU SS IO N O F M E C H AN I C AL P R I N CIP LES 73 . would produce a reverse direction of rotation as will be shown hereafter — m s s t e The 9 4 T he B r ea king up of G a seou s Z o ne S y perfect state O f equilibri u m O f neb u lar matter necessary for the complete formation o f a planet ring or zone ( fig 9 if su ch ever existed except among satellites could scarcely re ma in for a long time as a slight dist u rbing c ause at any position throughout the extensi ve orbit would destroy this e q uilibri u m in s u c h a manner as to permit the gravitation O f its o w n mass to draw its parts together into the only for m O f static equilibrium that could be established , that is a globe Fu rther as before stated in early planeta ry Stages the intru sion into the solar nebula O f exterior matter possessed of s u fficient ecc entricity to bring it at perihelion within the planet ring orbit, would cause its in cl u sion within thi s ring owing to the resistance O f the neb u la r m atter O f the ring itself to the continuity O f its proj ection In thi s manner all comets exterior to the system , or meteorites of great e ccen t ricity wo u ld be abso r bed if brought in orbit contact with the planet ring A nd although w e may assume that the mass O f a comet or O f a shower of meteorites proj ected in a cometary orbit might not materially disturb the mean orbit of the ring system it might u pon its intr u sion possess qu ite s u fficient momentum to destroy the equilibri u m O f a perfect ring , if su ch existed This would not only be caused by its mass but also by the local heat eng e nde r ed , and the elastic expansion it wo uld cause near the pla c e O f intru sion , together with the local drifting force d u e to differ ence O f velocity and inclination O f orbit between the orbits of the planet ring and the intr uded cometic o r meteoric matter There is no d oubt that if a planet ring were perfectly symmetrical the inner a t traction O f its parts in a ga seous state might , under contractio n t h rough radiation from its o w n c ondensing mat t er, r educe its section until it might , . - - . . - . , , , , , , , - . - , - . - , . , - . - . N O TE S O N T H E NEB U LA R TH E O RY 74 . form even a liquid ring or rings ; and this or these might again be detached into beaded strings O f satellites a condition w hich possibly hol ds in th e case O f S aturn s rings A r ing of perfect sym m etrical condensation might finally part in one place only and form a Single satellite by its matter being drawn together by gravitation This w a s possibly the case with our own moon , as will be discussed later on ; but s u ch perfect equilibri u m O f distribution of matter surrounding a gravitation centre could scarcely hold to the extent O f a planetary orbit about the s u n, and the zonal abandonment principle of L aplace is maintained if the zone is even impe r feet in its circu m ference 9 5 I nfl u en cing Con d ition i n P er iod s of P la net fo r ma tion — r i t i l m C N oting the irregularity of the masses ca T e er a tu r es p O f the planets , which cannot be acco u nted for by proportional condensations in time t here were no doubt present special ind u cing causes active for the time only , by which we may assume a greater or smaller nebulo u s zone system w as detached at any par ticular period from the central solar system O ne O f these causes was most probably the e ffect produced at certain times by the rapid condensation O f nebulous matter to a liquid state at its critical temperature , within parts of the solar neb ul a, the mass of which we assume to be movi ng at less than orbital velocity at its periphery S uch condensed matter wo u ld in the outer parts of the system , be immediately precipitated nearer towards the sun This might not , as an early condition , be wholly possible with dissociated matter that would only condense to a gas , which m ight s u ffer resistance from the elasticity of the highly heated interior It might have occurred after the formation of the larger planets u pon the uniform cooling O f the entire system If the temperature of the nebula was parti ally reduced at any period S O as to cause it to pass from a g a seous to a vapourous state at any radius within the sola r nebula , it is certain th at the denser or metallic matter so , ’ . , . . - . . . , - . . , . , . . D I S C U SS IO N O F M E C H AN I CAL P R IN CI PLES ‘ 75 . reduced to vapour would condense s u ddenly at its criti cal point , by a very slight fu rther depression O f temperat u re to the liqu id for m The general equable state O f te mperature o f the nebula might permit for instance certain metals in the vapouro u s state to occupy large volumes and to condense afterwards with a very slight depression O f te m perat u re at the critica l point causing a sud den interior c olla pse a n d thereby the sepa ration O f a vol u me O f peri phera l matter which would afterwards m a intain an orbit position consistent with its initial tangential i mp ulse These condensations m ight be at any distance fro m the sun within the nearly transparent neb u la, according to the density and vapour temperature of the special element th at was condensed The amount of neb u lar matter whether very vol u m inous or not separate d by the tension of a n internal condensation and moving at abo u t orbital rate at any time wo u ld after detach ment m aintain its free orbital position 9 6 The interior O f the zone ring O f detached matter wo u ld be the stress plane of the exte rior part of the critica l c onde n sation W hether the matter condensed at its critical point remained as vapouro u s cloud in its precipitation towards or abo u t the s u n afterwards wo u ld d epend u pon the reaction O f the heat O f its condensation , radiate d from the central system or sun at the time 9 7 Upon the above stated conditions , as far as they go , it is seen that the condensation O f matter at th e criti c al point woul d prod u ce a permanent strain within the nebul a so that seeing the natu re O f chemical ele m ents and their very varied critical te mperatures , the separation O f planet rings from the central solar system is not necessarily a uniform process depending u pon a continuo u s condensation as proposed b y L aplace B y conden s ation O f interior matte r at its critical point O f te mperature a planet forming zone or system m ay, u pon this hypothesis , be separated from the sun at a certain time and for a long period after this s eparation the sun may , . , , , , , . . , , . - . - . . - ' , - . - , , N O T ES O N TH E NEB U LA R TH E O RY 76 . slowly condense nebulo u s m atte r u pon itself onl y until again u nder certa in conditi ons O f critic a l temperatur e O f the materials O f the neb ula another planet zone or system may be detached T h erefore owing to the great di fferences in the critical temper a tures O f kno w n matter , the zone or volu m e O f detached matter m ay be of relatively large or small mass and the pl a net form ed therefrom will be consistent with this so far as the principle in question is active 9 8 It will be O bse r ved that the condensation O f any refractory met al from its vapouro u s state within the nebul a would affect this partic ular met al o nly and the vapours O f other less refractory matter would remai n in a neb u lous State Therefore in any rotary neb u lar condensation , the denser more refractory matter, moving at equal angular velocity with the periphera l m atter moving at nearly orbital velocity must al w ays drift to an i nner position in spiral lines being accelerated by gravit a tion als o thereto If the condensation remaine d it wo u ld come to rest only as regards centralization when it attained an orbital position Under these conditions internal planets must be formed of denser , more refractory matter th a n external ones A particular case O f critical condensation would be one in which oxygen a nd hydr ogen in a mixed s tate , below the temperat u re at which they must remain in c ontact perm anent gases were u nited i nto vapour This condensation might be ca u sed by a discharge O f electricity, from an incidental chemical combination O f prevale nt elements within the nebular system 9 9 The conde nsatio n to cloud , metallic or oth er at the critical temperature O f any ann u lus O f n ebula at a distance from the sun less than the radius of the conde nsing peripheral zone wo u ld O bsc u re the exterior matter fro m radiation O f the m ore highly heated central system as the central heat and light w ould be reflected back fro m the condensed particles This would cause the more rapid condensation of the detached , - , , . , . . , . , , , , , . , . . . , . , . , . D I S CU SS I O N O F M E CH AN I CAL P R IN CIP LE S 77 . zone whose ta ngential momentu m would prevent its c onde n sation upon the s u n This clo u ding e ffect wo u ld be repro d u ce d at a ny following critical condensation of the matter O f the su n system and wo u ld again tend to c ondense a detached planet zone or system ; b u t it is not proposed that s u ch a form of c ondensation is alone active in o u r planetary system O ther conditions have bee n already s u ggested , and will be further considered 1 0 0 It m ay be noted under the conditions given above that a period when an element was under c ondensation at its criti cal point abo u t the sun wo u ld be a period when his radiation would be materially O bstru cted Therefore when an o ute r planet would receive mu ch less o f his heat S u ch a period which may in some cases have lasted many thous ands O f years for the complete con densation of a single element may in recent geological time have produced a glacial period u pon a wide extent of the earth under c ertain conditions of distribution O f la nd a reas and direction O f oceanic currents which I h a ve previo u sly considered for geologically recent glacial epochs — i n In the constr u ction given i n n d i t o s o 1 0 1 M od ify g C 7 6 ) we ass u med that an entire neb u lar ring , extending possibly within 1 0 from the sun on eac h side O f the pl a ne o f the earth s orbit, was condensed to form the planet This however , we may presume was not the case Very probably , as before suggested the pl anet for ming ring was never perfect , or if perfect it is improbable that it sho uld have condensed entirely at once into a single planet P ossibly condensations to meteorites form a common fa ctor w hen the neb ular system sinks below a certain critica l temperature Therefore the earth s neb u lar ring migh t split u p into a Single planet and s a tellite u pon one side O f its orbit and be distributed in meteorite s u pon the other Side If these , . , - . . . . . , , , , . . ° ’ . , . - , . . ’ , . Bri ti sh A s soci ati on R ep ort s, 18 8 5, p 102 0 . N OT ES O N T HE NEB U LAR T H E O R Y 78 . meteorites were O f sli ghtl y d i fferent orbit period fro m the earth they wo uld finally unite with it at conjunction but if of the same period they would maintain their vis viva and not be detected by any calc u lation in the variation of the earth s mean course or by telescopic O bservation That is assuming such meteorites to resemble those that fall u pon the earth which may h ave fallen from outer planet rings and whi ch are generally O f masses not exceeding a fe w h u ndred pounds 1 0 2 The greatest Condensation to form a planet w o ul d not in a uniform density ring be at an intermediate position between an inner and outer planet as may be inferred from the diagram fig 9 The gaseo u s state wo u ld be best main tain e d towards the interior O f the ring by heat exchanged with the neb u lo us sun The con densation wo u ld therefore be on the o u ter surfa ce of the ring at the gre atest distance from the sun where heat could be freely radiated into space , as before stated This exterior con densing matter if it fell towards the sun would cause the orbit position O f the n e w forming planet to be towards the interior O f the ring In this positi on the precipitation O f exterior matter falling in spiral path wo u ld give excess of velocity from gravitation to the interior matter beyond its original ang u lar velocity and m ight set the planet in gravitation equilibri u m for a nearly circ ular orbit and in rotation at this inner position altho u gh the origin a l nebula had less angular velocity as wi ll be shown that it may have had further on It is not necessary therefore u pon the principle of exterior radia tion to ass u me that a planet was formed entirely O f m atter of a nebulous planet zone ; it is much more probable that the inner con den s ation s were at first upon the neb ulous sun s surface and did not separate therefrom unti l a dense motive system had been already form ed in one position Neither is it necessary to ass u m e in all cases a single ring or a perfect — ring system there may have been many imperfect or partial - , ’ . , - , , . . - , . . . , , , , - , - . , , , . , , - ’ , . CHA P T ER VI . C O ND ITI O NS I N T HE EAR L Y S O LAR S YS T E M W H IC H M AY BE INFERRED FR O M T HE D I S TAN C ES AND MASSES O F T HE P LANE T S U P O N T HE NEB U LA R THE O RY C ER T A I N . 1 03 . T he D is ta n ces of the P la n ets f om the S n appear to r u be in somewhat symmetrical order in individ u al dis t ribu tion of position altho u gh their masses do not indi cate any law for their form ation consistent with the condensation of a gaseous system or of a u niform ly distrib u ted discrete syste m by a decrease O f density out w a rd from the gravitation centre or sun The approximately symmetrical order of dist ance s without relation to the amo u nt O f distribution of matter was pointed out by Titi u s in 1 7 7 2 which became known as B ode s Law owing to the special attention called to it by that astrono m er T It is illustrated in the following table , the scale O f measurement being the s u n to earth unit , . , , ’ . . ’ T a b le of B od e s L a w M er . V e n u s E a r th . . M ar s At s er . . J up . . S at U . ra n . p Ne tune ° 9 6 12 ‘ T h e o ry 52 . i S e e M s s C l erk e s t ’ 10 38 4 19 6 38 8 19 2 30 1 Hi st ory of A stronomy in th e 19 th C e ntu ry p 8 7 ’ , W T Lynn, O b servatory , v ol xvi (Ap ril , 1 89 3 ) p 1 78 . 4 19 2 ’ . . . . . . . . D I S T AN C E S AND MASSES O F T HE PLANE T S 81 . In the fi rst line 4 is given as an arbitrary plus constant It may be noticed that it is correct to O bservation , according to the law for the places of the E arth and Jupiter irregular with the inferior planets and Mars and Should be omitte d a ltogether as a p lus cons ta nt for the outer planets failing entirely for Neptune The second line in the table is in geometrica l series from Ven u s which is quite arbitrarily taken a s 3 The third line gives the theoretical ded u ction The fourth line gives approximately the true O f B ode s Law distan c e as fo u nd by observation With Uranus and N eptu ne there appears to be a certain element O f orbital ti m e relations ; the year O f Neptune being about double that of Uranus 1 0 4 T he M a sse s of the P la n ets —N O law has been dis covered for comparison of the masses of the planets , except tha t the four inner pla nets are smaller and have a m ean density more than five times greater than that of the four outer ones which may indicate that their formation has been upon a di fferent plan In the outer planets there is a kind o f proport ion O f masses to spaces , which agrees approximately with an assumed decrement O f density O f n ebulous m atte r employed in their formation not inconsistent with the manner in whi ch mixed gaseo u s matter would probably condense when placed aro u nd a gravitation centre 1 0 5 Following the demonstrations of the theory of L aplace th e density of matter to form the planet may be estimated by r eversing the process of its condensation ; that is , by the dissip ation O f the mass of the planet into the assumed original A ssuming n ebular zone ring volume it formerly occupied that the pla net will be formed u pon the inner s u rface of the ring as stated above since radiation, and therefore contraction , m u st be exterior to thi s w e may for calcu lation take the mean distances from t h e s u n of any pair of planets and make half — their di fference the radius O f the ring assumed for argument o f circular section Calling this r , the section of the ring . , , , , . , . ’ . . , . . . , . . , . - . , , , . G N OT ES O N THE NEB U LAR T HE O RY 82 . will be wr making r l the mean radi u s of the orbit O f the ring and th erefore its circ u mference 2 7rr 1 we have for the volum e 2 2 of the ring 2 7r r r 1 We may conceive the ring of a certain oblateness ; say this diminishes the area O f the section by 3 2 tw o thirds our formula then becomes §w r r 1 for the corre cted ring volume NO W taking the planet as a sphere ga r ", r 2 being its radi u s and dividing this into the vol u me of the ring we O btain its assumed original density in the planet s specific density units For comparison it is convenient to make the unit O f den sity that O f air at the earth s surface Then the specific density O f the earth is found by m ultiplying its volume by 5 6 its specific density co m p ared with water and 80 0 the ratio of air to water C alling this m, the com l e te formula becomes p ’ , . - , . , ’ , . ’ ' . . 2 2 2 § 3 3 r2 m r2 m 2 W § O ther planets may be taken I n a similar manner chang ing m to m according to the data for the density O f the planet The following table is taken from the above formula , adopting B ode s law for t he mean place of the A steroids 7r r r 1 7rr r , , ’ . ’ T a b le of P r op or tio ns of D en s itie s of the N eb u la r P la net R ing sp a ces to the D en s ity of A ir - Ju pi ter . I/50 5 ,900, 000 S at u rn U ranu s N ep t u ne The irreg u larity of these fig u res appe ars to indicate the improbability O f the part O f our neb ula which formed the planets having been condensed from m atter symmetrically distributed in an oblate Spheroidal for m , altho u gh perhaps this may not be altogether inconsistent as a form of condensa t i on O f the four outer planets and their satellites as the table , sho ws great in crease of tenuity outwardly 10 6 . . k ' N O T E S O N T HE NEB U LAR T HE O RY 84 . angular velocity of the particles were less than the tangential velocity O f a p a rticle in gravitation equilibr ium according to the la w of orbit S O that the p a rticles separately condensed would fall in the direction O f the neb u lous sun of the period into ellipti c al O rbits S uch particles would be O f different orbit periods fro m di fferences of distance at the points of c on densation so that they might afterwards co m e into colli sion at the crossing of orbits about the coincident orbit position to cohere and for m a planet ; or they m ight u nite in th e exterior O f the central n e b u lou S syste m at the perihelia O f their pro e cti o n w which ould henceforth become their orbit This j , will be further discussed , ‘ . , . . 1 09 . P r oba b le F or m of the O rigin a l P la neta ry N e bu la . If we take the ori ginal neb u la to have been O f ab out the same density at periods when the sep a rate planets were aba ndoned we may then plot a section that would represent the form which the planet forming ne bu la would ass u me after a certain amount O f condens ation This would Show a con s i de rab le ro u nded projection over the positions O f the planets Ju piter and S aturn and as the S u n would also be contracting this part O f the nebula O f the solar system would for a period assu me a convol uted discoid for m possibly as represented in fig 10 ; the positions O f S aturn and Jupiter being shown at In the present construction w e are considering the S J p lanetary forming nebula only which will be a bout the orbit plane and o m itting all consideration of the circumscribing s u n— for ming pneu m a sy stem , which would maintain the spheroidal form 1 1 0 In accepting this form , it is extremely probable that there was so m e extern a l cau se for the exceptionally large P ossibly these masses O f matter in Jupiter and S atu rn planets represent fa ctors of an early intrusion of a local con densation O f the neb ula that formed at a distance from the solar plane , which w a s afterwards projected into it by attra c tion to the sun S uch projections might be constrained to , - . , , , . , . , . . . . F O R M O F O R I G INAL NEB ULA 85 . follow a circular orbit by the resistance they wo u ld encounter if they ente red the sun s nebula at abo u t the periheli a of their projections thereto A s before s u gges ted , representation O f a part O f s u ch a form of neb u la seen in plan u pon a large scale may possibly b e found in the great neb ula of A ndro m eda, P late or in a more p ronounced form in the ring nebula a O f L yra P l a te II In fig matter is Shown distributed 1 0 , , g ’ , . - , . . . Fi g 1 0 . . symmetrically abo u t the orbit pl a ne ; b ut it is more probable a s will be seen later on , that the pl a net for m ing disc w a s not of this sy mm etrical for m , but irreg u larly convoluted while still in a neb u lo u s state 1 1 1 Efi ects of the vo lu min ou s R ing of J upiter her e p rop os ed — — l u i t t er S o a r S s em I n ass u ming an ex u on the i n tr a J y p p tensive zone ring O f nebulous matter for the formation O f Jupiter the conditions that will be presented for interior pl a netary for mation become m aterially m odified fro m the unifor mity of direction gravi tation due to the sun only as before proposed In the case before us the intervening interior nebulous matter tow a rds the J u pi ter ring would be solicited by tw o unequ al gravitation systems tha t of the s u n a n d that O f Jupiter ; the Jupiter ring being practically active near its s u rface only A ss u ming the intervening matter between this ring and the s u n at the time to be wholly nebu lo u s this neb u lar condition being assumed to be largely maintained by the heat of the interior of the ring there w ould then be a strong tendency through cohesion for the nebul ous matter near this ring to be dra w n either to w ards the s u n or towards Jupiter in condensation This wo u ld - , - . . - , - , . , - , . , , . 86 N O T ES O N T HE NEB U LAR T HE O RY . occ u r particularly from the condensation d u e to radiatio n being greatest in relation to the depth O f volu m e in the most attenuated part O f the nebula fig 1 0 A Therefore I n this case the condensation wo u ld be from the surfa ce in the orbit plane O f the neb u la and wo u ld tend to break it up into separate superficial S m all local condensations F u rther from the great extension ass u m ed for the neb u la r system O f Jupiter exterior to the plane of orbit and the large vol u m e of the nebulous s u n at the time , there w ould be little excess O f attraction towar ds the pl a ne O f orbit for nebulous matter within the orbit of J u piter Therefore u pon condensation of such a nebula , owing to the equilibrium of its position between the attractions O f the S un and of Jupiter there wo u ld be a loca l tendency to form very small c ondensations or planets par ticu la rly near the interior of the extensive n ebular rin g of Jupiter These are probably invisible from our distance S u ch s m all planets at least the earlier ones formed upo n the exterior radiating surface , wo uld possess great inclination to the p lane of the orbit of J u piter in moving as free bodies u nder the stronger influence of the sun s attraction In the equili b rium of position of condensation w e have possibly t h e principal reason that the A steroids are O f s m all mass and partic u larly th at these s m all bodies Should O ften be found moving in eccentric and inclined orbits o m itting extreme cases of inclinations probably due in part to other causes previo u sly considered 1 1 2 R ela tive R a te of Coo ling of the I n tra J up iter S u n s s tem — A fter the sun s spheroidal volume had reti red from y the inner surface of the ring O f J u piter s nebula , and this nebula was becoming of ins u ffi cient temperature to maintain an inn er nebulous system , and many A steroids O f inclined plane O f orbit had been condensed the rem aining nebula may have been disposed approximately as represented in fi g 1 0 where the letters S , J , A M E represent diagrammatically the positions O f S aturn J u piter, the A steroids , Mars , and the . , , . . , , . , , . . , ’ . , , - . ’ ’ , . , , , , CH A P TE R VII . S U GGES TI O NS FO R C A U SE S O F D I RE CTI O N O F R O T A TI O N O F T H E — P U N AND LANE T TH E D I RE CTI O N O F R E V O L U TI O N S S . VEL OCIT Y O F RO TATI O N O F T HE P LANE T S AND O F T HE I R S A T ELL IT ES . , . T he D ire cti on S ola r A x is f f ” 1 1 represent the near e st St a rs to s s (fig ) ’ ” line of direction 8 c s therefore the mean 7 9) o f the planets orbits as before d efined be other stars more distant from the s un 1 14 . o the o ’ . ’ Fi g 1 1 . . the distances between the sun and each of the stars , by the arcs shown The dotted O f eq u al mass with the sun lines embracing these bisections would represent the extent O f the sun s original pneu m a system , or that O f the mean gravitation influences between th e s un and these stars , . ’ . D I RE CTIO N O F R O TATI O N 89 . A ssume the solar pneuma in revolution hen free fro m sur rounding matter through condensation with its axis at right angles to the plane s s Then it is clear that a larger amount O f matter in fu rther condensation wo u ld fall to the s u n in the directions a a than in the directions b b ; and as this matter wo uld in c ondensation carry with it the original tangenti a l momentu m of the uniform angular velocity of the pneum a system t h e equ atorial plane would thereby be ” elevated from the original solar plane 3 s towards a a the direction from whi c h the greatest amo u nt O f grav itatin g matter wo uld fall so that the orbit plane O f planet forming " m atter would he s s but the momentum of the s u n s con ’ densation greate st in the plane a a and its equ ator be subject ’ ” to th e combined directive i nfl u ences of s s and a a The plane of the sta rs taken above for ill u stration mu st be u nder stood to be purely diagramm atical ; no s u ch plane exists , neither could the axis of original pneuma rotation be defined , the plane produ c ed would be und u latory b u t the principle will hold for stars in any direction fro m the s u n and any plane O f rotation N ebulae that approach the Spheroidal form O f which the great neb u la in A ndro m eda may be taken as a type ( P late II , a ) are generally a sym m etric al being more dense in certain directions S uch syste m s in condensation would not therefore produce axes sym m etrical in the plane of w , , " ' . ’ ’ , ’ ’ , - - ' ’ , . , . . , ’ A x es — If the suggest d e f discoid form of the planet form ing nebula (fig 1 0 ) existed wi th matter sym metrically distrib u ted abo u t the equ atorial plane the planetary axis would be vert ical to the plane , but it is not at all necessary to ass u me the pla net formin g matter to be placed symmetri c ally If it w ere not so placed the direction O f rotation of a planet would be in equation with the mean momentum O f matte r falling to the planetary 1 1 5 D ir ection . the o P la nets - . , - . H I 200, 111 . , n I 53 , M 8 1 . . 90 N O T ES O N T HE NEB U LAR T HE O RY . centre fro m any direction Further the pneuma system is assumed to extend in all directions and that condensations occur at its outer surface ; therefore condensations wo u ld fa ll into the pla neta ry plane in all directions , s u ch m atter being projected in co m etary orbits Matter th u s projected to w ards the sun and towards the denser equatorial nebular plane wo u ld be absorbed in the nebular syste m and give local directive infl u ences by ca u sing intermotion within the nebula without necessarily displacing greatly the positions o f the pl anetary condensations then forming This assumes the p lanet to be of m u ch greater mass than the units O f intruded matter falling constantly from vario u s d irections , and there fore s u ch intrusions to be of insu fficient momentum indi vidually to materially disturb its orbital position The projection matter would be very much more O f eccentric c ometary frequent in early times than at present as all s u ch projections wo u ld become absorbed in the solar planetary nebular system . , . , . . o , - Fi g 12 . . . We must assume , fr om the extent O f a pneuma solar sy stem that cometary matter from exterior condensation would materially affect the intermotion of the parts of any system of nebula that was in a state suitable for planetary condensation , wherein every planet would form a gravitation S uch intrusions only by centre with directive influences directive impression according to the momentum of matter projected fro m any direction might disturb the mean plane of orbit O f the planet , or induce obliquity O f axis by diverting the mean revol ution directio n in the con densing nebul a O f which the planet was being formed Under these conditions the theoretical general half sectio n O f the planet forming - , . , . - 92 N O T E S O N T HE NEB U L A R T HE O RY . force the te ndency O f all exterior matter would be active to press forward towards the centre as the virt u al velocity would be less in any inte rior p a rt tha n that which wo uld separately maintain its matter at the original distance of radi u s in a free state O f orbital motion Upon this con dition the s u rro u nding pressure within a gravitation system if it exceeded the elastic forc e O f the internal heat O f the system for m aterials in a highly gaseous state would form a dense m a ss or sun in the central part In forming this central dense co ndensation omitting the friction o f the sy stem which would prod u ce heat, or ass u ming this eq u al to the acceleration O f its gravity in falling sunward we may take it that all matter condensed upon the s u n would carry with it the linear velocity of its former position which wo u ld be greater in the proportion O f its original lin e ar circu m ference to the circ u mference O f the sun upon which it w as afterwards condensed This condensed matter wo uld there fore rotate the s u n in proportion to the me an excess O f linear elocity or momentum O f the matter condensed upon it from w hich it was formed 1 1 8 To demonstrate the above proposition , w e may assume that all nebulous matter formerly condensed upon the s u n in consecutive shell layers over its s u rface at first from directive press u re of the interior parts of the nebula surrounding it which w e ass u me was moving in mass at equal angu lar velocity with the centre or sun Then the condensations from the interior parts would impress sma ll excess of linea r velocity upon the sun in the e a rly or central shell s of con densation and the more exterior parts consec u tively higher velocity fro m the condens ation O f these more distant parts of the neb u la in the oute r shells which theoretically wo u ld be consec u tively b rought do wn to the surface O f the sun S O that with increasing vol u me the condensed central sun wo u ld a tta in constantly increasing velocity O f rotation B y condensation in the above pa r agraph is intended purely , . , , . , , , . v . . - , , . , , . . , R O TA TIO N O F T HE S U N 93 . — condensation the condensation being due to loss of g heat by radiation from the system by which the whole mass maintained the elastic force with which it formerly resisted a central gravitation tendency 1 1 9 We will ass u m e as an hypothesis th a t our original sol a r neb u l a possessed the rota tion period O f Nept u ne O f abo u t 1 6 5 years Then ass u ming this neb ul a O f spheroidal form every section of which was condensing by gravitation thro u gh loss of heat towa rds the s u n with dire ctive mom entum in proportion to the ori ginal virtual tangenti al velo city of its arts the mass of the neb u l a being for the present proble m p ta ken to b e in density inversely as the squ ares of the distance of its p a rt s then if the neb ula co u ld be entirely condensed u pon the s u n to its present state without loss by friction more than the ex cess of momentu m due to gravitation in falling sunwards the s u n should afte r s u ch entire condensation possess a peripheral velocity equal to the peripheral velocity That is in the case w e assu m e the O f the original neb u la velocity of the planet Neptu ne in its orbit This may be calculated 1 2 0 The orbit o f N ept u ne has a circumference of abo u t miles and his revol u tion period is abo u t days equ al to an absol ute di u rnal velo city O f abo u t miles in our sidereal day The sun has a periphery miles Therefore if the whole nebula O f about condensed upon the sun witho u t fri ction in sh ell layers within the orbit O f Neptune the s u n s linear velocity wo u ld be a t its equator equ al to the velo city of N ept u ne in its orbit which would make its period of rotation so m ewhat u n der O bservation Shows the sun to rotate in about 2 5 9 5 days days so that the present di u rnal velocity O f the eq uatorial s urface O f the s u n is miles that is only a little over 2 6 O f th a t whi ch would be due to condensation O f the e nclosed nebula within the orbit of N ept u ne upon the con ditio n s proposed above , taken as a trial hypothesis a se ou s , . . . , , , , , , , . , , . . . , . . , - ’ , , . , , , . 94 N O T E S O N T HE NEB U LAR T HE O RY . Upon the nebular theory the formation of any plan et say Neptune co u ld not have occ u rred until a l a rge vol u me of exterior m atter had condensed to this position Indeed the whole conde n sation must have taken place at the exterior or radiation s u rface O f the neb u la at a distance within which alone the pla net co u ld be formed as exchanges O f heat wo uld prevent it co nden sm g sunward as before stated Therefore the rarer port ions O f the neb u la m u st have extende d at an early period to a great distance beyond the orbit of Neptu ne and the same extent of neb u la m u st have been instr u mental in s u n formation although the conde n sation to form the s u n might oc cur centrally from loss of general elasticity If we a ss u me the original radi u s O f the nebula to be represented by 12 1 . , , . , , . , , - , . Xj% , where V is the orbital velocity O f Neptune and v that of the periphery of the s u n and D the distance O f N eptune we have for the distance d of an exterior plane t i n the present case for particles in gravitation equilibrium — ac c ording to the law of orbit about millions O f miles , tha t is if the neb u lo u s matter w a s moving with equ al angular velocity to t hat of the sun s present equatorial surface 1 2 2 This being the radius of eq u ilibri u m O f a particle moving in a circu lar orbit at the distance given wo u ld indicate upon the principles O f gaseo u s condensation the fu llest possible extent O f o u r original neb u la that could have been active in motive factors u pon the sun if its density diminished inversely as the sq u are O f its distance and the condensation was frictionless In this theoretical calculation , therefore w e m a y ta ke i t that the angular motion of the nebula prod u ced the ang u lar motion of the s u n thus leaving direct gravitation in c ondensation to represen t his heat 1 2 3 In th e above construction altho u gh the motion O f a planet may be used as the index of the extent of the original neb u la at an early period yet the planet s own formation may be excl u ded from the consideration of sun formation , s eeing , , - ’ . . , , . ' , , . , . ’ , - N O T ES O N T HE NEB U LAR T HE O RY 96 . m ay divide the entire momentum O f a nebular planet zone m oving under the s u n s attra c tion into t w o factors of motion angular motion and gravi ty These w e can distribute into tw o constants as the final condition O f condensation 1 P er manent acceleration of rotation O f a condensation within the zone th a t is the future planet 2 A cceleration O f revol ution to give the planet orbital motion We may take it as an hypothesis t hat the s u nward acceleration by gravity into the original momentum O f the condensations of matte r falling from the outer part O f the system gives su fli cie nt accelera tion O f revol u tion to establish the orbital motion : and that the difference between the ang u lar velocities O f the outer and inner parts o f the zone ring gives the rotational velocity to th e planet as the probable action of the motive factors e vident in the system proposed 1 2 5 T he O r b ita l Ve locity of a P la n et d er ived fr om the cen tra liz ing gra vity of the o u ter p a r ts of a n eb u la r z one fa lling — r t r a s A ssume a planet newly forming by u on the in ne p p detachment O f a zone at the periphery O f the solar nebula, and that thi s zone is condensing most rapidly at the greatest distance from the sun A t this instant the pe riphery of the solar nebula must be moving at slightly less velocity than the detached zone as before stated ; so that we make the velocity of the outer periphery of the nebula O f the next inner planet zone ring that of the orbital velocity of the next o u ter pl anet We h a ve n o data fo r this in the c ase O f N eptune which m u st be referred to the extent O f the sun s nebula at its peripheral velocity but we may take any other two nearer planets whose mass is suffi cient to allow o f their being regarded as nebular formations say S aturn and Ju piter In these the li near velocity O f the s u n s nebula at its equator could not have been so high as the velocity of S aturn at the time the S at u rn zone ring w a s just detached from the s u n s neb u la If we consider these orbital velocities we find miles diurnal velocity that O f the next S aturn equals - ’ . . . , . . - . . . . , - . ’ , , , . ’ ’ - , . , O RB ITAL V EL O CIT Y AND R O TA TI O N O F PLANE T S 97 . inner planet Jupiter miles ; therefore, to define the velocity O f Jupiter in its orbit u pon the data suggested we r equire plus The plus velocity is herein m iles assumed to be derived from gravity of the m atter falling towards the s u n that is entirely condensing towards the position O f J u piter 1 2 6 The simples t possible constr u ction to Sho w this is to assu m e that matter condensing from the o u tward p a rt of the zone was m oving j u st belo w the velocity O f an inner part Then this m atter wo u ld n ot have s u fficient moment u m to m aintain its tangential position S O that it must fa ll into an elliptical orbit of which its origin a l position in the z on e was its aphelion If we a ss u me that this matter c ould move without resista nce , its velocity would increase according to the law O f radii v e ctores until it rea c hed its perihelion And if w e s u ppose this matter to form a planet at its perihelion position by enco u ntering j u st su ffi cient resistance in surro u nd ing matter to retain its perihelion radi u s by defle cting it fro m an elliptic to a circular orbit this wo u ld represent the velo city of the inner planet moving according to the law of orbit W e cannot O f course presume that this is the real condition altho u gh it may represent its motive fact ors The nebula being ga seous would resist the direct contin u ity of the orbit O f a c ondense d o u ter particle or aggregation of such particles so that they co u ld only fall s u nward in spiral paths , possibly as fl occu li ; and the whole system might possibly be more nearly represented as a press u re system upon the n e w forming planet a ccelerating its motion than a s a free motive one , but the dynam ic effects would be the same 1 2 7 T he R ota tion of P la n ets — A ss u me a planet ring to be detached from the sun s nebula and that henceforth t his is a free elastic body revolvi ng with tangential velocity in equi librium with the attraction of gravity upon it to maintain its orbital posi tion according to Kepler s third law If th e H . , . . . , . . - , . , . , , - . . . ’ , ’ . 98 N OT ES O N T HE NEB U LAR T HE O R Y . rotatio n of the peripheral band from any cause were Slowe r than this it could not leave the sun s surface If it were faster its matter would fly O ff into space ; or putting the matter practica lly the zone ring w o u ld contract or expand t oits position accordi n g to the law O f orbit As regards the separate p a rts of the planet ring , it is assumed that these being at fi rst a part of the sun s nebula in a highly gaseous condition would revolve in all parts in relatively stati c positions exactly as though the ring were a solid body attached to the solar neb u la This is in ferred from the fact that any intermotion of its interior parts in a gaseous body wo u ld be more frictional than that of equal ang ular velocity in which there would be no internal displace ments 1 2 8 If therefore w e assume that the planet ring revolved at first with equal ang u l a r velocity in all parts in mean gravitation eq u ilibriu m for its distance from the sun centre and that a condensation occurred in a ny part O f the ring from pre existence O f a denser part which may have been caused by the intrusion O f a comet a sho w er O f meteorites or other wise — then all parts O f the ring system su fficiently near together to support a system O f cohesion in gravita tion continuity would be drawn towards the denser part with velocity of approach inversely proportional to the squ are o f the distance from the gravitation centr e less the resistance by friction within the system In this case the tangential velocity of the ring being assumed to be at its o u ter sur face in equation with gravitation for a circ ular orbit there wo u ld be no tendency for the ring to leave its orbit , but matter wo u ld be continuo u sly drawn towards the centre of attraction of the n ew forming planet in which case accommodation must be found for the volume O f matter set free from its outer zonal position and attracted towards the ne w forming planet 1 2 9 Under the conditions proposed w e should have towards the planet s nucleus currents from differe nt par t s O f ’ . , , - , . ’ , . . . - , - , - , - . , - , - . , . ’ N O T ES O N T HE NEB U LAR T HE O RY 1 00 . inertia of the portion O f the planet formed at the time The ” condensation O f matter from b when the linear velocity was ’ ’ less than the ang u lar velocity of the planet at a b in relation to the sun , would impress its moment u m at b in direction opposite to that O f a so that this would proportionally rotate ” the planet in the same direction as the outer matter from a . , ’ ’ , Fi g 13 . . to a N O W if all parts of the ring by accommodation con served the momentum in condensation d u e to difference O f length O f arc and that due to attractio n O f the parts of the system upon themselves by which the axis of the planet wo u ld be set in rotation by cyclonic acti on the fi nal velocity O f rotation of the planet wo u ld be approximately such that its periphery would possess a velocity equ al to the differences of the velocities O f the inner and o u ter parts of the neb ul ar ring ” a ’” a n d b b ” between which it wa s formed, upon the a a conditions O f this proposition 1 3 2 It is assumed that a planet upon fi nal condensation fro m a nebular ring wil l be placed very near the interior O f the ring S ince radiation into Space , as before stated can o nl y take place from th e o u ter parts , and n o t towards the nebulous s u n whic h at an early stage of the planet s formation would be heated su flficie n tly to maintain a nebul o u s state and be nearly as large in diameter as the inner surface of the ring The nebular matter being contin u ous in the rIng will maintain cohesion or separate by flocc u lation in attra ction to wards the planet, as before stated, during its formation ; ’ . , , . . , , ’ , . , R O TA TIO N O F T HE P LANE T S 10 1 . so that the exterior conde nsation may be represented as showers of rain drops falling upon the pla net carrying with them the tangentia l imp ulse d u e to their original m otion and former position This wo uld occur S O long as the interior heat of the system could maintain a p u rely nebular state If the whole system was falling to the criti cal temperat u re of liqu efaction of a large part O f the neb u l a or the for m ation w a s influenced by a ring of exterior heated m atter, a s possibly w a s the case with planets interior to Jupiter the regularity O f condensation proposed above would be materially modified 1 33 To maintain the condensation continuously in a n ebulous state from the zone ring to the perfect pl a net w e must evidently possess a large volume of nebu lous m atter in this ring as any thinly distributed system wo u ld condense quickly by radiation of its heat after se pa ration from the sun into dis crete matter before a nebulo u s planet could be formed Therefore it becomes probable that only the large planets of our syste m Jupiter and S aturn co u ld condense under p u rely neb u lar con ditions wherein the equal angular velocities of the system might be m a intained Further inference that these planets are O f purely nebulous form ation is found in part from their low specific gravity, d u e probably to the conservation O f heat in their interiors , rese mbling in a certain degree the conditions O f condens a tion O f the sun — u t u Taking the pl a nets 1 3 4 R ota tion of J p iter a n d S a rn S at u rn and Jupiter under the p u rely neb u lous conditions proposed let r and r l be respectively the outer and inner radii or distances from the sun O f tw o c onsecutive planets then r —rl will b e the diameter of the nebular ring which we may a ssu m e as a gravitation system of circ ular cross section from which the inner planet will as shown fig 9 , p p (p be forme d and 2 7r (r —r 1) the difference between the circum L et P be fe r en ce s O f the o u ter and inner parts of the ring th e diameter O f the planet, and vrP therefore its circumference - , . . , . . - , , , . , , . . . , - , ’ . . , . , 102 N O T ES O N T HE NEB U LAR T HE O RY . and H the number O f sidereal h ours in one complete revola tion ro u nd the sun The peripheral space that the equatorial surface O f the planet will describe for its orbit in time wil l be . ‘ ' fl PH 2 7 (r r1 ) ’ and the theoretical term H1 , according to this PH proposition , will be following table Th e 2 ( r —r 1 ) constructed upon these data will gi ve the theoretica l rotation time in hours proposed approximately for a planet O f equ al density througho ut formed from gaseo u s matter moving with equal ang u lar velocity u pon this hypothesis The T column is the O bserved time in hours as far as kno w n 1 3 5 It is seen that the virtual velocities of the parts O f the condensation would depend upon their final position in relation to the centre of the planet The nearer the centre the greater the ang u lar motion impressed u pon the planet from an equ al linear velocity , S O that a planet dense at its centre , and the reverse at its periphery, would U pon final condensation have greater rotation velocity than one due to the condensation of equally dense consecutive Shell layers over its s u rface to form its mass In the following table the planets are taken as being O f uniform density th rougho u t . , . . . - - . . T a ble of T he or etica l R ota tion of P la nets for med u nd er p u re l P an et . i ly N eb u la r Con d ition s D iffer en ce of C rcu mfe ren ce i g2 ( X h ours s c rcu m fere n ce O f r n 7r r i l o f p a ne t H i T h e o re t cal d u rn a r otat o n H 1 i . . i l O b s erv ed d u rn a rota t on T i . i l . 2 7 ,6 7 U ranu s 13 6 . In th e above table the acceleration O f ro tation or of N O T ES O N T HE NEB U LAR T HE O RY 1 04 . eparate parts of the ring are now drifting in co ncentric orbits u pon and around the planet with gre ater velocity t han that O f its s u rfa c e In this case the he at engendered at the s u rface O f the pl a net by condensations or collisions O f meteoric m atter projected thereon would prod u ce a nebulo u s atmo sphere perm itting only the approach O f the exterior meteoric ring matter whi c h is probably in the form of d u st to drift under the resistance it enco u nters in Spiral or cycloni c paths This may a bout the planet s equator and o u tward from it prod u ce the present surfa ce a ppearance which may be si milar in m ot ion to cyclonic areas in the atmosphere about our equator T he virtual velocity O f the parts O f the broken ring being greater than that O f the surface of the planet this matter in drifting over and covering the s u rface O f the planet w ould present the only m eas u rable part O pen to o u r O bserva tion the pla net itself being entirely obscured 1 3 8 In Jupiter we have not the lo w density which w e h ave in S at u rn to indicate form a tion u nder p u rely nebular conditions S O that the reasons gIv e n I n the t wo previous paragraphs are q u ite su fficient to acco u nt for the excess O f velocity over that requ ired by the theory O f our table If necess a ry it wo u ld not be di ffi c u lt to find others If the zone ring was originally elliptical , and the planet co ndensed at its perihelion position the di fference of line a r ratios of the outer and inner s u rfa ces (fig 1 3 a a , b b) wo u ld fully a cco u nt for the ex c ess of rotation A gain it is not im possible that e xterior m a tter moving at greater velocity drifted into the planet d u ring form ation 1 3 9 In the planet S aturn we have evidence O f purely neb u lo u s conditions in formation in which the surrounding equ ilibri u m of m atter w a s S O perfect that central rings O f c ondensed free matter were possible O f formation ro u nd its equ a tor In this case we have a rotation period in nearly exact equation with the tangential velocities of the part of the exterior nebula fro m which the planet w as formed upon S . , , ’ . , . , . , . , . . , - , . , . , . . , . R O T A TI O N O F T HE PLANE T S t h e theory proposed 105 . N evertheless it must be in some degree . accidental th a t this comes S O nearly into agreement with my It is in all prob ability much m ore t heory in this planet dense in its central part s than at its periphery ; it should possess therefore greater velocity than it does , but this di fference may well represent the friction O f the sy stem in formation 1 40 F urther , with rega rd to Jupiter and S aturn it is rtain whether w e m a ke s u ffi cient allowa nce for rin e a s u s u ch bright bodies as these pl a nets ya g The mean me a s u rem ents O f Ven u s as a bright body by H artwig , K a iser, A iry , and Amb r on n give at a dista nce equ al to its me a n transit position The me a s u rement O f Ven u s by A u w ers as a dark body in transit gives 1 6 8 0 1 from which w e may con c l u de the tr u e m eas u rement of Ven u s is probably 1 7 1 9 7 applying a si milar red u ction to Ju piter which it is impossible to meas u re in th e same manner we m iles have its diameter abo u t This proporti on is also confirm ed by so m e meas u rements made by my self O f the iridescence of bright bodies under the microscope It is evident also in the apparent thickness O f the fila m ent of an incandescent electric light that may be co mp a red with i ts reflection in a polished s u rface O f black glass which s u ggests a possible mode O f m eas u rement of J u piter and Ven u s by r efle ction from a bla c k surfa c e 1 4 1 Uran u s is added to the table which gives u pon the t heory O f the rotation O f Jupiter a n d S at u rn a period of ho u rs This planet however if we take the direction of its satellites as a n index is moving probably, b u t not necessari ly in the reverse dire ction which might occur from its formation from discrete particles according to the theory This theory m ay be Shown by the same diagram O f Faye In this case matter is ass u med to be moving in free orbits . , , . , . . - . ’ , ° , , . . , , . . , , , , . , , , , , . it Fy a e, S ur l O rigi ne da M ond e , 2 nd e di t ’ ’ . p 1 17 . 10 6 N O T ES O N T HE NEB U LAR T HE O RY . ” ro u nd the sun , and the particles along the arc (fi g 1 3 , a a a ) ass u med to have less virt u al velocity than those along b b b , consequ ently the planet would move in the reverse direction A nother plan O f rotation will however , be suggested furthe r on 1 4 2 R ota tion s of the A s teroids — The rotations O f planets inferior to J u piter wo u ld of co u rse , depend u pon the mode of their formation The atten u ated plane O f the neb u la pro posed for the formation of the A steroids wo u ld leave these condensations ab ou t this plane so as to form an early break in the neb u lar system O f the s u n and the henceforth separate neb u lar system of J u piter so long as the A s teroids re m ained in the orbits O f their original formation , they wo u ld take rotation perio ds consistent with the principles proposed for the formation O f p u rely neb u lo u s planets considered above , little affected by the decentralizing action of J u piter or its original ring system Any O f these minor planets , if formed thro u gh separate condensations of concretions O f smaller planets , or of meteori c matter by after collisions , in the crossings O f orbits wo u ld have their original rotation d u e to condensation u nder neb u lar conditions diminished by the loss directive momentu m O f rot ation whi ch wo uld be O f the converted into heat at the time O f collision The absolute condition O f these bodies m u st rem ain altogether specu lative, o u r present limited knowledge being ins u fficient to obtain data for the actu al rotation periods necessary for its con sideration They most probably move with different rotation velocities and it is not improbable that some rotate in the reverse direction Ma r s If Mars w a s formed directly under the 1 43 neb u lar con ditions proposed for the s u perior planets from a neb u lar ring which extended to the near a s te roid l Ethra, it wo uld possess a rotation only slightly in excess of its re v olu tion period If w e ass u med a wider area for the ring , possibly to inclu de the formation O f E thra in a nother or O pposite part ’ . ' " . , . . . , . ’ , - . , - , . - . , . - . . , - . 1 08 N O T ES O N T HE NEB U LAR T HE O RY . the factors O f matter whi ch for m ed the planet and thi s might be fi xed upon purely neb u lar conditions as with the planets Ju piter and S at u rn , allowing time for the neb u la to con tract u pon the sun only witho u t planet formation as before proposed The general conditions of density of the surface form ation O f M a rs an d the presence of ne a r A steroids do not indic ate equ able neb u lar conditions at its formation This does not however infer that it was not at one period part ly a neb u lo u s globe , the gravity O f which w a s s u perior to that O f an f near body cond nsed matter indeed this is probable O e y for the for m ation O f satellites upon principles to be discussed further on 14 6 R ota tion of the E a r th —If we take the same purely neb u l ar conditions as proposed for the formatio n of the large planets by the condensation of matter carrying virtual velocities O f the parts O f the ring system to the planet and assume under like conditions that the ear th s neb ula ex tended a t one period to the orbit O f Mars , we shall arrive at a rotatio nal velocity much greater than that whi ch we O bserve B u t in the dis c oid al neb u lar system proposed fig 1 0 p 8 5 it wo u ld be extre m ely improbable that the actual earth for ming By n eb u la in contact with it ever possessed this radi u s the principles of sun condensation without planet formation already discu ssed and its condensation when matter just interior to its orbit was at a critical temperature w e may fi x the earth s neb u lar ring orbit consistent wit h its period of , - , . . ' , , , . . - , ’ . , . , . , - . - - , , ’ - j — ) Q E considering the rotation as before by the form u la , PH , ’ density of the earth and a certain extent of space between its orbit and that of Mars for its vol u me The probability is that the greater part O f the E arth Mars interspace w as condensed at an early period into separate smaller neb u lar planets as j u st proposed for Mars and showers O f meteorites at its outer p a rts were moving in very elliptic orbits The condensation which may r epre sent the nucleus nebula o f the . - , , . R O TA TI O N O F T HE P LANE T S 1 09 . earth moon was possibly at about its present mean radial distance from the sun Under these conditions the o u ter condensations , w hether neb u lous liqu id or solid a ss u m ed O f eccentric orbits wo uld be drawn a t perihelion tow a rds and into the e a rth s neb u la if these dis c rete condensations at the period extended a s was probably the case beyond the ra dius O f the moon s orbit Fu rther in an atten u ated ring system , as the e a rth s system m ay have been at an early period , while rapidly cooling condensations wo u ld o ccu r at different parts of the ring and a t slightly varying distances from the s u n as before s u ggested , so that u ltimate collision m u st occ u r between them an d the earth Under s u ch conditions w e sho u ld have thro u gh condensation v a riety of density and s u rface conformity and rot ation in composition with a ll the motive factors O f the earth s formation The develop m ent of heat u nder the process O f formation may have maintained a considerable nebula ro u nd the earth at an e a rly period b u t not being an entirely neb u lar formation its m otion of rotation wo u ld be much slower than that calcul ated for Ju piter an d This S aturn if taken u nder purely neb u l a r conditions ma tter will be reconsidered in deta il fu rther on 1 4 7 The rotations O f Ven u s a n d Merc u ry wo u ld be s u bject to the same conditions as that of the E arth and Mars H ow far these planets may be form ed from neb u lar or from dis crete If formed from neb u lar matter it is i mpossible to s ay matter the motion would be greater than that of the E arth actually If for med from discrete matter prod uced by the general lowering O f the tempera t u re of the s u rro u nding neb u la to its critical temperat u re it wo u ld be less or these factors might act co nj ointly so that the rotation might be nil - r . , , , , ’ , , , ’ - , . ’ , , , . - , ’ . , . . . . . , . , , , . [ 1 10 ] C H A P T E R V III . — — A T ELL IT E D I RE CT M TI N S S O O ROT A TI O N — RET R O GRADE M O TI O N — CO M PAR I S O N O F O F T HE M O O N T HE R E V O L UTI O N O F T HE M O O N W IT H T HE RO TATI O N O F T HE EAR T H FR O M N ER U LAR CO ND ITI O NS RE V O L UTI O N OF . . . 1 48 . R l S f i evo u t on o a te lli te s w ith D ir ect M otion — In the . revol ution of satellites around their primaries under p u rely neb ular conditions , no other law could hold for the c onde n sation O f nebular matter than that which must hold for condensation u pon the primary ; so that if the motion O f the planet s perimeter were equ al to the difference between the li n ear velocities O f the inner and outer parts O f the primitive n eb u lar ring from which it was condensed , the satellite s revol u tion sho u ld be consistent with this under the same mo d e of formation Th u s , taking the satellite s distance and revol u tion period , the virt ual velocity O f the satellite sho u ld equ al the di fference O f rates of the extreme parts o f the ring , — previo u sly expressed as 2 7r(r r 1 ) A t the same time this m u st be taken as representing the angu lar motion O f the entire exterior neb u lar system w ithin which the satellite or satellites or any ring system as in the case O f S aturn were formed A s soon as the satellites were formed the condition given § 1 2 7 , for planet formation must hold in the c ondensation O f an attenuated system abo u t th e pl a net The motion and position of the sate llites if there are more than one m u st finally rest in relation to the plane t according to Kepler s third law the squares O f the numbers , ’ ’ ’ . . - , , , . , , , . , ’ , N O T ES O N T HE NEB ULAR T HE O RY 1 12 . any system in the aggregate Should agree with the an gular rate of motion of the equator of the planet and this wit h the moment u m of the nebular atmosphere surro u nding the planet from which the whole system of satellites is ass u med to be formed A S experiment we may take each of the satellites of S atu rn and of J u piter to be formed of eq u al quantities of neb u lar matter at about t heir present positions separately , and divide by their n u mber so as to find the mean place of the imaginary satellite we desire to consider as the u nit of the system The result of this is Shown in the following table , " , . , “ . T a b le of mea n R ota tion a l Velocities of S a tellite s 2 77 0 M ean p os it ion of li ’ - 7 1 . ) i S aturn s sa tel te s a nd r ng Ju pit ’ e r s sa t e llit es We see again in this an excess of velocity in the satellites of Jupiter which is consistent with the excess of — r motion over that derived from 2 7r( r1 ) O bserved in the planet This may infer an intrusion W ithin the nebula revio u s to the formation of the planet of a large mass of p matter moving with greater velocity , but so as to produce the same direction of rotation a s that of the original neb u lar ring as before proposed which is again consistent with J upite r s greater motion and abnormal m ass The difference Shown , however is made much less by taking the m ean motion of the satellites in conj u nction with their m asses , the outer satellites of J upiter being of ggre ate r mass th a n the inner ones A nd in the sam e manner the mass of S aturn s rings exceeds that of its satellites S O that this di fference would be 1 50 . ‘ . , ‘ , . , ’ . , again diminished , and W SH H1 wo u ld come as fairly to my RE V O L UTI O N O F SAT ELL IT ES 1 13 . theory as the conditions probably wo u ld admit of calculation in a system wherein there may have been intrusion of exterior matter cometary or other, during the formation — These small bodies move at a 1 5 1 S a te llites of M a r a higher velocity than the equatorial surface of the planet It is therefore clear that they co u ld not have formed a part of a neb ular system moving at equ al angular velocity with the planet, assuming the planet was entirely condensed from the nebula and moved originally only at its present rotational period B y the condensation of a nebular zone as defined above for the satellites of J u piter and S at u rn , the r otation periods of the satelli tes of Mars wo uld be made consistent by treating them as revolution systems § 1 2 7 It is clear however as before suggested th at w e have n ot in Mars a n ebulo u s condensation of the kind that w e have in the outer planets where the condensation has produced a mass of smal l speci fi c density The probability is that the nebula of Mars possessed at a certain peri od a rotation consistent with the revolution of its satellites but that the planet was of smaller mass , the whole system appearing as a p lanetary nebula That about this period the planet entered into col lisio n with one or more planetoids of smaller mass than itself w hi ch were previo u sly condensed to soli d form These plane toid s may have penetrated its neb u lo u s atmosphere without materiall y changing its rotational velocity , but have reduced S u ch collisions wo u ld that of the planet u pon collision develop gr eat heat partially liqu efying the solid planetoid and prod u ce by cementation with it a partial protrusion o f matter beyond the Sphere in which w e have an index of the surface confi guration In thi s manner , the momentum of the o u te r parts of the nebula would be maintained although the penetration by a planetoid to the centre wo u ld possibly ca u se su ffi cient dist u rbance of equili brium in the neb u la for the satell ite zone to i mmediately commence the formation of the satellite . , . . . . , , , , , . , . , . . , , , . , - . N O T ES O N T HE NEB U LA R T HE O RY 1 14 . The orbit position of a satelli te can only follo w Kepler s third law In a satellite zone O pen to a system of condensation at the ou t er radiation surface of its nebula moving at equal angular velocity, in which refracto ry matte r of the outer neb ul a condenses first the condensed units wi ll move through the resistance of resid u al gas under the infl u ence of gravity in spiral lines , until they reach the central condensation; u nless an orbi ta l velocity position is found accordin g to N ewton s Law and in this position the satellite must be formed; Therefore a satellite may b e formed at any distance from its planet If matter falling upon a planet possesses less tangential momentu m than that w hi ch produces orbital velocity at any position above the planet s surface satellite formation wo u ld be impossible as s u ch matter would fall to the body of the planet 1 5 3 T he M oon possesses a higher virtual velocity than the equatorial surface of the earth in the proport ion of 2 2 8 8 4 3 , the moon s mean ho u rly motion , to the ho u rly motion of the earth s equat or A ssuming the eart h system to have been entirely nebulo u s and the nebulous matter to condense in equal Shell layers over the ea r th , commencing from the time of the condensation of the moon from gaseo u s matter, decreasing in density inversely as the Square of the dis tance from the earth s centre then the earth Should pos sess nearly the sam e initial velocity a t its equat or as that of the moon i n its orbit assuming no friction of formation developed into heat upon the earth S surface at the time In many ways this is improbable , as the whole system does not confirm the earth s formation under entirely ne b ular conditions It is therefore probable that the earth s nucleus was a considera ble liquid , or partially solid , m ass before the time of the moon s early condensation Further the config u ration of the earth s surface indicates that it was probably formed in part by 1 52 - . ’ - . - , * ’ “ ’ , . . ’ ’ . , - ’ , ’ . ’ . ’ ’ ’ . , Pri ncipi a, Lib u , p rop xv ’ . . . . N O T ES O N T HE NE B U LAR T HE O RY 116 . orbi tal velocity the equilibri u m of its matter from tan g ential momentu m and gravity is such that irrespectively of its rotation , its matter may be considered to float on a frictionless plane ; so that the initial gravity of its mass acts directly upon itsel f Therefore if the nebular moon z one wer e unequally distributed , its condensation would be direct to the densest part S uppose the co n densed zone represented by fi g 1 4 a then its point of te nsion would be at an A ss u me this point to separate by the initial Slo w action of the entire gravity of the ring Then its matter near the point of separation woul d gather into tw o semi globular terminals fi g 1 4 b w I nitial , , . - , . , . . ' - . , Fi g 1 4 . , . . g ravity wo uld n ow act in opposition t o the direct momentum of the mass accelerating the velocity of the limb b and re tarding that of 0 S o that at some point about d th e ring would condense into a globular mass , by its extreme conde n s a tion s coming together — n t l o S a e li tes Th e conditions 1 5 6 R etr ogr a d e M otio f proposed for the direct mo t i on of the satellites pre viously considered as derived from the condensation of the gaseo us neb ul a , co u ld not possibly hold upon the hy poth esis given for the satellites of Uran u s and N eptune which move in the retrograde direction It may appear so far as the dire c tion only of this motion is concerned , that this wou ld b e demonstrated by the theory of M Faye 14 1, as due to thei r , . . . . , , . . , , RE T R O GRADE MO TIO N O F SA T ELLIT ES 1” . fo rmation from discrete m atter, the satellites being condensed from a ring of such m atter every particle of which was originally moving in a free orbit in gravitation equilibri u m this theory may possibly be applicable to the satellite s o f N eptune There are however many pec u liarities about the satellites of Uranus which do not admit of this hypothesis They move in orbits inclined nearly 8 0 to the planet s orbit plane so that the di fferences of velocity of the parts of the orbit of any assumed neb u lar ring or m atter caused by the di ffe rences of distance of its parts fro m the sun wo u ld be very small These conditions wo u ld therefore cause the satelli tes to revol v e at a very slo w rate that is , at about of that observed We must therefore certainly look , fig , for additional causes for which other suggestions may be O ffered 1 5 7 If discrete matter was formed at the li mits of the solar nebula , when this was moving at less than orbital velocity as before supposed , and the early discrete matter w as formed of the more refractory matter so as to leave the more attenuated less refractory nebula to form a resistance to the centralizing condensation of the discrete matter , then this matter m ight carry the momentum of its former ang u lar velocity to the i nner denser nebular matter which formed the s u n at the time , leaving the resid u al matter slowly condensing at less angular velocity S uch a system would produce a solar neb ula moving at higher velocity than its peripheral li ghter outward parts I have endeavo u red to Show in my work upon Fluids that e very fl u id system in rotation , cyclonic or other, en genders in the s u rrou nding fluid or m ed ium which o ffer s resistance to its direct motion an opposite direction of motion of rotation around its borders B y this action the central r otating fluid attains a kind of rollin g contact u pon the , . , , . ° ’ , . , , , . . . , , , , . * . . p 188 1, p 22 4 et seq . F t l R esearch es into th e Prop erties and M oti ons of luids, ‘E x e rim n e a . ’ N OT ES O N T HE NEB ULAR T HE O RY 1 18 . surrounding more static fluid , which produces by this mode of rotation the least frictional resistance to the motion , in what I term friction whirls to the direct flowing system Upon this principle if the central system in thi s case were co ndensing the more refractory pneuma into nebula wi th increase of angular velocity by the e ffects O f gravity then the surrounding less r efractory pneuma , less motive in the direction o fthe central system by the resistance of surrounding matter not moving at equal velocity or possibly in the same direction , would o ffer a ce r tain amount of resista nce at the periphery of the central condensation of nebulous matter This is shown by the lateral form of motion to a current fi g 5 p 44 ; it may possibly be better explained by a diagram L et one plane of the interstellar space , subject to the superl or , - . , , , * . , . , . . Fi g 1 5 . . attraction of our sun be represented by the Ci rcumscribing o u tline N fi g 1 5 along which line the sun s attraction is assumed to be in equ ation with that of other near stars L et S be the centre or sun ; and let the central nebula b e bounded by the circle 0 the arrow near the line showing the direction of rotation Then in the Space bounded by N on one side an d 0 upon the other th e matte r wo ul d be less motive than that of the central system ; and this w ould , ’ , . , . , . , N OT ES O N T HE NEB U LA R T HE O RY 120 . hypothesis it may be suggested that the contact form of reverse rotation may have been produced in a nebular con densation having either no rotation or a reverse being attracted into the sun s nebula S uch a condensation may have occ u rred in an interspati al position between the nearly equ al attractions of several Stars , as , for instance , ’ ’ in the po sition out w ards between I) and a or a and b of fi g 1 1 , p 8 8 If a nebula S O formed drifted by s mall excess of gravity towards our sun wh en it was in a nebular state it would enter the frictional system of the borders of the attenuated solar nebula The inertia of the newly introduced planetary nebula would resist the rotation of the solar nebula , which wo ul d therefore produce a motion of rolling contact in the meeting plane between the tw o systems as before sug gested , as the least frictional form of fl u id motion In this manner a kind of wheel and pinion motion would be induced , in which the smaller planetary neb u la would represent the pinion moving in a reverse direction to the solar nebula wheel , ’ . ' . . . , “ . - , . - . - [ ] 12 1 CH A P T E R IX . C O NS I DERED A s O RD INARY G RAV ITA TI V E MATT ER I N R O T A TI O N C O NS T R UCTI V ELY AS A PAR T O F T HE P LANE TARY S YS T E M CO M E T S . If w e can accept the idea of a universal pne u ma 2 3 , and that this pneuma was motive in rotation separating and condensing into separate systems , § 4 3 , a condition of original motion in m atter that may not be u nlike that pro posed in the theory of D escarte s and Faye then all separate parts of the system m u st contin u e motive under condensation to take up the gene ral moment u m of the sys tem 1 6 2 If w e consider the rel a tively small vol ume that wo u ld be circumscribed by o u r solar nebular syste m if taken to be in its original nebular state of spheroidal form at a period when it was circumscribed wi thin the orbit of Neptune as compared with the mean distance between our sun and the n earer surro u nding stars , we find what a relatively small space the orbits of our planets occ u py S o t hat if the original pne u ma at its earliest period extended to the mean of inter stellar space abo u t our s u n as s u ggested w e can only imagine that many millions of local condensations due to exterior r adiation were formed in exterior parts of the system These condensations wo u ld afterwards only Slowly drift sunward , b u t they would still carry with them the same fa ctors of original rotative influences and the influence of the attraction to near surrounding matter , as before disc u ssed 7 0 1 6 3 Therefore , taking the original pneuma system as Shown 16 1 , . , . . , , . , . - . , . S ur l O rigine d u M onde, 2 nd edi t ‘ ’ ’ . p 10 1 et seq . . N O T ES O N T HE N EB U LAR T HE O RY 1 22 . in one imaginary plane , fi g 8 A B (p extending to the mean distance of our sun and a near star w e can b u t imagine that at an early period there may have been many millions of local rotatory systems of m atter condensed to a neb u lar con dition in a free state which wo u ld be moving from the outer pneuma system from the positions a b c d sunward by central attraction W e may gro u p s u ch systems together as comets 16 4 In the above construction we may suppose that the cometary syste m was the earliest prevailing system of the outer condensation of matter ; that the comets which were formed by local condensation to nebul ae were most generally absorbed into the solar planetary system when this was of immense vol u me ; so that at a certain period our sola r system would have appeared if viewed from a great distance as an i mmense fl occu lar system wherein the exterior cometary condensation wo u ld appear incandescent from friction and electrical excitation within the interior nebular condensation , a n d from intense chemical action in the condensation of the pne u ma to nebula These flocculi would be drifting sunward by the e ffe c ts of their attrac tion and the small resistance of the surrounding atten u ated pne uma in spiral paths simila r to the Spiral nebulae 3 1 M , 8 1 M, 5 6 III, 1 6 8 131 &c , as before proposed A nother condition that must m ark the for mation of comets co n sidered as exterior conde nsations of the pneuma system is that tne directio n of orbits m u st have been influenced by the gravitational effects of the larger mass con densation forming at the time upon th e scheme proposed in 83 and ill u strated by fig 8 , p 5 9 Therefore , comets must have been forme d in m an y cases in series , from attractions a , b c d of this figure taking one orbit plane but with varying ec cen t ricities of orbit depending u pon the amount of ori ginal tangential imp u lse each comet possessed u pon starting sun ward as the conditions entail 1 6 5 Upon these principles the comets and come t a ry matter . , . , , , , , . . . - , , . , , . . , . . . , - , , , , . . , N OT E S O N T HE NE B U LA R T HE O RY 1 24 . grea t P rofessor Tait has endeavour ed to p r ove that such meteorites would be subj ect to su fli cient collisions amon g themselves to account for the light but if the meteorites follow one another in streams, there must be ve ry small di fferences of velocity between them and if t hey approach one ano ther assu ming the m widely distributed miles apa rt, their collisions must be very gentle and produce very little light, if any O therwise the observations of Mr D ennin g upon the B iela meteors Show tha t they possess great diffuse ness of radiation , so that their paths appear to diverge from an area rather than from a point of the sky , indicati ng inte r m otion among their separate units 1 6 8 There is another objection to the meteoric swarm theory which has not been attempted to b e met , or even suggested that I am aware of, which is , that the separate units of the comet must under the conditions of this theory , necessarily follo w Kepler s third law of orbital motion , that the s q uares of the members representing the periodic times of the separate meteorites must vary as the c u bes of their mean dis tances from the sun Therefore , assumin g any comet to have a t ail of one million miles in diameter as commonly observed for the larger comets the velocity O f the ou ter meteori te s of the swa rm must be very much less than that of the inner ones Under this condition if the comet were a n ear er the sun swa rm and at a certain period from some u nkno w n cause of the symmetrical form common to comets , as , fo r instance , that of H alley or of the great comet of S ept 1 88 2 , or oth e r P late III k i , j , as the parts of the swarm wo u ld b e actuated by various velocities it could re tain this form for a short time only S O that on its ret u rn to perihelion , fo r instance , it could only be represented at most by a scattered band of meteorites Spread over a great distance in space tha t could n eve r again appear as a comet To take a s elf evident . , , , . . , . - . , ’ . , , . , . , . , , . - . E din . R S oc Proc 18 79 p 36 7 . . . , , . . C OM E T S O E L O NG P ER I O D 12 5 . case of the conditions in question , assume o u r moon at opposi t ion to take a solar orbital motion without revol u tion around the earth then it is clear by Kepler s third law that we should soon leave it behind us in space so that it would become in time in conj u nctio n with the opposite part of our orbit Indeed the only condition possible for a meteoric theory in which a comet can retain a sy mmetrical form is that the system of meteori tes that form the comet should be in re v olu tion about the centre of inertia of the system moving in ellipti c al orbits in the same manner as the comet moves about the sun and as satellites are in revolution about their planets This will be more partic u larly considered presently — l o n r i o s o m t o e d The gene al principles of 16 9 C e r g p f directi on of orbit from local condensations at a great distance from the s u n have b een discu ssed 7 1 We have n ow , there fore only to consider the probable in termotion of the parts of such distant condensations as may possibly produce comets of the symmetrical form we observe in them u pon planetary conditions and therefore , such as are outwardly, as it appears to me evidently moving under the direction of symmetrical orbital law In the ex tens ive volume of pneuma considered as the extreme fi eld of comet formation which would be s u bject to the infl u ence of the near stars almost as much as tha t of our sun § 7 6 the centralizing infl u ence O f gravitation would h ave little effect in chan ging the nat ural formation of in divid u al systems of matter after they were once constituted Therefore , assuming original motion in the pneuma such as we have found necessary for the formation of our solar planetary system, 6 2 , such motion must, as before stated have extended to all parts of the solar pneuma If any original isolated system , of large volume in its original state were in slo w revolution with its parts moving at equ al angular velocity, then upon its condensatio n to a smaller volume its rotative velocity would incre as e , as p r evi ously discussed for solar ’ , , . , , , . . . , . , , , , . - , , , . , . , N O T ES O N T HE NEB U LA R T HE O RY 126 . rotation , 1 1 6 This r otation of any part of the system would be maintained in proj ection sunward and if in free matter projected from a great distance it would form a comet o f long period — 1 7 0 Come ts of s hort p er iod These possibly depended in many ins tances for their orbit upon deflection of the matter of the comets of long period by the influence of planeta ry attractions A t any early epoch such long period comets, m oving at high velocities by accumulated gravitatio n in falling from a distant p art of space , wo ul d fall into the solar planetary neb u la or into any deta ched z one ring of nebular matter which may have been present at the t ime moving a t orbital velocity ro u nd the sun In such a case the motion of the comet would be retarded by the nebulous matter and enter into composition wit h the motion of part of the zone or if not incorporated with it, it would be deflected by it from its original orbit into a less eccentric orbit Comets of short period would also be formed upon local disturbance at any part of a planet forming zone system by a local condensa tion forming at a distance W ithin the orbi t zone from the position o f the planet s condensation , whic h w as at the time beyond that of its prevailing attraction C ome ts so formed may be termed p la neta ry comets , and bear relation to certain planets as S atu rn , Jupiter, Mars S hort period comets were also probably formed by local condensations o u tside the mean planetary plane at the sam e period as the planets were formed when the planet s m ass was not the superior attraction wit h respect to the position of condensation They may also be formed by the detachment of parts of the tails of long period comets dist u rbed at perihelion by disruption of the cometary m atter by heat w hich retarded the revolution velocity of a part of the system 1 7 1 S y mmetr ica l elemen ts of Comet for ma tion — I have offered some general arguments for t h e construction and m otions of local rotative systems formed in space and pro . , , . . - . - . , , . - - - ’ . - . , , ’ . - - , . - . . 128 N OT E S O N T HE NEB U LAR T HE O RY . a head and forward proj ection of the coma of sym metrical outline after the manner o f h i j P late III 1 7 3 It has b een fully demonstrated that th e head of a comet follows a truly elliptic or parabolic orbit ; so that we have no do u bt that this part of the comet is subject to purely gravitation a l influences The di ffi culty presented by these bodies I s that the tail has not conformed to the conditions of orbit for the parts of a free system or as it should do upon the swarm theory This point will n ow be partic u larly discussed — i a s ra t t i v M t t r a a n s i e e d v e e r d The cer m t s c o G 1 7 4 Co e tainty that the orbits of comets conform to the laws of gravi This tation w as clearly laid down by N e w ton as a principle would lead us to infer that they are composed of quite ordinary gravitative matter whi ch is again to a certain extent con firmed by the spectroscope The reason w hy it is thought that there must be a deviation from this law (by O lbers B essel J H erschel and othe r s wh o have followed this idea ) is that during the perihelion passage of the comet , the tail which must be considered a very material part of the cometary mass diverg es g reatly fr om the n ormal elliptic or parabolic orbit 1 7 5 To meet this case , w e h ave bee n asked to assume that the tail is unlike a ny form of matter with which we are acquainted that it must be a n tigr a vita tive, or that it become s S O from some cause at or n ear the perihelion passage of th e comet It may be suggested that the law of universal gravi tation is one of the last we should abandon seeing that it has done such perfect service wherever our knowledge of the conditions was exact Further there are other suffi cient reasons by which we may conclude that there cannot be repulsion in any part of the comet, as the centre of gravity of the cometary mass follows constantly in the true orbit For if a portion of the cometary mass that is the tail cha nged ' , , , . , . . , . . . . . , . , , , . , , . . , . , , . . , i ts s ta te f o con s ta nt i a ttr a ct on so as , to become , un like other , N O T E S O N THE NE B U LA R T HE O RY 13 0 . from the sun, r ecovers its attraction or cohesio n s o as to re f orm the actual comet afte r perihelion as w e know fro m actual observation that it does I f we adopt the theo ry of electrical r epulsion as proposed ori ginally by O lbers and supported by B essel N orton , Z iillne r B re dichin, and others, which is n ow most pop ular , this in no way relieve s the difli cu lty If the tail is r epelled on approach of the come t to perihelion , with an in ternal separative fo r ce due to electricity of one Sign assumed to exceed gravity, it must necessarily be le ft behind , and can never r egain the orbit velocity of the head of the comet N ow this is precisely the opposite of what is requisi te to represent the motion of an actual comet ; what is r equired is that the comet Shall b e elongated at pe r iheli on fo r w hich the action of gravitation alone is sufficient , and that the matter of the tail shall have i ts velocity of direct projection in cr eased in suc h a manner that it sh all describe larger arcs at the radii of its separate parts from the head o f t he comet , to which the head remain s constantly as a centre during its perihelion passage It has been suggested that the tail forms a small pa rt of th e cometary mass and may be re formed from the matter of the head this is in the highest deg ree improbable , as it is no t necessary that a comet should even possess any head— fo r that which represents the he ad is o ften merely the centre of inertia of the cometary syste m which follows in its orbit , . , , , . . , . - . 177 Cond ition s u n der . w hich Comet may b e a con s id ered — P n B o d Taking the evidence of apparent con as a la eta ry y dition s of comets generally , we fi nd them immense vol u me s of what appears to be nebulou s matt er of somewhat sym metrical o u tward form Therefore evidently forming sy s tems of ma tter held together by internal forces w hi ch must in some way conform to the laws of gravitation and so far resemble planets We find comets otherwise of very small density as is evident from their not dist u rbing the orbit of a planet whilst passing near it T herefore , to account for such . , , . , . C O M E T S CONS I DER E D A s P LANETARY B O D I ES 13 1 . immense vol u me and small density in a solitary or planetary like system, we have in the first place to cons ider the possibilities of ordinary gravitative matter, which we now know it to be , being held together symmetrically by a system of forces wherein the matter i ts elf although this is in a state of very grea t tenuity remains practica lly an adhesive system 1 7 8 N ow , following the analogy of things known to acco u nt for an enormo u s di ffusion of matter from or abo u t a central attraction of gravitation , being eithe r engendered or maintained in an extensive nebula or planetary like system s u ch as a comet may b e considered to be ; we have only t hree known conditions which may so far react upon a gravitating or cen tr a liz ing force in matter to ins u re this state ’ of difl usion ten uity , or decentralization 1 H ea t for ces may s ep a r a te the p a r ts of a u nit sy s tem of mat ter to a ny d egr ee of tenu ity 2 E lectr icity of one s ig n , , , . , . - , , - . . may p se d m a tte r a r a te i iy r ea ter a ct v t g . s i mi la r l a tte n u a te . 3 . the ou twa r d p a r ts o f y to hea t b u t w ith T he ta ngentia l a ctio n of the r evolu tion of a i i r a v ta t ve s g y m a bou t a cen tr e or focu s s te may sep a r a te these p ar ts p r op or tion a lly to their ve locities d is ta nces f om the cent e r r a nd i g to t he la w of or bit to a ny a ccord n If we consider the probabili ty of the one or other of these forces being entirely or principally active in a cometar y system we find , with regard to the first tha t to maintain a degree of hea t su ffi cient to diffu se grav ita tive matter in a nebular form to such extreme tenuity as we witness in comets we m u st assume great intensity of this heat even if we assume the central attraction small Fu rther , for this hea t to act as a sep a ra tive force w e must assume a permanent a s eou s s ta te as heated solids co u ld not repel one another g , to prod u ce the observed volume Then again , if w e assume th e heat present t o be su fficient to acco u nt for the extreme di ffu sion necessary to produce the known ten uity , still w e have the diffi culty present that this heat will be subj ect to , , , , . , . , x 2 N OT ES O N T HE NE B U LA R T HE O R Y 13 2 . onstan t r adiation in space from all ex terior parts of the and t herefore the comet be s u bject to a constant s ystem loss of the d ecentr a liz in g force which alone in this case could support its tenuity A s w e know that the larger comets p a ss to very distant regions , where little heat can be derived from the s u n we can scarcely imagine that heat su fficient to maintain the enormous diffu sion of matter w e observe can be su ffi ciently conserved in their entire systems under the excessive amount of radiation they m u st experience in the clear cold regions of space S o that we must conceive that if the cometary state depended upon a force s ubject to s u ch radiation gravitation being constantly active within the system would within a moderate period reduce the comet to meteoric matter, which , owing to its reduced dimensions as solid matter , woul d after a period r emain in this state and become invisible to u s , unless projected very near the earth 179 F urther , if we assume the comet to be entirely gaseous matter w e can scarcely imagine a degree of internal heat in the system su ffi cient to r ender this that is the hydro carbon portion o f it , Visible , neither can gaseous matter reflect the solar r ays Therefore , upon the whole w e are led to consider the gaseous condition as highly improbable to account for the observed tenuity and at the same time the illumination of the whole comet as a Visible body O n the other hand it d oe s not appear improbable , with respect to certain comets , that s u fli cie nt heat is maintained in the n u cleus (in some cases , perhaps from passing very near the s u n ) to render this Visible in itself and s u fli cie ntly so also to illuminate the surrounding matter o f the comet and tail to some extent within a certain distance from the sun It is not necess a ry even to consider the nucleus a solid or liquid body It may be a rotation system composed of many parts reflecting light and yet transparent thro u gh the ex tent of the interspaces 1 8 0 The conditions under w h ich electricity of one Sign c , , , . , . . , , , , . . , , . , , . , , , . - . . . , N OT E S O N THE N E B U LAR T HE O RY 134 . lso may any of the outward parts of a comet , how ever small , revolve F urther , if this motive system is assumed for the comet we have the initial ene rgy in the system conse rved as there is n o loss as with h eat r adiation unless w e imagine resistance by a surrounding medium of which w e have no evidence from other plane tary o r cometary phenomena 1 8 2 If w e admit the conditions first s u gges te d as regards heat or electricity to be in a certain de gr ee active by this the nucleus of a comet may probably be heated or electri fi ed liquid or solid matter in unit mass or compounded of many meteorites surrounded by a gaseous envelope , although this heat can scarce ly be imagined to be sufficient to mainta in the larg e out w ard cometary mass of the tenuity observed N evertheless the n ucle u s would partly illuminate s u ch exterior parts a s I have suggested are in revolution abo u t it , but in this we have clearly the necessity that such parts to be visible Should be s o lid or liq u id matter and not gaseous Under this condition also the sun wo u ld illuminate the entire system In comets that pass very nea r to the sun it is presumable that thro u g h the great he at they receive near perihelion , any ordinary matter with which we are acquainted , and which might form part of the complete co met would be reduced at the time to vapour or gas in some cases possibly by explosion This being the case , about perihelion by radiation of heat received into space from the gaseous outward parts con d e n satio ns may occ u r in these parts abo u t separate centres again developing heat and electricity The units of conde n sation may for m sph e ricle s under the same conditions as clouds are formed in the earth system These would appear in mass as cloud and in this state wo u ld traverse the orbit of the cometa ry system forming parts of the coma and tail If the head of the comet was in rotation the condensed units w ould be in revolution at any extended position therefrom N ow , as r egards th e m ag nitude of each solid separa te part a . , , , ' , . . . , . . " , . , , , . . , , . , . C O M E T S C O NS I DE RED AS P LANE TA R Y B O D I ES 13 5 . or particle n ow suggested as an out w ard revolving part of the cometary sys tem this may be as small as we like to conceive it assuming its mass s u ffi cient to reflect a ray of Fo r the existence o f s u ch minute cometary white light matter we may possibly find some analogy in the system of small m eteors w hich revolve in elliptic orbits about the sola r focu s and which are sometimes brought within the attractive distance of the earth evidence of which is fu rther given by the cos mic dust dis covered in snow by P rof N ordenski b ld 18 3 A for m of particle which may be probable as a result of uniform condensations is that of a smooth b right metallic or Vitreous sphere , which is covered with a permanent gaseous condensation , O f hydrogen or a light hydrocarbon which under the sun s influence may produce a gaseous envelope in the same manner as the earth is surrounded by its atmosphere The refraction of the gas intensifi es the s u n s heat and light upon it R efraction and reflection will carry over pa rt of the light to other s u ch globes at greater distance from the sun F u rther , when the comet is su ffi ciently near the sun for its h e at to render the gas , if hydrocarbon incandescent in th e pu r ely isolated state , the comet may possibly be come self lumino u s The change of state from the solid or liquid to th e gaseous will also develop electrical conditions which may render its matter temporarily luminous w h en approaching the sun or receding fro m it by the e ffect o f after cond e nsation 1 8 4 If the exterior cometary matter in separate particles , as proposed is in rapid revol u tion in v ery elongated e llipti cal orbit round the nucle u s of the comet which I assume is necessary to maintain the extent o f what we may t erm the cometary vol u me o f th e ten u i ty O bserved , then this revolving matter may be projected in elliptic or bits ei ther as separate particles (sa tellites ) or more probably in accu mulatio ns o r , , ‘ . , , , ' . . , , ’ , . ’ . . , . - . . , , , , g ‘V o a e of h e t y V ega N OT ES O N T HE NE BU LAR T HE O RY 13 6 . series in one or more connected gravitative systems in the fo r m of more or less perfect rings or bands , the orbits of which , about the head of the comet may c u t the solar cometary plane at all angles I will n ow endeavour to trace diagramm atically what would be the action of s u ch a syste m w hilst moving in an elliptic orbit round the sun 1 8 5 Comet ta i ls — T r a ins — Under the gravitative con dition s proposed , the word ta il will be entirely a misnomer , as the matter which forms the tail of the exterior parts in revoluti on about the n u cleus is assu med to change positio n and become at another time part of the head I will call the revolving parts of the head the p er icoma , and the extreme of the tail the ap ocoma F or the entire comet except the nucle u s , I will use the wo rd tr ain, which has been someti mes employed before 1 8 6 F ollowing the conditions proposed , that the comet is made up of separate parts moving closely together in rapid revolution around the n u cle u s , we must then assume by the la w s of gravitation , that the centre of gravity of the mass held by m u tual attractions will be constrained to follow an elliptic path for its orbit B ut the separate parts of the system which together form the tr a in may describe elliptic curves about their common ce ntre of gra vity tha t is the n u cleu s , modified by their mu tu a l a ttr a ction s to ea ch o ther , in com bina tion This may be taken in detail with the a ttr a ction of the s u n 1 8 7 E longa ti on of the en tir e Come ta ry M a s s n ea r P er i — N o w , as regards th e proper motion of the syste m of he lion the co m et constituted as suggested , w e may consider that the velocities of its separate o u tward parts , as of all planeta ry systems including satellites , are such that the areas described by the radii vectores are proportional to the times— that is , in relation to their own focus and so far as this system is undisturbed by other attractions F u rther we kno w nothing in astronomy of resistance by a surro u nding mediu m there fore , however small we assume the exterior s eparate parts , . . . - . . . . . . , . , . . . , . , N O T ES O N T HE NE B U LAR T H E O RY 138 . particle b a central particle and c a following particle Then will the velocity of a b e greater than that of b at the period of approach towards the nucleus , and b greater than c proportionally to th e lengths of curve describe d by their radii , , . Fi g 16 . . vectores in unit of time ; so that as th e come t approaches the sun its mass system o r volume will be elongated in space in proportion to the excess of attraction to its forward parts by acceleration of gravity over its foll ow ing parts A nd under these conditions the greater the ecc entricity of the orbit , that is the greater the accelerat ion at perihelion , the greater the length of the trai n of the comet S o that the out w ard form of the comet w ould in degree , so far as prese nt conditions are considered resemble i t s own orbit i n form 1 8 9 Under the above conditions we may observe that in considering the cometary mass as n ot u pon the whole being in revolution , all the parts in any plane would follow each other in elliptic orbits about the sun and although the tail or following part would constantly increase in length in approaching th e sun , it wo ul d not d iverge from the s u n in passing near it , or the separate parts move out of thei r s eparate solar orbits as gravitation units Therefore there must be present as generally admitted othe r conditions t o account for the divergence whi c h is universally observed In this proposition it is ass u med that it is possi b le for the outer parts of the comet at greate r dis tance from the sun t o possess the same orbital velocity as the in ne r part s movi ng nea rer . . , . , . , , . , , . O RB IT S or OUT WARD PAR T S O F A C O M ET 13 9 . to it, so that the fi gu re of the comet may be conse rved as erroneo u sly assumed by othe rs in the discussi on of the S warm theory, in opposi t ion to Kepler s third law 1 9 0 O r b its of the ou tw a r d p a r ts of a Come t F o ca l P oin t — W e may n o w follow the c onditions just propose d and assu me that the comet resem b les a planet s u rrounded by a co n nected revolving system of m a tter equ ivalent to a system of satellites or to S at u rn s rings this revolving matter being meteorites d u st or neb ulo u s matter and that the revolving mass ( which I have denominated the train ) will not only be sensitive to the attractions of its own parts and its nucleus or the centre of inertia of the system b u t also to the attraction of the sun at the same time Then , as the sun s attraction will not be linea r w ith the m aj or a xis of the come t s ma s s in its assumed elongated form , the outward p a rts of the train which are projected forward of the nucleus d u ring their r otation will be accelerated and be drawn towards the sun and if the motive direction of these is inwards towards the s u n as it will be in the exterior part in revolution in the solar cometary plane about the nucle u s these will be d r a wn to w a r ds the n u cleu s a ls o ; and in the smaller arc thereby induced by increased attraction will have their velocity accelerated (Kepler s second law ) In this manner although the matter of the train will be elongated in space by the di fferences of velocity of its parts in passing over separate portions of the curve described by its radii vectores still the nucle u s of the system will maintai n a positio n at the for w ard focus of the o rbit of the train , and parts of the train will be induced to move in an orbit round its nucleus or the centre O f gravity of the system which will closely resemble that of the su perior orbit of the entire come t in moving round t he sun This matte r may be better conceived by reference to the diagram fi g 17 L et S be the sun , C the n u cleus of the c omet , a a pa rticle movi ng in its orbit in the s olar cometary , ’ . . . . , ’ , , , , , , ’ . ’ , , , , - , ’ . , , , . . - N OT ES O N T HE NE B U LA R T HE O RY 1 40 . plane , sh own by an elliptical outline D raw a line th rough the centre of the s u n and through the nucleus of the comet to represent the linear direction of on . , Fi g 1 7 . . shown b v the outline Then will the combined of the sun and the nucleus exert greater attraction upon a particle in this position a a s the comet approaches ne arer the s u n than was exerted upon it at the same position of the orbit by the n u cleus only , and s u ch attraction will cause the particle to move faster and nearer to the nucleus , o r inwards in a direction from a towards the point a In such a position its forward radii vectores in relation to the comet s centre of inertia will be closed and its v elocity increased proportionately to the lengths of curve now described by its smaller radii vectores It will th us also m a in ta in the n u cleu s a t i ts fo ca l altho u gh the cometary oin t within the comet p mass be elongated by th e increased velocity of its forward parts at pe ric oma as Shown above 1 9 1 D ir ection of the Com eta ry T r a in in R e la tion to the S u n — B y the above conditions it w ill be seen that the separate particles of the train of the comet will be actuated by forces which wil l be the resultants of the combined attractions of the sun and those of their own proper nucleus , the pericoma of the train , if this p rinciple is admitted , moving . , ' . ’ , . , . . - N O T E S O N T H E NE B U LA R TH E O R Y 14 2 . be mutually attrac ted in s eries in the same directi o n There fore the particle d , fi g 1 8 , will be both accelerated and be drawn at the same time towar ds its nucleus C, an d by the c u rve of its smaller radius vecto r it will pass neare r the nucleus with greatly accelerated speed 1 93 N ow , as regar ds the attraction of its nucleus an d the velocity engendered in particles moving about it by the attraction the velocity would be m aintained , varyi ng only in inverse proportion to the squares of lengt h O f its radii vectores onwards to e bu t from d to e the sun s attraction wo u ld s till dra w the p a r ticles towa r d s the come tary n u cleu s , so that throughout perihelion passage the curvature would be in a certain degree mainta ined as at perihelion , directin g the particles of the train thereby towards the point a The apparent e ffects of this will be that the whole mass of the train considered as an elliptic mass in revoluti on will be as it were pulled forward in the direction of its rotation , and whirled round in space s o tha t the p os ition of the s u n s centr e . . , . . , - ’ . , , ’ con s ta n tly m ay be m a in ta in ed line a r w ith the the tr a in tha t p a s s lea s t diu s ra and f f the whole train of the comet although describing an e llips o epicycloidal curve , w ill be as far a s possible constantly symmetrical about the nucleus the orbit of the train thereby ch anging to make this possible fro m the positions Z Y to ” ” ’ ’ Z Y Y Z when the nucleus of the comet arrives at positi ons ’ " C C and C Under the above stated conditions the r evolving matter of a comet passing its perihelion will possess much greater absolute velocity than the centre of gravity of the comet Therefore a comet may pass very near the s u n s s u rface with momentum too great from this self rotatory velocity for its matter to be materially disturbed by slight resistance of attenuated matter, if s u ch exists about the s u n 1 9 4 Wide n ing a nd Cu r va tu r e of the T r a in by cros s ing 0 r b its —O ne other point to be considered un der the co nditions vector o the p a r ts o n ea r e s t to it, , , , , - . ’ - . . . W I DEN IN G or T HE T R AIN B Y CR O SS IN G O R B IT S ‘ 14 3 . given above is that the newly placed pe ricoma at every change of position in relati on to the cometary nucleus as it becomes directed towards the s u n will infl u ence the parts of the t rain only in proportion as they are accelerated There fore , the parts of the nucleus which have just passed the r ic o ma will have the a ccelerative force due to the sun fully e p impressed upon them whereas the parts arriving there will not be S o fully impressed but will retain a part of the force due to their initial velocity in relation to the previous position to the n u cl e us at the la st time they passed between it and the s u n Therefore the following parts will not maintain q uite a symmetrical position with respect to their future ri co m a but wi ll la e i behind this posit on so that the general , p g path of proj ection of the train will be constantly of greater curvature upon the exterior of the orbit than in the par ts nearer to the sun 1 9 5 If the matter in r evolution about the cometary n u cleus revolve in different periods according to Kepler s third law , as the planetar y matter about the sun does , then the orbits , , . , , . , , . . ’ . Fig 19 . . of the parts of lea st period of revolution , which will be nearer to the nucle u s will appear to lag less than the outward parts of longer revol u tion perio d about the nucleus so that , , OT ES O N T HE NEB U LAR T HE O R Y 1 44 N . by this means a crossing of orbit will occur producing eith e r a w idening or Op ening of the ta il Under these conditions also possible collisions may occur , producing complic ated e ffects impossible to follow here F ig 1 9 represents the normal conditions in the solar cometary plane whe r e the crossing orbits are assumed to be conserved 1 9 6 L et S be the sun C the cometary nucleus , d r ep r esent the orbit of a particle of early revolution , e th e orbit of a particle of later period A fter perihelion of the entire comet in rel ation to the s u n this system of forces, by the changed dispositions of attractions , will act inversely 1 9 7 F or ma tion of a n ew H ea d or P er i cep ha liq n a bou t — s o P a t o m e t Unde r the above con itions l i o n a s e h e C P er ihe d g f , independently of the complication of motion o f cometary matter moving in orbits not in the sola r cometary plane the conditions of which have not been separately considered , i ncidental phenomena must occur which will more or less — A s the sun causes d isturb the general conditions thus acceleration to the parts of the train in approximating thei r and retardation to these e ri co ma in relation to the head p parts in leaving it the m atter of the train will be more con de n s e d round the head in the point of pe ricoma of the system and thus form incipiently a n e w hea d, which will react by its gravity as a secondary o r false focus , an d in its turn , by maintaining the centre of gravity in the come tary orbit will tend to dist u rb the position of original matter that formed the original focus A t the same time , if the comet passes very near th e s u n , the head by th e great heat it receives , will be expanded or even exploded so that it may become a less dense mass ; or even n e w heads may be again formed forward of this with a general relative disturbance of the internal gravitation in the parts of the cometary system, the conditions of which are too di fficult to follow 1 9 8 It is a t this point where , a s pericomi c matter increases in density a t the head of th e comet, and heat force s , and , . . . - . , . . ~ , . . . - , , , , , . , , , , . , . . 1 46 NO T E S O N T HE NEB U LA R T HE O RY . illuminat ed by the heat o r electrical excitation engendered through constant collisions , also by the heat of the n u cleus , and by that of the sun on the side turned towards it There fore the light we receive by reflection will be proportional to the amount of ill u minated surface of the revolvi ng particle s visible to u s, and the direct light that of incandescence In this manner the nucleus itself may become invisible or dimmed by eclipse of revolving incandescent matter about it O n the other hand the light received directly from the nucleus will be proportional to the O pen Spaces only between the outer revolving parts crossing the fi eld of light F rom these causes it is possible that some of the most remarkable appear a n ce s of projection of cometary matter suddenly from the nucleus through immense distances may be m erely the lighting of the distant parts of the train of cometa ry matter thro u gh interspaces of the central system upon dispersed matter which , although present , w as previously invisible t o us 2 0 1 The matter of some comets , of which E ncke s is perhaps one m ay be a carbon hydrogen compound , which in the distance of space , as at aphelion , may be condensed to particles of solid matter , but in n earing perihelion may be a gain converted into gas by the heat of the s u n with develop ment of incandescence through electric excitation Sufficient to render it visible This m atter may again con dense i n passing towards aphelion the orbit position of the separate units of the system remaining the same with the electrical — e ffects of change of State the apparent o u tward v isible v olume of the comet varying according to the conditions observed . . . , . . ’ . - , . , . [ ] 14 7 C HA P TE R X . — TH E EAR T H CO NS I DERED IN E VI DEN C E O F F O R M ER NE B U LA R — IT S I N T ERNAL FL UI D IT Y — T I DAL FR IC C O ND ITI O NS — TI O N CHANGE O F FI G U RE D U E T o RO TA TI O N . . . . may be c onsidered as a model planet whereon we are able to observe the evidences of exterior conditions which are d ue to phenomena that have acted u pon it to prod u ce its present form a nd constitution In this study we may possi b ly approach the conditions which also ruled i n the formation O f all the dense planets interior to Jupiter , of which we can possibly obtain no further evidence of stru c ture than that apparent upon the s u r face of Mars and the m oon 2 03 To assure o u r premisses for earth struct u re it will be convenient briefly to recapitul ate some general propositions that have been a lready discu ssed which we may possibly accept as data for certain factors of early formation The most important of these are — 1 That the sol a r planetary syste m during condensation possessed more or less nebular matter projected abou t its equatorial zone as represented diagrammatically by the discoid for m in fig 9 p 6 7 2 Tha t the ten u ity O f the planet form ing syste m interior to Mars upon the condensation of the sun s vol u me , w as too great to support the nebulous concrete state at a period when the exterior solar neb u la was falling below its critical te mperat u re S o that within the orbit of Mars local separate con d e nsations we r e formed a t first of the more refractory matters L2 202 . T he E a r th . . - . , . - . , . - ’ , . . . N O T ES O N THE NEB U LAR T HE O R Y 1 48 . widely exterior to the earth s orbit 3 Tha t at the early period when the intra Mars local condensations were fo rming th e earth s nebula w a s still attached to the sun 14 6 ) 4 That the exterior local condensations of matter at an early period were drifting s u n w ard into the earth s nebula and towards its orbit position in moving u nder the resistance of the s u rround ing less refractory nebulo u s m atter S o that the earth during its form ation at no time extended in an entirely u ncondensed n ebular form so far as the orbit of Mars 5 That the earth s formation being partly but not entirely d u e to the condensation of gaseous matter as assumed herein o f the planets J u piter and S at u rn a denser system w as prod u ced 2 04 Under the above stated conditions we have the suggestion of tw o large factors of earth form a tion — An interior nebular system about the earth s orbit of p u rely gaseo u s elements , which were sinking a t the period of forma tion to a critical point of temperatu re and impressing their virtual momentu m upon the e a rth in the direction of its r otation u pon principles already disc u ssed 1 2 8 , and an exterior condensation system of meteorites or planetoids w hich were projected into the earth s nebula These as bodies moving in nearly free orbits that is u nder slight resistance of the resid u al neb u lous matter, dri fted into the earth s nebula in spiral O rbits that upon contact with the t h en forming earth may have produced e ffects which continue to be e vi dent upon its s u rfa ce It is necess ary in this matter to insist upon the con tinu an ce of neb u lar conditions d u ring the greater part of the period o f the form ation of the m a ss of the earth a s s u ch con dition s alone co u ld have prod u ced its present direction of rotation as it w a s shown originally by D escartes a n d Laplace and with equal clearness by M Faye that if it were formed from an entirely discrete system of matter moving in free orbits its direction of rotation would be the r everse of what it is ’ . . - ’ . ’ . . ’ . " . - . ’ , ’ . , , , ’ . , , . . N OT ES O N T HE NEB U LA R T HE O RY 1 50 . upon these conditions , evidences of a highly heated liquid interior If the planetoids , large or small produced 2 0 7 S econ dly by the condensation of matter exterior to the earth s neb u la were incorporated therewith when the earth became a liqu id planet t hen s u ch matter within or u pon the earth s surface might pos P articularly such planetoids s ib l remain geologically evident y as may have drifted to the earth s surface when all the denser matters of its neb u la were condensed Under the se conditions it remains probable that some land areas of the earth may Sho w evidences of this discrete form of condensation These conditions are so far act u al that we have still planetoids , that is , meteoric matter falling to the earth 2 0 8 The nebular conditions which upon the theory herei n proposed would have been constantly active at an early eriod of earth f ormation require consideration n detail i p Th ey will therefore be deferred to another chapter wit h the exception of the arg u ment upon which they must be Supported o f the entire internal fluidity of the earth This als o is necessary for the consideration of the effects of later discrete projections u pon the eart h to be discussed in the following chapter as I suggest that these discrete proj ections were coincident with nebular condensation and may remain at present evident in land formation — l l t This could not be 2 0 9 T he I n ter n a F u id i y of the E a r th questioned for a moment i f the evidences of observation were alone considered , but in th e contempora ry science of any period w e have generally in popular learning a tendency to depart from concrete observations directed to consider some hypothesis or isolated fact which is elevated to predominance abov e all the natural conclusions of otherwise uni versal observations I remember , when a cool sun was the prevail ing theory , arguing with a professor that the intense heat o f that body was manifest in many ways H is reply w as that that was nothin g to the pu rp ose if th e sola r spots we r e found - . . , ’ , ’ . ’ . - . , . . - . . , , - . , . . , . ’ . T HE I NT ERNAL FL UI D IT Y O F T HE EAR T H 1 51 . ’ to be hollow places or cavities in the s un s surface as they were dark they must be cool and science m u st take account of every phenomenon If experience teaches u s anything it is that theories cha nge with every phase of science so that our sa fety if w e are seeking truth lies in taki ng the mean evi dence of all rel ativ e phenomena not of any single pheno menon which w e may or may not perfectly comprehend The most i m portant evidence of the former nebular con dition of the earth besides its direction of rotation is to be fo u nd in its interior condition ; for it is certain as just stated that the matter whi ch forms the earth if it pre v iou s l existed in a gaseous or vapouro u s state must have y been c ondensed from this state to a liquid with great development of heat The density of the syste m also cle arly indicates that the inter na l matter if at a high temperatu re is most probably meta llic N ow as it is the p r operty of metals to al loy and also to conduct heat it is in the highest degree improbable as sometimes s u pposed that any part of a u niform sy stem of condensation as that of the earth co u ld b e for ages intensely heated in some interi or parts and cool or solid in other parts It therefore becomes a rat ional con dition of the nebular hypothesis that the interior of the earth was or is in a highly heated uniformly liqu id condition 2 10 If the e a rth at an early period condensed refractory metallic matter to form an inte n sely he a ted globe while this w a s surrounded by less refractory matter and partic u larly by oxy gen , ne a r the surface then the globe would be formed m ainly of the refractory matter and be covered with the oxidized matter U pon its fu rther condensation The oxidized matter m u st necessarily have rested u pon and o u twardly covered the metallic m atter so that possibly at a very early stage of condens ation there w as a metallic uniformly heated globe covered with a coating of non conducting oxidi z ed matter as we fi nd it at present although t his coating at an early period wo uld be very much thinner than it is now . , , , , . , , , , . , , . . , , , , , . . , , . , , , , . , - , . 1 52 N OT ES O N T HE NEB U LAR T HE O RY . AS the earth cooled the coating must have increased b y condensation and protected the earth more and more from radiation of internal heat until it w a s possible for water to rest u pon the earth ; so that the heat of the interior must have been protected by non conducting material highly heated from chemical combination in such a manne r that it could only very Slowly radiate its heat into space Is the inte 2 11 We now arrive at an important point rior of the earth fl u id " F rom mathematical physics alone in the accepted theory of the tides L ord Kelvin o u r greatest authority , says that it is solid , or the tides would not present the great variation of height of sur face which w e witness This m atter is repeated with a u thority in the recent compilations of L ord Kelvin s works There is one point of this theory at least which astronomers ought to be able to solve L ord Kelvin shows that the necessary result of tidal friction is that the earth s rotation must be decreased by a total value of twenty tw o seconds in a cent u ry ; and the establishment of this as a fact might tend to prove the certainty of the e ffects of tidal friction upon the earth , and at the sa me time possibly, if we had no other direct observations to consider , of the earth s solidity If we depart from physical theory and follow the evidences of astronomy by observation , wherein the data are results of experience not liable to receive m u ch correction from change of theory we have undo u bted au thority from observation that the rotation period of the earth considering the moon and Mercury particularly as time keepers , has no t decreased b y a Single second in a thousand years 2 1 2 If we follow the evidences of geology founded upon observation th e solidity of the interior of the earth appears to be quite impossible u nless w e assume an unknown fo rm of which does not become fluid at a high temperatu e r matter We need only cite a few instances to Show the improbability - , , . . . , , . ’ . ’ - ’ . , , - . . , . it P rof O J L o dge . . . . R e vi ew in N atu re ’ , J ul y 2 6 , 1 8 9 4 . N OT ES O N T HE NEB U LAR T HE O RY 1 54 . is derived from t he uni formly h eated state o f the central matter of the globe 2 1 3 The evidence of the thermometer , w hic h shows that there is a general increase of temperatu re with depth of abo u t 1 Fahr for every 6 0 feet where freedom from the infl u ence of percolated water permits this measureme nt to be made ° gives an increase of t emperature o f 8 8 per mile so that at about 2 00 miles we sho uld have at this rate a te mperature of which no known body could bear while reta ining a rigid state It is not , however, necessary to consider a constant increase of heat if the central volume is metallic , as herein proposed for a good heat conductor wo u ld distrib u te h eat equally in the interior The followin g suggestions may be o ffered as regards the in t ernal liquidi t y of the earth . . ° . , , , , . , . . Fi g 2 1 . F ig 2 0 . . . Is the assumption of the solidity of the eart h n ece s sary to account for tidal action " H aving devoted some years to the consideration of motion in fluids I find that the mobility of liquids depends greatly upon the freedom of surface, which adapts it to O ffer certain fo r ms of accommodatio n for motio n 2 14 . , T HE INT ERNAL FL UI D IT Y O F T HE EA R T H 1 55 . for which time is required S o that a dense liquid held in equilibriu m by surro unding pressures s u ch as we may i magine the interior of the earth to be , o ffers considerable resistance to deformation through molecular friction in moving from a state of relat ive rest u ntil certain forms of accommodation c an b e bro u ght about which are nearly im possible i n a close sys tem In fi ring an E nfi eld rifle bullet directly u pon the s u rface of water the point of the bullet does not pier ce the water, but the water pierces the bullet and reduces it to a thin conical shell Fig 2 0 sho w s a full size section of the bullet Fig 2 1 was taken directly from this bullet fi red from an E nfield rifle normal to the surface of water thro u gh a thin piece of bladder in the end of a deep tank The point of the b u llet w as painted red , and left to dry The colour upon the point was fo u nd spread out to the ex treme circumference where it formed a curled u p edge as shown in the fi gure a a a The centre of the fi gure Shows the pressed out diaphragm of the b ullet, which was reflected from the surface of the water so that it forms no part of the scheme The velocity of the earth s surface at its equator is much greater than that of the bullet ; therefore w e have to consider accommodation in the waters of the ocean and of the liqu id interior for displacement in relation to time in order that it may possess a certain form of possible motion of a ccommoda tion This presents a di ffic u lt problem the factors of which are for the greater part quite unknown If, on the other hand the deformation under the moon s attraction is considered to depend u pon the elasticity of the system then a solid is quite as elastic as a dense liquid under great compression , so that neither solidity nor liquidity could be inferred from this cause G old or steel in a solid state is much more yielding unde r pressure in con fi ned space than wa ter, as is proved i n . , , . , * , . . . . . . - , . , , . ’ , , . . , , ’ , , . as Fl id p 18 7 ‘ u s, ’ . . , N OT ES O N T HE NEB U LA R T HE O RY 15 6 . the coining of metals , in contradistinction to the compression of water in the hydraulic press 2 1 5 Judging from the constitution of meteoric matter that has fa llen u pon the earth , assuming cosmic matter in a certain degree general the centre of the globe wo u ld b e largely c o m posed of nickelifero u s iron A s regards this m atter we have not been able to p roduce any temperature in our fu rnaces high e n ough to melt it, so that assu ming this formed the larger part of the interior of the e arth upon which the surface ro cks rest the white heat of volcanic matter as it issues from the s u rfa ce of the earth taken as an index of the interior tempera ture would only be s u fficient to raise p u re iron or nickelifero u s iron to a stiff plastic State , as iron in forgi n g offers very great resista n ce to change of form u nder great s u rrounding pressure 2 1 6 It is certain that the earth s rotation upon its axis is co mbined w ith that of the rotation about the centre O f inertia of the earth and m oon therefore there m u st be a swing in th e free s u rface of the ocean due to its pl u s and min u s daily a n d mon thly rotation velo city in rela tion to its position with respect to the m oon , which must prod u ce tidal action in the free s u rface water B u t h ow far this plus momentum in one part is c ompe n sated by the min u s momentum in another m ay be a di fficult problem to solve O n e m u st, however, feel in this , as in other instances with which history furnishes u s that in the intent o b servations and calc ulations of certain a ctions we are liable to lose sight of the reactions that are not super fi cially evident or may be u nknown S o th at i t becomes a q u estion whether the motions within and abo u t the earth moving in its orbit in frictionless space seriously affect its general momentum of rotation taken in a wide astronomical sense so that w e m a y infer its internal condition therefrom Certainly t aking the matter in its entirety w e cannot suppose it to deviate greatly from N ewton s Third L aw Cor iv : The common centre of gravity of tw o or more bodies does not . . , . , , , , . ’ . , - . . , ' . , . , , , ’ , . . N O TES O N T HE NEB U LA R T HE O R Y 1 58 . Cha nge of Figur e of the E a r th d ue to R ota tion veloci ty If there are suffi cient scienti fi c data to assume that our pre sent day is longer than forme rly , of which there appears to be a probability only within very narrow limits , then this , so far as concerns the present investigation , points to the co e l u sion that the mean symmetrical figure of the early earth as a Spheroid of revolution must have been changed b y this condition and have been at the time of g reate r rotation l velocity more oblate Upo n the nebular condition just dis c u sse d, the difference could not have been great The effects of contraction of the equator under decrease of velocity, i f we may take it at the extreme value accepted by some scientists , was ably discu ssed in a paper read by Mr Wm B Taylor before the P hilosophical S ociety of Washington , May 3 , 1 8 8 5 2 1 9 Mr Taylor takes the very extreme condition proposed by P rof G H D ar w in of a rotation period of six hours , which must have produced an elevat ion of land at the equator one tenth greater than at present, assu ming the earth to have been a true spheroid of revol u tion H e fi nds that this would make the equatorial radius 43 59 miles and the polar radi u s 3 2 9 1 miles only The pole would he therefore 6 58 miles nearer the centre and the equ ato r ial protuberance 3 9 6 miles higher than at present Mr T aylor suggests that this w ould acco u nt for all the cru m pli n g an d inclination o f strata and the elevation of mo u ntain chai n s It is v ery doubtful whether it wo u ld do so ; the mean inclination of strata at all depths is probably not less than and this could not be prod u ced even with one tenth the equatorial contraction , supposing the inclina tion in the past const a ntly increa sed instead of oscillating locally u p and down d u ring all geological time , w hich mu st have been the case from local volcanic disturbance that is quite evident in extreme cases by some strata bei n g quite over 2 18 - . . _ - . . . . . . . . . . . . . . . - . ' A meri can Jou rn al of Sci ence, 3rd s eri es, v ol xx x p 2 49 . . . . C HAN G E O F F I GUR E O F T HE EAR T H 1 59 . thrown and inverted Nevertheless it may be much more a ver a ca u s a tha n the contraction theory of the late R obert Mallet It may have been a cause of elevation of land in the tropics as an early condition b u t it m u st have been m aterially modified by the condensation of nebul ar mat te r at the poles which I shall propose fu rther on 2 2 0 The e ffects o f the rate of rotation of the earth upon its oblatenes s app ear to have been first s u ggested by the Re v O Fisher , and carefu lly considered ; but he regards the m ‘ as very slight In his interesting work on the P hysics of the E arth s Crust he s ays The friction of the tides whether oceanic or bodily must necessarily have diminished the rotational velocity and lessened the oblateness The p a rts of the crust about the poles wil l have been s u bj ected to stretching and those of the equator to compression There is , however no apparent reason immediately tO connect the inequ alities with this cause , for the continents do not occupy an equ atorial belt as they wo u ld do under this hypothesis , nor have the polar regions been free from the compression which all continental areas have experienced This fact appears to me to be a sound objection to the whole hypothesis of a former rapid rota tion of the earth, seeing that the know n geological evidences of early stratification are directly opposed to it . - . , . . . . . ’ ’ , , . . ' , , . Ph ys ics of th e Earth s Crus t, C h ap xiv p 1 8 3 ‘ ’ ’ . . . . [ 1 60 ] C HA P TE R XI . S U G GES T ED S U P ERFICIAL C O ND ITI O NS O F T HE F O R M A TIO N O F T HE E AR T H, PAR TICU LARLY T H O SE D U E T o D I S C RE T E C O NDENSA TI O NS WH IC H M AY HA V E BEEN F O R ME D PR IN CI PALLY BE T W EEN T HE E AR T H S O R I G I NAL NEB U LA Z O NE AND T HE O RB IT O F T HE P LANE T MARS ’ - . F or ma tion L a n d a r ea s b n l u s ion o i c P l a n t e o i d s f y f ’ i nto the E a r th s S u rfa ce —In this chapter it will be convenient , 221 . o - . in order to simplify the subject to take the conditions which were proposed s econd ly 2 0 7 ) of the factor of earth formation from pla netoid m atter deferring the more importa nt con sideration of neb ular formation until the next chapter The fall of m eteoric or planetoid matter which may have been for m ed originally by condensation in a part of the space interval between the earth s original nebula zone and Mars will be now considered 2 2 2 A ssuming the discoidal system of our sun s nebula shown in fi g 10 p 8 5 we should have between the earth and Mars a t hin attenuated neb u lar plane , in which local con de n s a ti o n s would occ u r similar to that before s u ggested for the system of asteroids U nder certain local conditions such conde n s a tions m ay have ass u med an y possible dim en sions of m a ss according to the amount and disposition of the surrounding nebular matter and to its ini tial motion being dire cted so as to form a centralized system or otherwise Upon these conditions any local condensation would form se pa rately what w e may term a small planetoid or merely an isolated u nit of impalpable d u st , - , . ’ - ’ . . , . , . , . N OT ES O N T HE N EB U LAR T HE O RY 16 2 . peri h elio n position w it h t h e ea rth s plac e at th e time of internal conj u nction 2 2 4 Under the above sta te d conditions , during the di s crete condensation of intra Mars neb ul ar mat ter and its projectio n earthward, so far as this could overcome the resistance of the nebulous matter to continue its proj ection in a solid form , it wo u ld form earth s u rface matter in combination with the nebular earth z one which would still be forming B y thi s entire e ffect , the surface of the globe wo uld receive a mixe d condensation of matte r upon its surface composed of the discrete matter , which would contain every form of solid elementary matter, and of the residual neb ul ous matter that was condensing at the period The above de fine d mixed conditions of deposition correspond fairly well with actual observed conditions as it is clear that we have no regular density sys te m such as would be pro du c e d under the condensation of a purely n ebular sys tem We have gold, copper iron , and other dense metals upon the surface, which may at an early period have formed the cent ral systems of discrete condensations from the universal pneuma before thei r proj ection to the earth 2 2 5 In the small amount of exterior matter that has falle n upon the earth in recent times we have been able to recognize the presence of 2 3 elements , for the greater part the se that generally prevail upon the earth , but in a few cases some of its rarer elements They S ho w upon the whole that they are condensations from an original universal nebula , in which the h eavier as well as the ligh t er elements appear iro n largely predominating The mean density of the entire mass o f such mete ors as have fallen to the earth in m ode rn time s is possibly not far di fferent from the mean density of the earth , about 5 6 times that o f water which should be the cas e under purely open nebular conditions of condensation from a universal pneuma system It can not, however, be s ugg ested t hat th e prese nce of ’ . - . - - - . . - , . , . . . , . ' , . . F O R M A TI O N O F LAN D AREAS - 16 3 . h eavy me tals upon the earth s surface is en tirely due to its re ce ption of meteoric matter There are other suffi cient causes made qui te evident in special cases Metallic veins appear in many cases to be ca u sed by the evaporation of metals from the heated interior through fissures which were produced by the upheaval of primitive and later rocks This e va poriz e d matter is ei ther in the form O f pure or alloyed metals or of haloid compounds often modifi ed by the presence of heated water and possibly originally combined in gaseo u s emanations There is another cause to be proposed further on , namely the effects of the loading of ice at the poles upon th e central system of the globe causing proj ection of interior matter ; so that the formation of land by the incl u sio n of mete orites may not be thought to be even a necessary condition of its formation but only a very probable factor 2 2 6 To recapitulate the condition proposed that possi b ly will agree with observation of geological str u cture — W e may assume that after the formation of Mars at the limits of the sun s neb u lar pe riphery , planetoids were again formed somewhat similar to our asteroid system existing exterior to Mars , fro m condensations due to the reduction of the tem era tu re to the critical te m perature of the sun s neb u la within p a thin peripheral plane M , E fig 1 0 p 8 5 We may assume that these planetoids were formed at fi rst O f the more refractory nebular materials That they moved at first in their partially free orbits in Spiral paths sunward under t he resistance of the resid u al more attenuated or less refractory n ebu lar matter that remained by its elasticity ab ove the denser part of the nebula nearer the s un s s u rface T hat u pon fu rther shrinking of the sun s nebula and fall of temperatu re in a more regular manner the earth s nebular zone w as fi rst formed as a mass extending in vol u me much beyond the moon s orbit under conditions alrea dy discussed That thi s condensation , which finally formed the earth , was set in r tation consis te nt with its mode of formation due t o the q M2 ’ . . , . . , , . . ’ ’ , , . , . . . , , ’ . ’ ’ , ’ . ‘ N O T ES O N T H E N EB U LA R T HE O RY 164 . difference between the linear vel ocities of its outer and inner parts which w ere moving at equal ang ular velocity , as before d isc u ssed 2 2 7 That under the above stated conditions the nebulous earth being of much larger mass and condensing much later than the outer small planetoids , remained gaseous for a long time after they had condensed That it became a liquid globe surrounded by a volumino u s n ebulous atmosphere a t the time that the intra Mars planetoids represented in minia ture cold bodies similar to the present earth That the s e planetoids after cooling possessed dense metallic centres probably still highly heated , surrounded by oxidized metals and haloids with water or, m ore probably, ice and air upon their surfaces That the planetoids m oving under the resist ance of the still a ttenuated nebul a surrounding the sun with their small excess of angu lar velocity drifted slowly as regards inward motions s u nward into the neb ula of the new forming globe u ntil they were drawn to its surface and became finally incorporated about the perihelion positions of thei r orbits The effects of th e percussion again developing great heat but not s u fficient to convert t he perfectly cooled planetoid pro e cte d u pon the earth s s u rface , if this w a s of large mass j again into a liqu id state or to b ring the earth and the plane to id back t o the form of a single neb u lous globe 2 2 8 S u ch systems of collisions as inferred above at every uni on of a planetoid , if this happened to be of large mass might be considere d to form at the time of contact a close binary system The parts of the planetoid I n con tact with t h e ea rth would become highly heated by the e ffect of the collision and Sinking with its lighter coating into the liquid central globe of the earth would prod u ce convection currents d u ring its immergence bringing the lighter lique fied surface In m atter into equilibrium of the mean gravitation system this process the lighter oxidized matter from the former b u ried s u rface of the inj ected planetoids being slowly floated up to , - , , , . - . , , . , - . , ’ , . . ‘ , . , , . ’ N OT ES O N T H E NEB U LAR T HE O RY 16 6 . about th e periphery of the intruded mass , and the solid centre of the planetoid would gradually Sink into the globe until it reached a position of gravitation equilibrium and became a part of the interior metallic density s y stem of the globe This could not occur, however without m u ch confusion and violent plutonic action within the central matter during the time that the lighter oxidized forme r surface matte r of the planetoid w as reaching the permanent surface of the globe by convection currents These currents would form special drifts and bring much of the metallic matter to the s u rface by tearing it away in collision as it is a property of semi fl uid siliceous m atter to bite into a metallic surface , as we fi nd in the process of enamelling 2 3 1 The final r es u lt of such a motive system as here presented would be the projection of a mass of vitreous rock above the earth s surface entirely added to the earth s super fi cial system forming a hollow plane produced by the excess siliceous material floated up at the periphery of the included planetoid The lowest part of the sur fa ce of the earth covered by the projected planetoid would be raised above the mean gra vitation plane of the ea rth s surface the entire upheaved rocks being in equ ilibri u m excess of mass o f the volume of the Vitreous rocks upon the surface of the partially included planetoid The effects of the incl u sion of a planetoid upon the early globe as herein described may be better shown by a diagram L et fig 2 2 A be the metallic core of ’ the plane t oid ; b b the surro u nding tertiary matter ; c c t h e ” sur face of the globe ; d d d the mass in section of the terti a ry matter finally resting above the s u rface o f the globe ; ” '” t t and t t will Show the lines of greatest mass that will rest above the surface The tertiary mass in segment of arc in a heated viscous state would float round the dense r z z core and finally a ppear upon the e a rth at d and d The extruded tertiary m a tter would generally fi nally rest in gravitation equili brium with a part of its mass sunk in the - - . , - . - , . . ’ ’ , , , . ’ - , - . . . ’ ’ ' . ' ' . - P LANE TOI D C O LL I S IO N WIT H T HE EAR TH 16 7 . matrix matter of th e globe , and being vitreous it would also tend to run down upon the s u rface but in its early extrusion being at the same time subject to the ra diation of heat when project ed m u ch beyond the earth s surface it would partially cool down and finally take a mean gravi tation position in r elation to the dense metallic core o f the ea rth with con s ide ra b le projection therefrom , , ’ , . 232 . A s the planetoid may be assumed to strike the globe near its equa tor, it would have more of its matter included The U pon the equatorial than the polar side o f contact plutoni c mass would therefore tend to ex tend polewar d diminishing its vol u me so as to leave the conti nent due t o its projection of pear shaped outline , with its broadest end towards the equator 2 3 3 The cold planetoid falling towards the earth centre wo ul d leave its upper surface exposed for a period and this shutting o ff the radiation from the hi ghly heated globe beneath would cause a rapid deposition by co ndensation of th e supe r ' . , - . - . , - - 16 8 NO T E S O N T HE NEB U L AR T HE O RY . impo sed nebula , S O that It would acquire a heavy surface strat u m of ne w deposition beyond that of the planetoid s mass 2 34 In the above we have taken an extreme case The special condition of the fall of small bodies of meteoric matte r co u ld not have produced distinct features u pon the earth s surface If meteoric bodies fell in swarms , the e ffects wo uld be the same as those j u st considered for single planetoids , but probably with more dispersion upon the earth s s u r face The general detached fall of single small meteorites co uld only prod u ce a certain amount of incidental inclusion of that which appe ars to be foreign matter to the system of stratification wherein it fell which is recognized by geologists 2 35 It cannot be assumed that the foregoing conditions of proj ection of large planetoids could remain permanent, being since subj ect to long periods of atmospheric den udation and all the after conditions of o u r globe of which we have full knowledge by geological evidences that remain in volcanic and stratified rocks ; but u pon the whole the initial setting out of the globe in local land areas , if it occurred by the incl u sion of planetoid matter in the manner proposed could neve r be eradicated The forms of ancient continents have no doubt been modified in time by atmospheric conditions , and by the e ffects of oceanic curre nts through the direction given by solar i m p u lse , causing wear in their proj ecting parts and deposition of matter in quiescen t con tiguo u s water , owing to which the great ocean basins at the present time approach circ ular areas of circulatio n of free oceanic surface , which I have c onsidered in my work on fluids (fig 2 2 ) U nder these conditions the central continental mat ter may in some cases be undistu rbed The general mass of vitreo u s mat ter localized in great depth o f rock by such projections as s u ggested co u ld never be entirely dis t ributed by forces known to us as having been active upon them s ‘Fl u id s 1 8 8 1 pp 3 54 3 77 ’ . . . ’ . ’ . . , . - , - - , . , - . , . , . ’ a , , . , . N O T ES O N T HE NEB U LAR T HE O RY 170 . the nebula w h ich formed the eart h due to radiation of its heat only into space , u pon which the varying o ut ward conditions of the state of the sun wo u ld be superimposed Under such p u rely nebular conditions we will assume for the present that the s u n s condensation may be taken as a constant and that the temperature of the earth s nebula was decreasing at a uniform rate The more special con dition of variation will be considered in th e following chapters The factors of purely nebular conditions will be most conveniently taken under separate headings I P eriod o f dissociatio n of elements onward to the time of the early condensations which w ere adapted to fi nally produce the globe in a liquid form II P eriod of condensation o f volatile metals , association O f oxygen and the h alogens with metals and meta ll oids to form the earth s crust III P eriod of deposition of wa ter IV P eriod of deposition of sno w and of ice formations This last perio d is very important in completing the causes of ch anges that have passed ; although in this we go beyond purely n eb u lar conditions , still the mode of action is con This subject may b e better considered in a separate t inu ou s chapter These periods although it is proposed to take them separately run necessarily the one into the next by in ter mediate stages as th e separate systems defined depend upon the e ffects of time which is continuous I P er iod of Conden sa tion of H ighly R efr a ctory 238 M a tter — A t the commencement of the first p eriod s u ggested above we may ass u m e that immediately afte r the separation of the earth s neb u lar ring from th e sun s neb u lar system the heat at this time may have been suffi c ient for the disso at le ast so far as a gaseous or vapo u ro u s condition cia ti on of that which w a s to become terrestrial matter A t such a time if the nebular ring w e r e dense r in any part or if it . ’ , ’ . . . . . . ’ . . . . . . . , , , . . . . , , ’ ’ , , , . , C O NDENS A TI O N O F T H E EAR T H . were broken by any di srupting cause , such as the intrusion of a comet a local density system would be formed in some part which would then become the nucleus of our earth The ring of neb u la after its detachment from the sun is assumed to be in equilibri u m in its mean orbit , so that all pa rts of its matter would drift slowly to w ards any denser parts by conse cu tive attraction of its near parts In such a syste m if the nucleus was formed by heavier heated matter than the condensation o f the exterior nebulous matter this wo u ld drift thereto and approa ch the centre in convection curren ts These c u rrents wo uld be constantly active in proportion to the difference between the density of the central system and that of the surrounding vapours or gas to cause t he spe ci fi cally heavier vapours as for instan ce those of the heavie r metals , to move through the minor resistances of the lighter gases towards the centre of the system A t the s a me time light elastic gases would be buoyed up to the extreme outer circumference of the system This is exactly the case at the present time with the exterior of the chromosphere of our sun which we fi nd s u rro u nded by hy drogen the lightest kno w n element with denser gaseous and vapo u rous matters placed concentrically beneath 2 3 9 Immediately following the first condition of an exten sive nebulous or gaseous atmosphere surrounding the n e w globe system forming from the continued process of radiation of heat there must necessarily come a period of con densation of the nebulous matter to liquid or solid matter Whenever this period arrived it would be quite indi fferent in what part of the neb u lo u s ring system about its exterior surface the condensation occurred The condensed matter would by its superior specific density, immediately pro cee d to pass through the lighter gaseous parts towards the centre of g ravity of the system , even al though the syste m , . , . , . , , , . . , , , . - , . . , 9" Lockyer, S tu dies in S pectrum Analy si s , p 147 ‘ ’ . . N OT ES O N T HE NEB U LAR T HE O R Y 172 . might remain almos t entirely nebulous , j u st as rain passe s through the atmosphere Thus , if w e imagine the platinum group of metals to be widely diffu sed in the nebulous State , these wo u ld not only tend to take a central position by gravity , but in all possible conden s ation thro u gh exterio r radiation they would fl o w towards the centre P ar tie n larly in this case , as s u ch matte r as platin u m wo u ld have little affinity to unite with the oxygen or halogens present thro u gh which i t might pass F u rther, this metal would condense at a te mpe rature s o high that the more general matter prev a iling would remain gaseo u s L ike conditions to those j u st expl ained for platinum would hold also with all other dense refra ctory elements ca u sing constant exchanges of rel ative gravitative positions thro u ghout the long period o f conde n sation u ntil the densest and possibly the least oxidable of the original nebular matter formed a considerable globe 2 40 W hatever may have been t h e composition of the early condensations or primitive liquid matrix whi ch formed the early earth , whether this was metallic or mine ral , in the ordinary sense of the ter m , one thing is certain , that the present cru st as we know it is very largely composed of It is therefore reasonable t o m eta llic a n d siliceous oxides s u ppose that oxygen , being lighter in its pure or gaseous state than the avera ge m ass of the e a rly nebulous globe , remained in the early highly heated nebula an exterior element , and t hat compo u nds or oxides der ived therefrom were deposite d a t a later period than the refracto ry meta ls Under the above conditions , assuming that the dense r, more refractory matters continually condensed about t he central system or globe this condensa tion might occu r eve n while the s u rfa ce maintained an almost incandescent tempera ture ; so that possibly at a period when the earth measured n ot less than w ithin 400 miles of its present diamete r it was still a liqu id globe at a white heat comparable in temperature at its surface with that of the lavas which issue at the present time " . . , . . . , . . . . , , . N O T ES O N T HE NE B U LA R T HE O RY 1 74 . extended much beyond the orbit of Venus A t this time the earth w as possibly outwardly a se lf l uminous globe partly obscured and surrounded by a moon ring or nebul ous m oon P ossibly also the planet Jupiter w as not wholly condensed , but appeared as a large heat giving nebulous body dispe rs in g a small part of this heat to the ea rth Unde r these conditions the earth s equator by reciprocal radiation o f heat exchanges with the sun , and in a less deg ree with the othe r planets main The polar tain e d nearly its initial temperature fo r the time regions being open to space would be ra diating their initial heat more rapidly than th e equatorial regions , thereby re presenting the area o f cooling surface to which condensing nebulous matter nea r the earth s surface would drift in aé rial curren ts a co ndition w h ich as regards the vapour of wate r , has remained to a certain extent pe rmanent P er iod of Condens a tion of Vola tile M e ta ls , 243 II A s s oci a tion of O xygen a n d the H a logens w ith M eta ls a nd — l i s M eta lo d W e may n o w consider the conditions of a period when the sun s photosphere had s h runk to nearly the orbit of Ven u s and heat exchanges within the planetary plane had grown much less active ; when the polar regions through radiatio n of their initial hea t may have been reduced to a red heat and assumed a viscid consistence Under th ese circumstances , by the continuous radiation of heat from the exterior nebulous surface or atmosphere and the coolin g by radiation of initial heat from the surface of the globe , volati le metals wo u ld be deposited and oxygen and the halogens would approach more nearly to the earth in its n eb u lous atmosphere by which means their association with metallic vapours near the surface wo u ld be possible and A t this period under the great m ight even be rapid n ebular atmospheric pressure then present , the n e w formed oxides would fall as rain ove r the cooler polar regions , where the s u rface heat co ul d not support the vapourous state and w e may assume that at th eir grea t h eat they wo u ld remain . - - . - . ’ - - , . ’ , , . . . . ’ , . , , . , - C O NDENSA TI O N O F T H E EAR T H i n a viscous . s ta te and therefore would fl ow outwards from the cooler polar regions towar ds the equator to gravitative e q uilibrium , combination with the central matrix being no longer possible as in the early conditions with prevalent metallic surface matte r 2 44 In continuity of what is here taken to be the sa me period we come upon condi tions most importa nt to geology, namely when it beca me p os s ib le a s a na tu r a l resu lt of the cooling o r s o lid oxid es w he n t he or med te rt i a r t f m a t r u o n er t o e s t , f y y , p This occurred at first possibly as a the s u rface of the glob e kind of oxidiz ed scu m , such as w e find floating in the ordinary melting of metals exposed to the air, and no d oubt only over The presence of t h e colder area of the poles as j u st stated such a scu m acting i m mediately as a non conduc tor of heat would shut off a part of the initial radiation from the surface of the central matrix of the earth , which previo u sly kept the gaseous m atte r above it from condensation at ne arl v its critical point This loss of the s u ppor t of radiated heat from the earth would cause the condensation of vapouro u s and gaseou s matter to appear as dense clouds and finally to pre cipi ta te the condensed oxides , of which the clouds were forme d , u pon the cooler polar areas of the earth Under these con ditions , as soon as a cooler primitive sc u m was formed , this would be immediately covered by further nebulo u s deposition of oxidized matter 2 45 A s the polar regions of the earth cooled down thro u gh open radiation the early basic matrix wo u ld no longer main tain su fficient surface heat to retain a liq uid s urface and the early siliceous oxides would become by loss of heat stifli y viscous A fter this period the same oxides that fell at great heat in a li q uid or v isco u s sta t e might fall over the cooler areas as a kind O f tertiary m ineral sno w and in this way c Ov e r up the pri m itive V iscous scum , possibly even to very great elevation At the same time this would depress the supporting liquid and the viscous surface beneath , causing , , . . . . - . . . . - . , , , . N O T ES O N T HE N E B U LA R T HE O RY 176 . this S urface matter to move outwards from the poles t o equi librium of gravitation by displacement In this manner gravity wo u ld spread out or carry the newly formed oxides to great distances from and around the poles 2 4 6 In the above scheme it is assumed that oxygen and other elements of low speci fi c gravity at a high temperature could not reach the earth for combination with denser metallic B ut if we suppose m atter at any early period of condensation there were certain combinations which would be precipitated even before the a t any given te m per ature from the neb u la complete metallic matrix was formed their specifi c gravities wo u ld still maintain them as a scum , and the after con dition s as already described would not be materi ally modified 2 4 7 L ong after the deposition of the more refractory oxides considered above w e should naturally have the deposition of the m ore volatile chlorides and in a less degree the fluorides and iodides and generally w e sho u ld have the most volatile m atter of the solid earth longest in suspension in its primi tive neb u lar atmosphere A t this point it therefore becomes important to consider what bodies in combination may have r em a ined gaseo u s at a moderate temperature capable of fi nally contributing to the matter o f the earth s crust , which we may assume from the presence o f their elemen t s in the early rocks were possibly largely difi used previo u sly to the formation of our present atmosphere O f these gases as most important we may take - ' . - . . . , , , , . . , , , , . ’ , , . Al u minium Aluminic chloride Al Cl Iron F erric chloride , P e2 C16 2 , 6. . O r descending to o u r present atmospheric temperature We , , have S ilicic hydride , S iH4 C hloride , S i C4 fluoride , S iF4 . . . N OT ES O N T H E NEB U LAR T HE O RY 178 . take i t that at the period when oxygen and the halogens entered into association with the prevalent basic metals , their oxides were fi rst deposited over the cooler polar ar eas upon principles j u st discussed that all the surface of the globe except the polar regions which were most open to radiation was in a highly heated li quid state and the whole s u bstratum of the polar area in this state also Under these conditions as the oxides condensed about the cooler areas of the poles this lighter oxidized matter its lower part being in a pl astic V iscous state loaded u p as it might be b y condensation at the poles to great height , would have through the i nfl u ence of its grav ity a constant tendency to be pressed o u twards from these regions so as to float upon the s u rrounding liquid metallic matrix into lo w er latitudes At the same time by n atu ral affi nity these oxides would cohere together more particularly at the base of the mas s where the internal heat and press u re Th u s as the w ould maintain them in a liquid viscous state compound oxides accumulated in mass they must of necessity have ov e rfl ow n or be thr u st outwards from the coo ler polar regions from their o w n internal gravitation pressure and in this m anner form coherent projections , taking the lines of least resistance in moving upon the liquid or semi liquid metallic matrix const antly towards the more highly heated regions of the eq u ator to restore gravitation eq u ilibriu m Thi s thrusting out would occ u r exactly in proportion to the accu m u lati on of the lighter condensed oxidized matter from its increased pressure through constant deposition at th e coole r area of the poles 2 50 The form which the above described coherent pro cti on s of oxidized matter would take would b e that of lon g e j tears precisely the same as that of the boundaries of a mel t ed metal or other cohesive liquid poured out continuously in bulk u pon the centre of an extensive heated level Slab ; This form wo u ld however be modified to a certain extent by the re melting of part of its extreme prolongation particularly at the , , , , . , , — , . , , , . - , - - - - . - . , , , , . F O RMATI O N O F CO NTI NENT S 17 9 . thinner bordering edges in approaching the m ore highl y heated that is the less cooled equator These prolongations from the polar regions would therefore take the final forms of pointed to n gues , m aintaining a wide base u pon the polar r egi ons and diminishing grad u ally as they approached the still ahn ost in candescent tropics where heat would be partially held from radiation by the large predominant sun 2 5 1 Under the above conditions there wo u ld be also present a constant tendency to widen the b a se of the prolongations above described Firstly by the extension of the solid s u rface of the polar regions through continued cooling and the increase of the amo u nt of s u pport to the elevation of oxidized m atter through s u b m ergence of the lower parts S econdly by the deposition of a greater amo u nt of neb u lo u s matter which wo u ld increase proportionally to the su rfa ce shading from the infl u ence of the radiation of the earth s initially h eated matrix so that from both these ca u ses a constantly wider area of base would be added to the floating prolongations as they were pressed outwards from the pol a r regions making the entire projections of conical form At the close of the period above depicted so far as condensi ng nebular conditions were concerned the whole of the n e w formed land surfa c e derived from the deposited oxides would consist of pointe d areas of projection extending to w ards and over the equator proceedin g from an elevated base Spread over a wide region around the poles The n e w land in lo wer latitu des w o uld appear as a floating mass possibly of a dull red heat, upon a liquid matrix of much greater density and more highly heated than i tself 2 52 We may n ow consider a period when the whole sur face of the globe proceeding from the poles began to set to a viscid resistin g s u rface as an e ffect of the radiati on of its initial heat into space and when the ne w land surface in poin ted con tinental areas had become superficially rigid At s uch a period t h e ce ntral areas of the n e w land , being pro N2 , . , , . . . . , - , ’ , , . , - - , , , , _ ’ . , . . - , . N O T ES O N T HE NEB U LA R T HE O RY 180 . te cte d by a non conducting coating from excess of radiation from the still highly heated matrix beneath wo u l d possibl y retain a semi viscid condition at a small depth We still as sume that mineral matter is being deposited , although more slowly , from space especially at the cooler areas of the poles The n , however n ow assumed to be much below red heat much mineral matter should be piled up at the poles of the earth , i t woul d be more and more resisted at the borders of the now viscid s u rface of the matrix surrounding the n e w continents Under such conditions possibly the edges of the new formed continents would be pressed up and contorted by the resistance to fu rther projection and have their borders thrown u p much beyond the average surface , s u ch edges bei n g contin u ally cooled and consolidated by their exposure to radiation at the greater heights N e w smaller tongues of proj ection mig ht break out here and there at any points of least resistance for the escape of the in ternal press u re of the semi liquid oxides flowing to equilibri u m 2 53 A t a later period when the floating movement of the continental areas became q u ite impossible by the resistance o ffered by a considerable depth of the cooled s u rface of the ma trix and oxidized magma above , and the various matters o f the neb u lous system were mostly deposited , the mor e heated interiors of continents then formed where the polar o u tfl ow was most continuous , would contract and si nk down in cooling , and leave the n e w land areas , although of grea t altit ude , of basin like section — To summarize the con 2 54 D is tr ib u tion of L a nd a rea s dition s here pr e posed : t h e continents may have been fu lly delineated before water yet fi lled the oceans these appearing as pointed land systems proceeding equally from each O f the polar areas ; b u t if we consider the actual conditio n we find w e have very li t tle land in the sou t hern hemisphere and much in the northern There must therefore , have been , even at this early period , some modifying con di tions to thos e n e w - - , - . , . . - . - . . , ' - - . - . . , - . , N O T E S O N T HE NEB U LA R T HE O R Y 18 2 . theory proposed upon nebular conditions only " This wo u ld be very di ffic u lt to answer in the a ffirmative , b u t w e may find that in certain points ther e is agr eemen t, which may possibly be all w e m ay expect after so great a lapse of time , and with other factors of formation that have been already proposed 2 5 7 B y the nebular system here suggested , w e should have a mass of land at the north pole from early condensa tions and a less m ass at the south pole from later condensation B oth of these land areas would possess pointed prolongations extending outwards to or possibly even over the equator O f the actu al land areas which may be consi dered as consistent with the principles discussed in this chapter, w e may take the prolongations of land in N orth A merica with arctic base , the lesser prolongation of G reenland , the prolongation of the E urop a A siatic continent to Mocha that of the peninsula of In di a within the G anges , and that of S iam extending at one time possibly to S u m a tra We n ow find the most important a reas of S A merica , A frica and A ustralia disconnected fro m polar areas B ut as regards A frica if we take a wider vie w , this may be considered as a prolongation of the E u ropaeo A siatic a rea leaving then only the di fficulties of accou nting for the division of the narrow Mediterranean and Re d S eas In the same manner A ustralia having the bro adest base to the south w e may i m agine it t o have been once connected with the antarctic polar system A t this period its area would extend in pointed form , incl u ding and possi b ly extending beyond N ew G uinea The principles disc u ssed leave S o u th A merica an entirely detached continent , which considering its theo r e tical form u pon the neb u lar principles just proposed , would indicate that it must belong to the northern area but we n o w fi nd it in the southern Therefore , this may possibly be better accounted for upon the di screte conditions previously s u ggested 2 5 8 It is not probab le that the early condi tions of e a rt h . . . , - — . - - , , . . , . , , . , , . . , , . . . D I S T R I B UTIO N O F LAND AREAS - . formation could be fu lly recognized , as very material change s m u st have occurred since The anomalies to the theories proposed of the detachm ent of S America A frica , and Australia might possibly be met in a ce rtain degree b y s u pposing that these cohesion systems were detached from the area of their polar condensations and drifted when the earth s meta llic matrix w as still superficially liquid into their present position This might have been ca u sed by o u tward pressure from the poles O f m atter which condensed at a certain period but afterwards dissolved in the highly heated waters , deposited in great volume and under grea t press u re which will be presently discussed Taking all these matters into c onsider ation , however it is not probable that nebular condi tions alone ruled as there were no doubt also discrete condensations about and without the neb ular zone or ring which in time through crossing orbits with the earth , came in to collision with it and materially modified the land areas , possibly in the manner discussed in the last chapter 2 59 Following the above described hypothetical conditions u nder which the ba s ic s up erfi cia l sy s tem of the globe may have been formed w e have for the consideration of the present continental for m s to allo w for the influence of forces acting onward to the present period to which we must attribute great modifi c ations Among su c h infl u ences we have erosion and after deposition on c oasts v u lcanicity in its widest extent and the wear of oceanic c u rrents forming altogether constant elements of modification with others to be di scu ssed 2 60 W hatever may have been the special or local con dition s of early continental formation it is very probable that at the close O f the long period of deposition of oxide and halogen compo u nds or what we may term the dry period of deposition , the la nd areas were generally clearly de fi ned for all fut u re time If these oxides as non conductors stopped t h e radiation o f central heat and at the same time r adiated . . , ’ . , , , . , , , , - . - . , , , . , , , . . , , - . - 1 84 N oT E s O N T HE NEB U LAR T HE O RY . their initial heat from the surface , the deposits wo ul d b e piled up over such areas and by this loading press do w n the lower surface of the land to gravitation equilibri u m , so that the land of the earth may be represented as consisting of m a sses of oxi dized matter floating u pon a lower denser liqu id m etallic substratum 2 6 1 From the immense volume o f oxides known to exist upon the s u rface of the globe by the mode of precipitation here proposed the l a nd areas may have attained great height possibly locally of te n to t w enty miles These areas O h structive to radiation of internal heat, w o uld advance from the poles so that afterwards deposition of oxi des or halogens over such land areas woul d become general and upon points of elevation as great as over polar areas , in the same w ay that snow falls on mountains at the present time In such n e w formed depositions generally pressing from their centres outwards to gravitation equilibrium acting with deposition of water we have possibly the entire factors of the great gneiss forming age v estiges of which remain intact with all the great displacements and contortions impressed upon it w hi ch are still evident at the present time This will be discussed further on The depositions about the tropical land regions which may have been produced by causes discussed in the l a st c hapter would act in conjunction with the condensations here considered and locall y magnify their effects 2 6 2 III P er iod of For m a tion a nd D ep os ition of Wa ter —It has been calculated that the whole of the water upon the globe if equ ally distributed wo u ld be about tw o miles in depth If this at the temperature then prevailing formed an atmosp h ere about the globe it would produce a pressure of about 4 00 atm ospheres or 7 0 00 lbs per squ are foot of surface It is u nnecessary to say that this could scarcely occur at a time when the earth s surface was even at a red heat , for at this pressure water w ould possibly remain liqu id even at a white heat Further by the classical experiment of Cagniard de , - . . , - , . , , - , . - , - , , , . - . , . . . . , . , , , , . ’ . , . 186 N OT E S O N T HE NE B U LA R T HE O RY . manne r the ocean bottoms wo ul d be formed from the deb ris of the early polar condensations , and the polar areas would become channelled and in time become largely oceanic by this constant den u d ation and chemical action of the constant drenching of the highly heated polar rains 2 6 4 If we may assume that the process suggested above continued until the sea reached to within half a mile or so of its present level the condensation of vapour might then have become possible over the n ow much cooled lower latitudes , and the elevated tropical lands possibly began to receive a copio u s rainfall It is thro u gh out this period until the ocean became of nearly its present level that we may look for th e greatest aqueous deposits u pon all lands in inland seas and shores together with a large deposit over the bottoms of the oceans The deposits as they were washed from the coasts and inland would be left by gravity piled up against the borders of the continents and , generally by the action of currents carrying mineral matter irregularities and depressions u pon and abo u t the continents would be fi lled u p or smoothed O ff O f the gaseous matters previously considered as 265 possibly remaining longest in the atmosphere and incidentally under decomposition formin g s u rface matter the most important are the chl or ide s, and these are not found largely in the earlier rocks , but in the ocean The reason for this is probably that they were decomposed in the presence of oxide of sodium ; a n d as sodium does not form a gaseo u s compound with chlorine at ordinary temperatures , it would be at fi rst precipitated on the earth from the nebulo u s e n v e lO pe as one of the later lighter oxides and this oxide after wards in the presence of water would decompose the chlorides present and still remaining in solution wo uld carry the chlorine to the ocean as salt, leaving its oxygen reunited wi th elements . . , . . , , . ‘ . , , a t Fl id ‘ u s, ’ h b y th e Aut or, p 3 73 . . DEP O S ITI O N O F W AT ER . p resent which were not saturated to the highest or most per manent state of oxidation 2 6 6 If we take the termi n ation of the aqu eous period to be that at which ice was first possible of for mation a t the poles t his wo ul d be the time of greatest general elevation O f the ocean ; for altho u gh we m ay s u ppose that a m u ch greater volume of water was held in vapo u r in the atmosphere by the heat con ditions present still this would not nearly equal the enor m o u s amount of ice at present elevated at the poles above the oceani c level which in the case ass u med would form part of the oce a n D r Croll has estim ated that the melting of the antarctic ice cap a lone , considering this as only equal to one mile in thickness would raise the general oceanic surface 2 0 0 feet A mile is probably much under the truth for the elevation of the interior of this area ; b u t if we add to this the arctic ice above sea level and t hat of all elevated i c e clad regions , the general level of the ocean would be raised possibly more than 40 0 feet from its present surface which added to the present sea level might indicate approximately the level of the ocean at a period before ice was formed Further it may be pres um ed that the constant d eposition of water m u st have nat u rally reduced the amo u nt of land so that the lower lands of the present s urface were entirely submerged 2 6 7 This aqueous period , as w ill be hereafter considered , possibly occurred in the palaeozoic a ge and also later in the miocene period , when a temperate cli m ate extended to the north of G reenland The general e ffect of these aqueo u s periods upon what was at the time and what afterwards became , lo w continental land w as the heavy and alm ost con tinu ou s deposition of the d é bris of originally deposited matter bro u ght down by constant rainfall to the Shallow coasts and inlan d seas This deposit u pon principles suggested , although . . , , * . . - , . - , - - , , , . — , . . . , , . C li mate and T i me, p 3 88 ’ . . , N O T ES O N T HE NEB U LAR T H E O RY 188 . less in proportion as it w as distant from land surface must have been greatest towards the polar regions partially filling the oceans in these regions and generally diminishing towards the equ ator Therefore it is improbable that deposits as the northern silurians will be fo u nd regions their representatives being much derived from the d é bris only of the elevated continental lands , produced entirely by causes already discussed , , . , . 1 90 N OT ES O N T HE NEB U LAR T HE O RY . disc will n o w be suggested These symmetrical conditions were discussed by me in a paper read before the G eologists A ssociation March 2 n d, 1 8 8 2 and are n ow reprod uced with some slight additions 2 7 0 Ice , of w hi ch we have the greates t mass at prese nt under the uniform condition o f condensation of the sun probably formed when his apparent disc w a s not more than ten times hi s present diameter and when the mean surface temperat u re of the earth did not at most exceed its present tropical tem perature A t this period we had a much more aqueous atmosphere than a t present as it is the law that the quantit y o f vapour in the atmosphere when this is saturated increases in geometrical progression as the temperature in creases in arithmetical We had therefore probably at t his period , considering the relative areas of the globe un der tro pical and temperate temperatures a mean of about ten times the present amo u nt of aqueous vapour in the entire atmos phere At this relatively warm period as compared to the present we have only to imagine that a polar area became suffi cie ntly cooled through excess of radiation of initial heat from the earth for condensation of water to occur in the solid form O f sno w , and w e have then the certainty o f a continuous copious fall of sno w over the same cold regions during the winter in the place o f a former rainfall 2 7 1 If we take the process of the cooling of the earth as being quite gradual omitting variations in the heat giving power of the s un w hich may have been bro u ght abo u t under conditions already considered and other e ffect s to be discussed in following chapters w e may s u ppose that the cooling of the earth s u fficient for the deposition and formation of ice wo ul d at an early period prod u ce ve ry little geological change if we o m it consideration of all e ffects upon animal and v e ge table life which would be materially affected by frost The . ’ , , . , , . , . , , , . , . . - , , , . , N ature M arch 2 9 1 8 8 3 ; Proc G eol A ssoc v ol vii i p 8 9 ‘ ’ , , . . . . . , . PRE— GLA CIAL AND GLA CIAL PER I O DS 19 1 . ice formed at this early period in the winter wo u ld be dissi pated in the s ummer u ncovering the land s u rface and leaving it at about the same level , except for a small amount of denudation 2 7 2 After the early period de fi ned a b ove the immediate e ffect of the furt her cooling of the earth from any cau se astronomical or secular would be the greater deposition of snow in high latitudes which as it constantly accumulated in m ass wo u ld slowly bring about th e proportionate lowering of the oceanic surface upon the entire globe fro m abstraction of the surface water Under these conditions the littoral areas formerly s u bmerged in shallow water would be gradually b u t slowly uncovered u ntil in the co u rse of time the present extent of land s u rface appeared 2 7 3 If w e assume u pon the symmetrical conditions pro o s e d t hat the entirely aqueous epoch closed with the mi ocene p period when ice of the present system due to decrement of the sun s volume and other causes probably began to cover the poles in winter and melt in the summer , this would evidently be the period of the greatest extent of oceanic s u rfa ce for n ot only would the waters of the ocean be dis trib u ted over its sur fa c e to g ravitative equilibriu m but the land w o uld have become largely levelled down by the heavy rains of the earlier period when the atmosp here w as more highly charged with vapour W hen the elevation of ice at the poles after this period slowly abstracted a much greater part of the waters of the ocean m u ch of the shallo w muddy shores mu st have become soil adapted to vegeta ble growth over the temperate region s 2 7 4 The continuity of the oceanic depression upon the condi tions just stated and contemporary circumpolar elevation by deposition of snow as it chan ged the extent of land areas must have affected the land resistances to the direction of the proj ection of oceanic currents and with them the superimposed air cu rrents , and have caused local variations of tempe rature - , . . , , , , - . , - . . , , , ’ , ‘ , l , , . , . . - , - , - , 1 92 N O T ES O N T HE NEB U LAR T HE O RY . in polar and temperate regions by the di rection given to these currents due to heat and expansio n o f air and water from t h e diurnal impulse of the sun 2 7 5 The elevation of sno w to great height by condensation at the poles would by its pressure upon the yielding mass of the globe , whose equ ilibrium could only exist in a form consistent with its gravitation and rotation as a spheroid of revolution cause an excess of pressure u pon polar are as which would react upon the lower viscous superficial strata of the earth and cause extrusion of viscous rocks to the surface or the elevation of certain areas of the surface which O ffered the least resistance to the imposed internal pressure until approximate equilibrium of the rotative gravita tion system of the globe w as restored This elevation would be brought abo u t by the extrusion of felsitic or basaltic rocks to the or s urface , or slowly in the u pheaval of extensive land areas , more violently in earthquakes and volcanoes according to the state of resistance d u e to the density flexibility , or previ ous faulting of the more or less yielding surface rocks 2 7 6 It must be impressed that the necessity for the main te n a n ce of land areas depends upon the eleva tion of r ocks by plutonic forces D egra dation by atmospheric forces and tidal action is constant so that unless the elevation is in excess of the depression in t h e ratio of this constant degradation land areas must constantly diminish by levelling down , and j u dging from the q uantity of sediment know n to remain at present in stratified rocks all land areas m u st therefore have been wasted away ages ago — l h P u o I a t t o e s i Under the con i t i t o n e e c 2 7 7 T he D s r b f diti o n s discussed 24 5 the N orth P ole would be the first to cool down for the deposition of O xides , S O that deeper surface This deposition being r ock S would form at fi rst at this pole of a large mass of matter would distur b the centre of gravity . , , . - , , - . . - . , , - , - , . . . , . Fl id p 39 1 ‘ u s, ’ . l a so B ri t A s soc R ep 18 8 4, p 7 2 3 . . . . . i1 94 N OT ES O N T HE NEB ULAR T HE O RY . premises of the e ffects of the action of elevated masses of ice upo n certain portions of the earth s crust In the fi rst place there can be little doubt that there is at present a great accumulation of ice at the poles of the earth In the souther n ocean this forms a wall about the An tarctic Circle according to S ir James R oss of seldom less than 2 00 feet above the sea level where icebergs are constantly detached In certain d istricts these are evidently of much greater height as we fi nd large icebergs floating with the upper surface said to be as much as 6 0 0 fe et ab ov e sea level , indicating a submergence of probably five times this depth or 3 000 feet A s these ice bergs are detached from the front of the coast it is q u ite clea r that the ice must fl ow down from the interior as in the ordinary glaciers ; therefore there must be heavy deposition of snow accumulating at the back o f them Mr W H opkins has cal c u late d that ice will just move downwards at on e d egr ee of inclination In taking the inclination of ice over some mountain va lleys in the G rindelwal d glacier in S witzerland whi ch is a very flat glacier for about a mile , I found that the mean for the lower parts of this glacier was not less than two The southern ice cap incl u des an area approximately d egr ees equal to the entire A ntarctic Circle that is of about sq u are miles Taking Mr W H opkins s estimate one degree of elevation (as pointed o u t by D r Croll T ) , makes the altit u de of solid ice abo u t 2 4 miles in thickness Over the southern pole S u ch a thickness assuming the ice by compression to take nearly the solidity of surface water, would represent a po t e ntial force upon the earth s cr u st of say 3 9 50 tons per square foot abo u t this pole or taking an area of 1 0 0 00 square m iles of surface around the S outh P ole a pressure upon the crust in this region would be maintained of over 3 900 tons per square foot ’ . . , , - , , ’ - ‘ , . , , . . . . - , - . , ’ . . . , . “ . , - ’ , , , . h S eas, S ir J ames C R oss , vol i p 2 19 as V oyage to th e S ou t 1 C limat e an d T i me, p 3 75 ern ’ . ’ . . . . . . P RESEN T CO ND ITIO NS C AU SE D B Y IC E 195 . We may consider further that it is scarcely possible to suppose the ice a floating m ass wholly breaking away at the coasts or that it rests u pon a le vel p la ne the probability being that the surface is extremely mo u ntainous or irregular inland near the terminal glaciers ; in this case we must allo w f or greater friction on the motive plane c onsequently for greater depths of ice before slipping can occur If 2 4 miles of ice be ass u med to co ntin u e in a static condition at the S outh P ole above the symm etrical e a rth considered as a it appears to be highly improbable s pheroid of revol u tion t hat the crust s u pported upon a liq u id matrix could resist t his excess of press u re witho u t de fl ection ; a n d even if it sho u ld do so , the accum u lation of ice s till re m ains a constant factor until the resistance is overcome We must fu rther consider that in Mr W H opkins s experiment the free surface of the ice was only a short distance from the artifi cial inclina tion measured It is possible that in the case of ice hundreds of miles inland , in every way supported by s urro u nding ice grounded on a fri ction a l or even possibly a s u rrounding mo u ntainous plane and at a mu ch lo w er degree of te mperatu re than in these experim ents downward movements wo u ld not be possible at one degree of surface inclination Under such conditions ice might be permanently retained if the earth were su fficiently rigid , possibly at two or three degrees of in W ith such a local clina ti on as i t is in o u r inland glaciers pressure u pon a yielding sphere wh ich w e assume the earth to be , w e can scar cely imagine the possibility of its resistance Further, ice in cooling increases in density , and we can — 1 0 0 Centi form no exact conception of its rigidity at grade as it probably exists at this pole Forbes s observations showed that ice moved dow n wards in gl a ciers with velocity somewhat proportional to its temperat ure T A ccepting all 2 80 : , , . , , , , . ’ . , , , - . , . , , . ° ’ . , . P h il M ag 1 845, v ol xxvi . . . . T Forb e s, N orw ay and its G laciers , 1 8 53, p 2 34 ’ . O . 2 N O T ES O N T HE NE B U LAR T HE O RY 19 6 . the conditions as active upon a de fl e ctib le globe , to cause reactions u pon its cr u st, then the elevation of land earth q u akes and volcanoes could be easily explained S imilar c onditions to those defined for the S outh P ole would hold at the N orth P ole , although at the present time less e ffectively Unfortunately the poles of the earth cannot be 281 reached for exact evidence of the above assumed conditions of accumulation of ice but we happen to have in G reen l a nd a similar state active in a less degree and on a relatively sm all scale H ere t he inland ice being elevated above the snow line , vapour currents are constantly condensing to snow , which as constantly accumulates S O that the greater part present time a complete glacier O f G reenland is at the mo u ntain of possibly 7 0 00 to 8 00 0 feet of interior elevation In the southern part we have at the present time land s u rface , and here the coast is now known to be sinking fo r E xact measurements have not the space of 6 0 0 miles been taken of the rate of sinking ; b u t ancient b u ildings u pon the rock islands are said to be sinking benea th the o c ean s u r face so that experience has ta u ght the native G reenlander not to build his b u t near the water s e d ge T 2 8 2 It is very possible that the rate of sinking is nearly proportional to the increase of weight of snow annually piled up inland S uch pressure as may be produc ed in G reenland , situated as suggested over a visco u s sys t em of matter , will act hydrostatically and be felt elsewhere possibly by elevation in Iceland or S candinavia ; but as the pressures will com bine with the general system of the polar pressures in acting upon the heated magma beneath , where this par t icu la r pressure is most reactive at present , that is where the c rust is least resistant , it is impossible to discover except by O bser vation , . , . . - , . - - . . - - , ’ . . . . 91 6 Nature S ept 2 0 th 18 8 3 v ol xxviii p 48 8 ’ , . , T Lye ll s Principl e s of ’ ‘ , G l gy eo o . ’ , . . v ol. . ii p 19 6 . . . N O T ES O N T HE NEB U LA R T HE O RY 198 . globe, we may be assured in the fi rst place that such ele vation will be subject to t w o important conditions of the — a cr u st O f the e rth 1 The cru st may be nearly uniformly rigid ; 2 The crust may be fractured in parts , or possess lines of weakness We will take the fi rst condition 2 8 5 If the crust of the earth is nearly uniformly rigid througho u t its exposed parts it will be still evident that if there is an ice cap of some miles in thickness co vering both the poles of the earth , this ice cap will materially add to the rigidity of the parts th at it covers for w e know it is the property of ice by regelation to heal any possible fractu re or strain that may occur from any cause and thereby constantly to present a v e ry rigid mass , partic u larly if it is retained in a close area or s u pported by irreg u lar or rigid surface matter as before stated In this respect it possesses a property of rigidity not shared by the tertiary matter of the earth as this rem ains faulted after it has been once fractu red by an internal strain 2 8 6 If we im a gine the ice crust to be m aintained at its s u rface at an elevation equal to one degree over the A nt arctic Circle , that is 2 4 miles in thickness at the S outh P ole and to be possibly of great thickness at the N orth P ole , w e may then suppose that the land s u rface covered by this coating will be highly in d e fl e ctib le Under these conditions the greatest e ffects of the opposing press u res of the poles would fall more nearly u pon the tropical regions w here there is the greatest s u rface c urvat u re , an d each meridian would represent as it were a bent bow u nder the excess of polar pressu re ; therefore in the tropics there wo u ld probably occur N o w as we th e greatest pl u tonic or volcanic eleva tion kno w also that the tropi cal area from rain fall is the area of m ost rapid den u dation and consequently of more a ctive thinning of the crust, we o u gh t also to find eviden ce of : this being th e area of greatest volcanic action , and this upon the whole is fairly consistent with observation The following ; ‘ . . . . . , - - , . . , , . . , - . , . , , , . IC E P RESS U RES - 19 9 . diagram , fi g 2 3 , will give details of the conditions proposed L et N and S be the poles c overed by an ice cap E and W ” ’ '” the equator , T T , T T the tropical regions . . - , . We s h o u ld then expect the surface of the earth or the o u t fl ow o f volcanic lavas from I nternal pressure to rise to the ” ’ greatest height at T to T , T to altho u gh this w o u ld in all case s partly depend upon the viscosity an d other conditions of friction within the strata through which the internal pressures must pass from the region of polar press u res 2 8 7 Taking the above condi tions , there are many matters which at once strike one as relative Th u s the mass O f ice at the poles , placed originally by vapour forces out of equ i libri u m with the earth s symmetrical gravitation system as a spheroid of rotation , exerts a force upon the solid c rust of the globe , whi ch it overcomes in proportion as it is insu f In this m anner the res istance fi cie n tly rigid for resistance be comes distributed so that it is not only from internal or hydrostatic pressures but by direct horizontal pressure upon the crust that we may ha ve cer tain facilities of upheaval an d deflection of the surface rocks 2 8 8 Further if w e assume a line of expansion over the tropical area , which the elevation of lower or interior matter of the earth and constant den u dation really indicates this would produce also perpendicular Strains in the rigid materials of the earth s crust, which would follow the meridians , par . . . ’ . , , . . , , ’ N O T ES O N T HE NEB U LAR T HE O RY 2 00 . in the lines of original polar extension of the lighter elements of matter Thus w e should have bro u ght about the conditions O f lines of weakness where the press u res at the poles would not act in a direction to cl o se them by any form of crumpling action as they might be assumed to do in the latitudinal lines This p rinciple may be shown experimentally by the fracture of an india rubber b all or a bladder fi lled with water or air by opposite press u res to w ards the centre thro u gh one diameter , as S hown in wherein a fracture is pro du ce d from n to s t icularly - , . - . fi Fi g 2 4 . . From these causes it is probable that although regions exist around the globe as an e ffect of internal pressure we have the greatest volcanic e ffects in the tropics othe r conditions being equal , which may occur in lines at nearly right angles to the E quator , and continue poleward over land areas as in the S outh American range 2 8 9 The above cause O f fract u re , and the lines of weaknes s pointed out , may generally rule the positions of volcanic elevations B u t another cause of weakness or faulting m ay be suggeste d, which is particularly relative to the — distribution of ice that is that in the immediate vicinity of great accumulations of ice there will be great compression locally upon the immediate surface strata , and this reacti ng with less frictio n than at a distant part may cause faulting near the area of p r essure t o a considerable depth, as at points , , . . . , , N O T ES O N T HE NEB U LAR T HE O RY 2 02 h eated for its . liquefaction so that the proc ess of liqu efaction and u n de rfl ow would be continuous for the dispensation of polar press u res Further as the water would u n de rfl ow from near the s u rface of the metalli c core in an approximately horizontal direction and at the same time be released from a part of the superimposed pressure in passing beyond th e polar area, its tend ency would be to fl ow u pwards thro u gh liqu id rocks nearer to the sur face , which would be of les s thickness fu rther from the poles Therefore , convection currents would be impossible backward to the earlier position of the melted rocks In this manner the u n derfl ow ing wate r might become highly heated by the lower semi liquid rock thro u gh which it flowed This process may be shown by a diagram, fi g , . , 4 , _ . . . - 1 . . Fi g 2 5 . 291 . . L et A be the highly heated metallic core of the globe , the mineral co ating of the lower part of which is Shown ” ’ Then by the press u re at x x w w N a S a the ice caps u pon the lower s u rfaces at a: and w the lower liq u id heated matter u nable to resist the press u res wo u ld be dri ven to equ ilibrium of symmetry with the earth s spheroidal form by " Fu rther in the liquid plane auv to w ard a x u n d e rfl ow in g if the ice which formed the caps N a S a by contin u ity of pressure penetrated to the surface of a non conducting , ’ - , , . , ’ ' , . ’ , - , W A T ER IN V O L C AN IC ER U P TI O NS 2 03 . t stratum at w a where matter was at a white heat within a short distance fro m the polar region it wo uld dissolve and carry with it mineral matter from the lower surfa ce rocks , which wo u ld be extr u ded at the first position upon the globe where it co u ld overcome the resistance of surface rocks to establish static e q uilibri u m ' , , . Fi g 26 . . Fig 2 6 shows details diagrammatically of the manner in which water dissolving mineral matter co u ld u nde rfl O W the 292 . . central s u rface rocks of the globe I represents th e so u thern ice cap N the dense metallic nucleus matter V B the lo w er heated viscous rocks resting u pon the n u cle u s matter CR the present chilled viscous matter formin g th e surfa ce rocks 0 the chilled surface of the lower viscous matter which serves as a non conductor between the heated n u cleus matter and the ice L the position W here the ice pressure becomes suffi cient to force the lower water beneath it into the viscous matter This occ u rs at a lateral position where there is the least resis tance to the hydrostatic pressure The water is forced to form a channel through the visco u s rocks into A s the w hi ch t h e remaining water below the ice cap flows wate r flo ws from the polar sub basin it becomes hea ted and - - . - . . - . . . . - - - . . . ' - - . 2 04 N O T ES O N T HE NEB U LAR T HE O RY . expands possibly to double its former volume and dissolves mineral matter from the channel it has formed The aqueo u s mineral matter being of less specifi c gravity than the viscou s rocks flows towards th e s u rface of the globe , where it may be proj ected as volcanic matter o r by its hydraulic pressure float up the surface rocks The a ction of release of polar pressures W ill be generally paroxys mal as the channel once opened by the pressure will continue flowing thro u gh backward pressure until the liquefied ice beneath the ice cap is exhausted The channel will then close until the hydra u lic press u re again overcomes the resist tance an d ca u ses it again to break th r ough the chilled surface of the lateral viscous rocks A channel originally driven through the viscous rocks wo uld fi nd ventage near the point of polar pressure , b u t the water at the same time would chill t he sur face rocks from which it derived its heat Under this condition the ventage wo u ld become consecutively lower owing to the surface r esist ance becoming greater, until as at the present time , the mass of chill e d matters shown in our diagram at CB prevent the outflow or proj ection of the aqueo u s mine ral matter until it reaches a great distance from the pole The water forced to form a channel in the lower viscous matter in becoming heated after a certain length of fl ow wo u ld react u pon the infl ow ing current thro u gh its e xpan sion as a resistance In this manner its injec tion would become intermittent I arranged several experiments to show this and found one that would do so very simply Making the stem of an ordinary clay tobacco pipe red hot and plun ging it into water , the water enters the tube of the pipe inter mitte ntly and is expanded and projected t h rough the pi pe into the air i n separate spirts T he points of departure for the u n de rfl ow channels pro e cte d by s u b glacial pressures from the A ntarc t ic pole , must j occur at the points of greatest extension of lan d W here the . , , . , - - . . - . , - . , , . . . - , , . , - N O T ES O N T HE NE B U LAR T HE O RY 2 06 . them to great heights in the atmosphere The dust I examined was swept u p from the deck of the bark Arabella, saili ng in th e P acific at 1 000 miles east of Krakatoa It is not necessary to discuss the manner in which heate d water at high pressure dissolves rocks i n detail Water is proved experimentally at a temperature of 41 2 C and at a pressure of 10 0 atmospheres to occupy about four times its original vol u me , in which state it dissolves gla ss At a higher tempe rat u re it dissolves siliceo u s rapidly T rocks so that this co u ld very well form an u n de rfl ow ing c u rrent of siliceo u s matter to the volcano upon the principle s s u ggested 2 9 3 In all volcanic s y stems irrespectively of internal expansion of projected matter there m u st be a tendency upon th e principles discussed for the volc a nic outflow to rise t o hydrostat ic equili b rium with the polar press u re Thus such constant open volcanoes as Kilauea may represent safety valves of this press u re b u t as this mo u ntain is not so high as some other vo lcanoes which have extruded lava recently , it is q uite clear that upon my theory the friction of the under c u rrent O f viscous mineral matter must wi t hhold a part of the hydrostati c press u re c aused by elev ation of ice at the S o u th This is also evident in the differences of altitude of P ole Mauna L ao and K il auea which are near together 2 9 4 We m ay concl u de that if a volcanic vent rises nearly to equilibri u m with the distant press u re system the exposed mass will cool q u i ckly in the atmosphere , and the former point of le a st resistance may become the point of greatest resist a nce and the volcano become permanently extinct or it m ay overcome s u rfa ce resistance nearer the base of the If the volcano does not m o u ntain than the original crater rise to the point of e q u ilibrium it may become intermittently ‘ . ’ ‘ - , _ . ° . , . , , . , . , , , . . . , . , , , . x J 8 8 l 1 t R M r c o l 4 n e eo S v u r t J o Q y l Cagniard de Latour A nn de C h i mi e s er 2 xxi u ar . . o . . . . . , u . ‘‘ , . , . , . xxu . , W A T ER AND S T EAM IN V O L C AN IC ER U P TI O NS 20 7 . active with others in the same state each eruption evidently clogging or preventing by the weight of ejected matter in the c rater fu ture eru ptions for a time in the lo cality and making the eruptions thereafter more paroxysmal If we o mit the friction of the system from consideration then the press u re of the highest vertical col u mn of the chimney of a volcano may be taken to represent the hydrostatic pressure u pon the liqu id m atrix beneath and f rom this the height of ice at the S outh P ole might be estimated For this Chim b o raz o might be taken B ut the evidence j u st qu oted of M a una L ao an d Kilauea shows that friction m ay form a large fa ctor of resistan c e to the distribution of polar press ures , so that equilibri u m by venta ge c annot be estimated 2 9 5 It is impossible within the limits intended for this work to discuss pop u lar theorie s w it h whi ch the above may at some time com e into competition , but it may be well just to mention the tw o most pop u lar Firstly that volcanic and pl u tonic phenomena are due to the Shrinkage of the earth from cooling which theory appe ars to persist in our text books This is fully worked o u t by the late Mr Mall et in over one hundred pages O f the — 1 7 hil Tr a ns 4 5 8 B ut the whole matt er is b uilt upon P inex a ct data and there is s u ch great error in the c alculation that this m u st in time suppress this weak theory O bserva tions of stratified rocks give evidences almost universally of vertical separation by open cracks which indicate quite the reverse of a horizontal surface pressu re , such as would be the certain result of an internal contraction from loss of heat demanded by Mallet s t heory to ca u se the elevation by crumpling up of the surface rocks The universal open cracks are on the other hand the nat u ral result of the effect O f elevation by plutonic forces as herein proposed S econdly , the theory that volcanic phenomena are p r o , , . , , . , . . . . , , - . . . . . , * , . , ’ , . . , , . A ppe ndix B . N O T ES O N T HE NE B U LA R T HE O RY 2 08 . du ce d by the expansive force o f steam , originally proposed by S pallanzani in 1 7 8 8, but best known by its development by S crope Thi s theory could not have been proposed with a better knowledge of physics The experiments of Ca gniard de L atour before mentioned in whi ch w ater was made red hot at a temperat u re of 4 1 2 C with an expansion of only fo u r times its vol u me in a hard glass t u be witho ut bursting demonstra te that water co u ld not act e ffectively in the proj ection of rocks as in vol canic phenomena under a very moderate press u re of s uperimposed rocks , say one hundred feet o f liquid basalt where the water might exist of a w hite heat and of not over do u ble its ordinary volume O f course , i f the rocks were dissolved in white hot water, as they wo u ld be at this temperature , the water would expand into steam when the press u re w as released by its coming to the earth s s u rface b u t this is very di fferent from the assumptio n that steam at such pressure is able to cause the elevation of thousan ds of feet of solid rock 2 9 6 There is a fu rther conditio n fre que ntly o ffered to s u pport the steam theory in the assumption in opposition to hydrostatic laws o r the observed conditio ns of heated rock, that water may percolate rock a t a low level from the ocean and be projected at a high level where the superimposed pressure of s u rface rock is gre ater , which is eviden tly impossible N eithe r are deep seated rocks as we fi nd the m in deep mines porous eno u gh to admit of such perco lation even if it were su fficien t to acco u nt for act u al phenomena 2 9 7 The conditions stated in th is c h apter relate to deposi There were possibly tion of ice since the miocene period earlier depositions of ice the conditions of which will be discu ssed in the next cha pter B u t I anticipate that all the greatest e ffects of polar compression by ice and therefore of volcanic er u ption and plutonic action, follo w ed the miocene . , ° . , , . - ’ . . , - , . , . . . , . , it S crop e on V ol canoes, 18 2 5, p 17 . . [ ] 2 10 CH A P TE R XI V . P R O D U CED B Y EFFE CT S I N C I DENT AL T o T HE N B E U LA H CL O U D ING A T I NFER I O R P LANE TARY F O R M ATI O N, AND A T CR ITI CAL TE M PERATU RES O F MA TT ER S U RR O U ND ING T HE S U N P ER I O D I C CO ND ITI O NS OF E AR T H F O R MA TIO N - . 2 98 Condition the S u n d u r ing E a r th forma tion f Taking the earth system to have been abandoned by the sun as a nebulous z one according to the theory of L aplace the earliest condition o f the sun in relation to this zone would be that o f a luminous globe of nearly the diamet r of the earth s orbit A s the earth zone commenced to condense and form a planet the su n s volume wo u ld at the same time be also con d e n s in g and leavin g this zone more free by distance If there w a s any inequality of density in the zone ring th e most probable condition , there would then be a separation at the most attenuated part of t his zone , and a further con densation in another part by the continuity of the system of attractions of th e denser matter S o that it is probable that the earth condensed into a nebulous globe by concentratio n be fore any solid matter was formed at its centre A fter the detachment of a neb ular planet z one this z one having much greater surface area relatively to volume in comparison with the voluminous sun , and being open to free radiation into space in all parts not directly facing the sun , would condense much more quickly than an equal volume of the sun s nebula 2 9 9 In considerin g th e condensation of the nebul ous zone . o - , ’ e - . ’ , . - , . . - , ’ . . T HE S U N D U R ING E A R T H F O RMA TI O N - . as a Special exterior formation , we may conclude that no c ondensation could o ccur unless the radiation of its heat into space exceeded that derived fro m the condensing sun although at the same time the nebulous z one must have conti nuously absorbed the sun s h eat fall ing upon it Under these con ditio ns the r diation of heat into Space from the zone must have been of its initial amount plus that co nstan tly received from the solar centre If w e imagine wh at is most pro bable that at the early time O f condensation by cooling a clouding would be produced in this z one through excess of radiation then the sun s rays absorbed into the zone would be di ffu sed within it so that the radiation w o u ld take place from the zone in all directions , but more p articularly in the exterior pa rts and those perpendic u lar to the plane of o rbit where it w as most O pen to free Space 3 00 Under the above stated conditions W e may consider the effects of the fo rmation of a nebulous planet forming zone upon the amount of r adiation of heat and light that the sun would be able to disperse beyond th is impediment to an exterior planet assumed to be fully formed at the time Then , ass u ming the earth already formed and the s u n contracting in volume before t h e peri od of the formation of an inner planet , as Venus a nebular band or what w e may term the Venus zone would appear across the sun s disc which would contin u e to obstruct a large part of his rays and this would last until the com plete fo rmati on of Venus as a planet The like would again O ccur before the complete formatio n of Mercury W e have appa rently , upon a large scale , nebulae in this condition A fter a nebular planet z one w as detached from the s u n its futu re condensatio n would depend upon co ntingent circumstances In fig 2 7 the possible appearance of the large nebulo u s , ’ . a ‘ . , . , ’ , , . - . - , . , , , ’ - , , , . . - . . 2 244 G en C at , R os se N e . b ula p 90 , . . N O T ES O N T HE N E RU LAR T HE O RY 2 12 . sun is represented partially ob scured by the V enus nebular zone at a certain stage of its condensation - . Fi g 2 7 . 301 . If Venus or Mercury , from inequality of distrib u tion of neb u lar matter after the time when their zone rings were left by the sun or from any following disturbi n g cause as the intrusion of a comet condensed at first into a nebular globe as just proposed for the earth ; then this globe after its formation would in time concentrate to an intensely heated n u cleus at its centre This nebular system wo ul d obstruct the s u n s light through cloudiness at its early period of formation but afterwards for another following perio d, when it became incandescent , it would present the same light and heat giving radiation as that of the neb u lous sun to the surface of an exterior planet or greater in propor tion to its visible surface and its state This ne w formed planet as before stated would therefore be obstru ctive to light and heat from the sun if it was nebulous , or a u xili ary to it if it was incandescent In either case this excess or defect of light and heat would occur in periods of the newly form ed plan et s synodic revol u tion in relation to an exterior planet producing in either case intermittent periods of intensity of radiation of light and he a t upon the exterior planet 3 0 2 A fter th e periods of the entire condensation of a newly formed pla n et to non obstr u ctive or non auxi li ary heat . - , , , , - , . ’ - , - . , , . ’ - , . . - - - N OT ES O N T HE N EB U LA R T HE O RY 2 14 . nebulous sun as a dark band The local condensation within the neb u lar band w ould ultimately form Venus into a large globular nebulous planet the clouding e ffects of which when moving ove r the sun s disc would diminish the sun s heat in transit and make it therefore in te rmittent in intensity with regard to the earth as just stated , in periods of 5 8 4 d ays This passing of the neb u lous planet over th e large nebulous sun at th e time o f inferior conjunction might possibly at first nearly obscure his light and heat at other times exceeding nin e te nth s of the period of revolution , the n ebula r s u n wo u ld appear bright and open 30 5 It will be seen o n examining the conditions just pro posed which must be incidental to inferio r planet formatio n as regards the earth , that there were nine somewhat distinct periods of minus and plus sol ar radiation , therefore of greater or less h eat and light radiation , affectin g the formation or depositions of matter upon the earth s surfac e These may conveniently be d efined to Show the e ffective state of th e sun as a radiating body under the entirely nebular conditions proposed during the formation of V enus and Mercur y as far as they wo u ld affect the earth 1 P er iod of open r a dia tion of bright nebulous li ght and heat lasting from the separation of the earth z on e from the su n until the commencement of the condensation of the Venus zone , d u rin g part of which pe riod the earth was a nebulous globe 2 P eri od of n ebu lou s obs cu r ity of the sun caused by an absorptio n band across the sun s disc perl od of d ull nebulo u s light and h eat lasting from the early part o f the condensa tion of the Ven u s zone until its formatio n as a nebul ous planet 3 Inter mittent light a nd d u ll p er iod s o f abou t 5 84 days , the bright periods much exceeding the dull periods and 1n creasing in brightness from the time of the condensation of Venus to a globular nebulous planet until it became non . - , ’ ’ , . , , _ . . - , ’ . , . . , - u - . . ’ - . . D I S TIN CT S O LAR HEA TIN G P ER I O DS 215 . bstructive to solar radiation P eriod of great disturbance of local conditions of deposition u pon the earth 4 P er iod of in ter mi tten t ex ce s s of b r ight n eb u lous light a nd hea t caused by the presence of Ven u s as an incandescent body partic ularly near the period of transit lasting from the t ime of condensation of Venus to an incandescent liquid or solid planet until it ceased to be in any degree auxiliary to the s u n s heat 5 Se con d p eriod of br ight Op e n light of the s u n lasting till the co mmencement of the formation of the Mercury zone 6 P er iod of n eb u lo u s obs cu r ity by a d en s e b a n d a cr os s the s u n s d i s c lasting from the early part of the condensation of the Mercury zone u ntil the complete fo rmation of Mercury as a nebulous planet 7 S econd p eri od of in ter mitten t light a nd du ll p er iod s o f about 1 1 6 days , the bright periods much exceeding the d ul l periods , the light increasing with time , lasting from the time of condensation of Mercury to a nebulous globular planet until it became non O bstructive to solar radiation P eriod of local di sturbance of systematic strati fi cation of disintegrated m atter upon the earth 8 S eco nd p er iod of a u x ilia ry light a nd hea t when Merc u ry became an in candescent globe , lasting until it ceased to add to the sun s light and heat The whole period much less active than the corresponding period of Venus condensation 9 T hir d op en p eriod of b right light lastin g from t he com l e te formation of Mercury as a non auxiliary light giving p planet until the present period of intense solar radiation and for all future time of e ffective solar energy 3 0 6 I nflu ence of I nclin a tion of the O r bits of I nferio r P la nets — n will be seen with regard to the Ven u s n E t r i i t I t d cc e c a y zone and the second period of dull nebulo u s light, that owing to the inclination of the plan e of the orbit of Ven u s 3 u nless the nebular zone had a sectional diameter of abo u t 1 0 million miles t ransverse to this plane it would n ot O . . . , , ’ . . , - . . ’ , - . . - . . . , ’ . . . , - - . . . ° , , N O T ES O N T HE NEB U LAR T HE O RY 2 16 . continuously cover the centre of the s u n s disc , S O that I t wo u ld appear to shift about from north to south in synodic periods the entire variation of which would take ab out 2 43 years This would occur u ntil its condensation into a n eb u lar globe The same conditions as described above would occur in the sixth period with the Mercury zone ; but in this case we h ave an inclination of orbit of 7 with great eccentricity, so that the centre of the sun s disc would be covered by a neb u lar band of 5 millions of miles and if it were of this diameter transverse to the plan e of orbit its e ffects u pon the diminished solar disc wo u ld be nearly the same as that of Venus b u t in shorter periods of 7 1 3 or 4 6 years Under these conditio n s the dull periods proposed wo u ld be in degree intermittent and produce great changes in the atmospheric conditions of the earth 3 0 7 A t the formation of a nebulous globe in the early part of the sixth and seventh intermittent periods it is pos sible that each of the planets Ven us and Mercury , when a nebu la s u btended as great an angle at the earth as the neb ular sun of these separate periods In this manner the sun wo u ld be obscured at every inferior conjunction and have its disc partly obscured for nearly one tenth of the partic u lar planet s synodic period This intermittent condition would probably produce greater effects u pon the earth s atmosphere , and therefore upon deposition of rocks than the dull periods , second and sixth previously considered 3 0 8 It is scarcely possible to realize the enormous e ffects that would be produced by the obscuration of the sun for a fe w days only b u t very possibly this was only partial If actu al nearly the whole of the waters of the vapour laden atmosphere wo uld be precipitated Terrestrial organic life woul d be de s troyed by the sudden cold Inland lakes and rivers and p a rt of the ocean wo u ld be frozen so that an entire organic in animal life might follo w, this bein g possibly change ’ . . , . . - ° ’ , , , , . , . . , , . ’ . ’ , . , . . , , - . . , , , 2 18 N O T ES O N T HE NE B U LA R T HE O R Y . G enera l E f ects of the la rge N ebu lou s S u n up on the ’ — E a r th s M eteorologica l Cond ition P erhaps th e most distinctly 3 10 . important condition that wo u ld be due to a large nebular sun free from the disturbing effects of planeta ry formation , would be that the w hole of the earth might be diurnally lighte d and heated by the s u n , and that this di ffusion of light and heat would establish very cahn conditions in the atmosphere The tropics wo u ld n ot be excessively heated and the polar regions would receive at all times direct sun s rays , so that a ssuming the body of t he earth had cooled below a temp erat u re to affect the evaporation o f the oceanic surface there wo u ld not be the excess of evaporation and expansion of air and vapour over the tropics as at prese nt , due to solar radiation or the great excess of condensation in polar areas to produce the violent atmosph eric cur r ents we h ave at present in storms and cyclones 3 11 A t the period when the sun had condensed to the orbit of Venus , the diameter of his disc would exceed so that it wo u ld present a l u minous surface of this angle and the poles even in mid winter, would have a segment of the sun shining daily through an arc of 1 0 versed S ine A t the period when the sun had decreased to the dimensions of the orbit of Mercury it would still pre sent an angle of There fore , e v e n in mid winter , there wo u ld be at least a d aily twilight Altogether the general conditions of the globe wo u ld be very equ able as compared with the present , altho u gh , of course , the polar area would still be colder, as being more open to free radiation If on the other hand we conside r in contrast the conditions that would be active d u ring the shorter intermittent periods 2 , 3 4, 6 , 7 , and 8 , 3 0 5, the atmosphere wo u ld at these times be subj ect to constant disturbance by high wind s and heavy rams in intermittent hot and cold periods , which wo u ld ca u se rapid decomposition of rocks and generally prod u ce intermittent thin planes of varied strati fi cati on 3 1 2 A s regards depo s iti ons of matter upon th e earth fr om ’ , . ’ , , , , . . , - , ° . - . , . , , , . ' . E FFE CT S O F LARGE NE B U L O U S S U N 2 19 . degradation of rocks these m u st depend always in amo u nt u pon the atmospheric conditions present We might have a long period d u ring which depositions went on very Slowly A period of light rains and nearly constant s u nshine in which very little matter wo uld be detached from the rocks or bro u ght down to the sea level d u ring which time the con ditions of life being constant there wo u ld be very little reason for any change of form and the strata of u niversal matter deposited altho u gh u niform wo u ld be very inco mmens u rate O n the other hand we might have periods of with the time heavy rainfall and frost in hi gh lands d u ring which ti m e do gradation and deposition w o u ld be very rapid and the strata formed be very deep for the limited time of formation With great change of atmospheric conditions there wo u ld be great str u ggles for existence in which favo u rable varieties of life forms only wo u ld s u rvive S o that on the whole , no depth of geolo gi cal strati fi cation nor even changes of animal life wi ll indicate with any exact ness the extent of time of a geolo g ical period unl ess we p ossess other data for conside r ation , . . , - , , , , , , , . , . , . , , , . [ 2 20 ] CH A P T E R X V . T IM E E LE M ENT S I N T HE S O LAR S YS T E M P AR TICULARLY F O R E S TIMATI NG T H E AG E O F T HE E AR T H AND FO R IT S G E O L O G IC AL P ER I O D S C O NS I DERATI O N OF , . 3 13 T ime of Con de n s a tion of ou r S ola r S y s tem —This may . . possibly be fo u nd with some degree of approximation by estimating the rate of contraction of the o riginal nebula upon For this c alculation w e may thermodynamic principles take the dimensions of the nebula at any period of its con trac t ion when it occupied a space within the extent of o u r sol a r planetary system until the present time , when it has contra cted to the small volume of our sun In this propo s itio n we again accept the probability that the nebula was originally one of th e symmetrical planetary nebul ae of whi ch w e possess many instances O pen to astro n omical observation A probable form being that of one of the nebulae Shown S uch a nebula u nder the conditions P late II a b c or d we have assumed thro u gho u t this work must have condensed constantly by radiation of heat from its surface , and at the same time have formed our sun by concentration of matter a b out the centre We may form an estimate of the extent of this nebula at least at a certain period by the extent of the extre m e planetary orbits of our system and if w e kne w the rate of radiation a t the surface and of concentration of matter at the centre or sun as a heat focus w e could then estimate the time the system may have taken to arrive at its present state . - . . , . , , , . , . , , , . 222 N O T ES O N T HE NEB U LAR T H E O R Y . freely dispensed into O pen space Therefore w e may con v e nie ntly consider the present con t r action o f t h e sun as a periodical constant without great risk of error , for which w e may obtain some data from thermodyn amic laws O n the other hand , the con t raction of the atte nuated medium o r pneuma which formed th e limiting volume , as this has practically disappea r ed fro m the solar sys tem must have p r oceeded at a higher rate F or this calculation w e may ind u lge in certain assumptions which may give approximate r esults 3 17 A ccording to the original calculatio n o f H elmholt z th e sun s radius is diminishing at the p resent time by part in 2 0 00 years or 1 2 6 3 2 feet annually This estimate h as since been S lightly increased F or an even number we will take 1 30 feet , w hich for convenience may be considered as a constant of time condensation of the solar o r n u cleus nebula fr o m the early period which we are now considering 3 1 8 A S regards the limiting supe rfi cial cont raction o f the pneuma , we will suppose that it condensed in some degree in proportion to its tenuity or distance from t h e solar centre A t a distant position it may have been r apid on the sun at present it may have nearly ceased We will take i t that at the period when the solar nebula extended to the orbit of N eptune the mean annual decrease of its r adius w a s , as an extrem e condition , possibly equal to tw o miles Upon thes e data time elements may be ca lculated 3 1 9 F or the time of condensation of th e solar neb ula to the present condition of our sun we will call the radius o r mean distance of the o r bit of Neptune in fe et, r ; the radial contraction of the solar nebula equal to tw o miles o r feet , f and the constant of central solar contractio n It is then clear th at f diminishes as it is S = 1 3 0 feet assumed to do , at a uniform rate until it has vanished at the present time , its mean diminutio n was half this rate The r e . . , , ‘ . . . ’ : . . - . . . . . . . , , . , . TIM E O F C O ND ENSATIO N or S O LAR SYS T EM 223 . fore th e mean total diminution of the neb u la for the limit of nebula r co ndensation from the period will be ' divided into r gives 7 S + § g l S - - . This =t, time ; whic h w e fi nd to be 2 7 2 3 millions of years —the suggested time of condensation of the solar nebula from the dimensions o f the orbit of N eptune to those of our present sun 3 2 0 T aking the same form ula for the earth calling its orbit radi u s or distance from the sun r or about 316 of r w e . . , ' - 1 , T have f a) =t ’ +s ’ , which gives t (earth time ) about 1 00 8 millions - of years or, roughly 1000 mill ions of years for th e time of the condensatio n of the sola r nebula from th e earth s orbit until the present time 3 2 1 The abo ve calculatio n may be take n as q uite the inferior limit of time ; no allowance has been made for the condensation at the solar focus which ul timately formed our present sun which might increase in volume directly as the increase of gravitation from nearness of the more refractory matter to this centre possibly in inverse proportion to the distances of all par ts of the nebulous matter fro m the centre The increasing compression of matter about the centre would more perfectly conserve the heat of the system su rrounded, as it wo uld be , by a denser nebular atmosphere according to L ane s law , § 1 1 p 1 1 There fore it is not probable that the decrease of volume from the e ffects of ou te r surface radiation of the nebula would progress at quite so hi gh a r ate as that just stated We will n ow consider the conditions o f t ime— variations o f heat and light from the sun during its condensation , from the period when we assume it to have been a nebulous spheroid of the radius of the earth s orbit until the present time 3 2 2 D is tr ibu tion of Time up o n the E a r th thr oughou t the , , , ’ . . , , . , ’ , . . . ’ . . N O T ES O N T HE NEB U LAR T HE O R Y 224 . n i t h on de n s a tion o the S u n a n d the I nfer ior e r iod s o e C y gp f f va r P la nets — This may be taken from the calculation just given of 1 0 00 m illions of years making the divisions of time by fi xing certain radii o f the nebulous s u n to correspond with periods previo u sly defi ned, for the probable clouding an d auxili ary e ffects upon the sun s exterior radiati on during planetary formation In this proposition we may possibly divide the pe ri od of radian t energy into four classes con sistent with our table We may take solar energy to be — — open to be obstructed to be inter m ittently obstructed and — open or to be increased by th e energy of the conde n s e d planet when this was in an incandescent state The d u ration of these periods was probably proportional to the r ate of condensation I will take as hypothesis the formation of the nebular z one of Ven u s to have been obstru ctive to solar radiation during the sun s contraction for one fourth of the dis tance between the or b its o f the earth and O f Venus That as soon as the sun s nebula was quite free from the Venus zone Ven u s wo u ld co m mence to form a nebulo u s globe We will suppose that this neb u lo u s globe remained intermittently obstructive to the s u n s rays until the s u n had contracted to one eighth the distance between the orbits of Venus and o f Mercury That Ven u s then gradually contracted and bec a me by incandescence a bright body of possibly not m ore than six ti mes its present radius A t this time it would be com parable with the s u n in de n sity and probably for a short period much brighter than the nebulous sun even possibly as bright as o u r present sun This state of Ven u s would slo w ly cool down and possibly when the sun had contracted to one fourth the distance between the orbits of Venus and Mercu ry , Venus had ceased to become in any measurable degree a heat and light gi ving factor to the earth After the condensation of Venus as a cool planet shrinking to nearly its present dimensions , the sun would remain O pen u ntil the condensation to form Mercury Merc u ry wo u ld then go . , , ’ . . . . ’ . ’ - . ’ . . , , . , - . . , N O T ES O N T HE NEB U LAR T HE O RY 226 . the rotation of the earth at the present time but as we presume that this zone wo u ld be partially condensed to discrete matter from exterior matter drifting in spiral paths thereto which in falling upon the earth would tend to ca u se a negative rotation the cross section of the zone ring proposed above may not be too great Thi s zone after d et achment co u ld not m aintain its heat to the extent form erly sugg ested for the s urface of the nebulo u s sun as w e have no large intense centralized source of internal heat comp a rable with th a t of the sun within the zone ring so that its heat would depend u pon its condensation only a n d as this zone wo u ld possess m u ch larger s u r face relatively to volume than the sun it woul d be O pen more freely to radiation and contract at certainly q u ite double the rate of the sun This would a s before stated o c cur principally at its o u ter s u rface away from the s u n and at all outward angles trans verse to the plane of orbit as no central heat from the sun could fall u pon these parts In thi s manner the trans verse radi ation o f heat from the z one wo u ld make the to tal contraction of the zone proportional to its sectional radi u s Upon this proposition taking the sun s neb ulo u s contraction a t the position of the orbit of the earth as before proposed - - , . , - , , , , , , . , , , , . . ’ Z S , which will be 4 8 2 feet in a year , or at the position 3 of the o u ter s u rfa ce of the ring abo u t 50 0 feet in a year denoting this by a the number of miles in the ring section by b the n u mber of feet to a mile by c and dividing by 2 for the cont ra ction of opposite sides of the ring and again by 2 to , - , , , make the contraction do u ble of the sun s we have ’ , x 52 8 0 bc 2 x 2a years , for the period of con 2 x 2 x 500 ’ traction of the earth s neb u lous zone upon itself to the position of the a xis of the ring 3 2 5 In the above stated proposition the cont racti on of the . . - F O R M ATI O N O F T HE NEB U L O U S EAR T H 227 . ’ earth s zone ring upon itself can only be considered the o re ti cally as the m od u s Op er a n di To give the moon its revolution period and the earth its rotation w e m u st i m agine a separa tion to have occurred at some part of the neb u lar zone under which condition simultaneo u sly wit h the contraction of the section of the ring it w as being drawn together by gravita tion acting in the linear direction of its circu m ference so as to form a neb u lar globe This would of c ourse materially complica te the condition s of the calc ulation of ti m e b y a differentiation di ffi cult to follow ; but a s the radiation surfa ce wo uld certainly b e constantly lessened d u ring the time of glob u lar condensation w e m ay prolong the time possible by ne a rly do u ble the a m o u nt of the ti m e s u ggested say to 5 0 millions of years for th e c ondens ation of our e a rth from a nebulous zone to a liquid globe at a n intense white heat s u rro u nded as it must necessarily have been by an extensive nebulo u s atmosphere This globe would possibly be for m ed principally of iron with the presence of other highly refractory metals and beco m e the permanent n u cle u s of m u ch the gre ater part of the volu m e of our present earth upon which the deposition of oxidized matter may have been s uperimposed upon principles already disc u ssed The s u perficial conditions are represented by the geological periods of the earth to be considered in the following chapter - . , , , , ‘ . , , , , , , , . , , . , . 228 [ ] C H AP TE R X V I . G EO L O G I CAL P ER I OD S C O RRELA T ED W IT H A S T R O N O M ICA L P HEN O M ENA 32 6 . G eologica l P eriods —L eaving of consideration an notice of the early paroxysmal school of y eminent geolo gists among whom M u rchison S Miller may be particularly distinguished w h o have made attentive study of a sin gle gro u p of ancient rocks have c ome to the general concl u sion that there have been special periods in the past which have been conducive to the formation of special kinds of rocks which , with the fossils therein con ta in e d, are very distinguishable from other periods T hat in and during the different periods for an im m e n sity of time wide areas of the globe were affected by like condi tions from causes unknown S o that if we ta ke , for instance as the most striking example the S ilurian pe riod of Murchison , this appears to be characterized by the presence of fi n ely deposited rocks in an entire broad band of u nequ al thickness surrounding the N orthern H emisphere containing fossils of a similar s u ccession of faunas , marked by partic u lar zones of genera a n d species It is probable also , j u dging from rock texture and orga nic remains that similar general conditions affected the l a nd areas of the S o u thern H e m isphere during the same lengthened period A school of thought , founded by the geni u s of H utton an d developed b y L yell wherein due recognition , n ot previously ta ken is m ade of contemporary formations has arrived at . ou t , , , , , “ . , . , , - , - . , - . , , , N O T ES O N T HE NEB U LAR T HE O RY 230 . O f this may be mentioned the constant decrement of the sun s volu m e the condensations of the sol a r neb ular matter at critical temperat ures the astronomical constants of vari a tion , of eccentricity of orbit , precession of the eq u inoxes and change of obliquity of axis and possi b ly also some changes due to the revolution of the magnetic pole which have not yet been recognized 3 2 9 B y a general consensus of geological O pinio n the c oncl u sion is arrived a t that the long periods of deposition of s u rface r ocks which are O pen to observation can b ut be representatio ns of detached u nits of geological ti me This is sho w n most clearly in the great changes of animal remains between one st ratu m or set of strata and the next, in which the lost period of evolution often appears to be much greater than the long period made evident by the slow deposition of a formation or indeed sometimes of a single stratum That this should be so may be inferred from the slow but constant action of meteorological forces alone in disintegrating rocks which must always have been active upon the rocks protr u ded above the oceanic surface and have prod u ced continuous contiguous de position of these rocks in another form at a lo w er level This deposi tion w hich is ge n eral over the floor of the ocean does not necessarily at any period beco m e visible as s u rface rock u nless it is elev a ted by pl utonic forces above the level of the oceanic surface The evidences of the fossil and other remains in the rocks which remain permanent as it were by the accident of being proje cted above oceanic level Show in m any cases that o u r visible s u rface rocks may have been elevated locally by plutonic forces and have been degraded by meteoric forces many times before they prod u ced any of the present finely disintegrated strata The materials of the rocks appear after disintegration to be sor ted out as it were so as to depart entirely in stru ctu re from their original and therefore they must lose their former history c haracter ’ - , , , , . - . . , , . , , - . , , - . , , . GE O L O GIC AL PER I O DS 23 1 . Th e whole vestiges th a t re ma in of the long periods of the geologi c al p a s t represented by detached u nits genera lly of slow deposition of m inera l m a tte r bro u ght do w n b y the a ction of ra in , sno w wind and tides together with the large ac cu m u l atio n of rem ains of ani mal a n d vegeta ble life that h a ve es c aped after degradation amo unt altogether to some 1 8 to 20 miles in thi cknes s Of deposition only a n d these in s eparate deta ched u nits a r e all w e possess fro m which to draw a n inference y whatever of the long period of past geological ti m e 3 3 0 The above sta te m ent as regards the extent of past geological time in its entirety does not pre cl u de our recog n it io n if w e l e a s e t o a cc ept it of the evidences of cert a in p c onditions th a t r u led for certain long periods for whi c h we m ay attrib u te a ctive ca u ses Th u s as an inst ance d u ring the gre at S il u rian period before mentioned w e find locally even miles in thickness of finely a n d slowly deposited rocks in even stratification in a system which appears to have extended to a greater or less depth over the l a rger part of the N orthern H emisphere In this w e find here a nd there ripple marked surfac es left of the an cient q uies c ent oceans a n d of rain marks on the s m ooth sandy bea c hes O f the period W e are therefore upon these premises bo u nd to concl u de that during this ti m e we have a period of mild qu iescent atmospheri c conditions and of the m inimum effect of tid al action , possibly with heavy rainfa ll for which causes m ay be fairly s u ggested This s u bject will n o w be considered generally by taking the separate early periods defi ned by modern geologists and endeavo u ring to correla te them with the periodic conditions which have been proposed par ticu larly with regard to the a ction of the e ffective radiation of the s u n s h eat an d of his conte m porary vol u me u nder circ umstances which have been already discu ssed 3 3 1 A r chwa n P eriod — A fter the metallic nu cle u s of the earth w a s formed we sho u ld have the possible approach of lighter neb ular matter a nd its union with the surrounding , , , , , , . . , , , , . , , , - - . , . , , , . , ’ . . N O T ES O N T HE NE B U LAR T HE O RY 232 . oxygen and halogens present e ntaili n g complicate d chemical processes the principal factors of whi ch wo u ld b e the con de n sation and d eposition of oxides a n d h a loids upon the cooler polar areas of the earth as before proposed The great atmospheric pressure would cause a lso the heavy rains o f highly heated water in circumpolar areas as before stated The hot rains u nder the great press u re would dissolve the siliceo u s aluminous and calcareo u s ro cks that w ere already precipitated from the condensed nebula ne ar the poles and those also that were crowding outwards in pressure folds under the influence of gravitation whilst floa ting u pon the central de n se liq u id metallic base matter B y the hot rains t he protr u ding rocks as they were co n s ta n tly d i s s o lv e d at thei r s u rfac es would be brought down into the hollo w s 3 3 2 A fter w ards as the atmosphere cooled the se m i liq uid ro cks would be grad u ally deposited in a cry s talline form in These depositions fro m aqueous h ollows and lake basins sol u tion probably produced the foliated crystalline rocks of the period most largely in gneiss , but partially also in mic a and hornb lende schists , chlorite Slate and crystalline lime stone 3 3 3 The land areas formed of newly deposited rocks at the close of the A rch aean period would be left elevated by o u t w ard pressure of plutonic forces thro u gh polar press u res to great hei ght at a distance around the poles These rocks being constantly ov e rfl ow n with hot water left a system of permanent rocks , as before stated lo c ally thrown u p at any point of minor resistance upon the first thin crust of the earth or retained at the lower levels deposited from sol u tion from The constant o u tflow of the i t s saturated m ineral waters lower heated viscid rocks moving into equ ilibrium to gravita ti o nal position ca u sed the upheavals from resistance to take place more particularly at the rounded borders of continental lands fro m c a uses already pointed out The general land s u rface therefore w as thereby covered with lake basins formed , ' , , , . . . , , - - . . , . - - , . , . - - . . , , . , . , , , - 234 NO T ES O N T HE NEB U LAR T HE O RY . excess of polar radiation cooling the superinc u mbent vapo u r into rain clo u ds of sufficiently low te m perature u pon pre cipi t a tion to allow the commen c ement of organic li fe in polar regions This n e w li fe the cause of the beginning of which m u st rest in the G reat Unknown , would be afterwards slowly distributed in s uccession fu rther and further from the poles as the latit u de temperature fell by th e contin u ous sec u lar cooli n g at greater distance therefrom The distrib u tion u nder changes of circumstances wo u ld cause local variation of Species o u twards from the po le for adaptability to the surface conditions ; b ut as life variation is a very slow process there wo u ld still be strong a ffi nities in the newer anim a l life as it extended with that which preceded its departure from its primitive polar home 3 3 6 The A rch aean rocks are here taken to be the earliest chilled s u perficial rocks for the greater part projected to the surface by plutonic forces and a c ted upon by the ruling con diti on s present ; b u t if we consider that the same forces are still evidently active to a certai n extent in prod u cing plutonic and volcanic phenomena we can b u t take it that the system is m ore or less a contin u ous one lasting u ntil the present time The o u tward form of these rocks partic ul arly the mode of crystallization must c ertainly vary in time from the di fferences of s u rface conditions of the globe in the heat maintain e d at the surfa ce the press u re O f the atmosphere the amo u nt of aqueo u s vapour , and the m as s of such elements projected to or beneath the s u rfa c e at any period b u t the materials must vary very little in che mical co m position comi n g as they are here s u ggested to do fro m the same u niversal source of exterior nebular deposition 3 3 7 A s w e leave the A rch aean perio d we have n ew lights breaking u pon us to g u ide u s to the evidences of past time shown in the somewhat systematic evolution of organic life B u t in this we have to contend with a constant eras u re of e vidences thro u gh th e activity of th e atmospheric phenomena - . , - . - - , . . , , . , , - , , , , , . . , . GE O L O GI CAL PER I O DS 23 5 . within any period as before stated which may leave u s b u t faint indices of the changes through which the life and materi als of s u rfac e rocks may h ave passed before the rocks tha t remain to observation were formed Th u s in the feet or so of old Cambrian an d S ilurian ro cks to be presently considered , there is little evidence that we can derive from o u r experience of rock degradation and deposition th at these rocks were formed directly fro m Ar c hae a n rocks In deed we m u st alm ost conclude from the a verage fine str ucture of the S il u rians that they may have been c h u rned u p by atmospheric for c es very many times d u ring the A rch ma n period before they arrived at th e state in which we find them in the S ilu ri a ns W hat w e appear to possess indices of in rock texture in m a ny cases is that there were within the A rch ae a n period so m e speci a l periods of deposition , separated possibly by longer periods wherein rocks were deposited and disintegrated many ti m es before they formed the Strata we find open to O bservation whi ch may have been formed by a speci a l lo c al deposition at a certa in period It is also probable that these periods of deposition were apart from a ny uniform conditions a nd depended grea tly upon certain spe cial conditions that were a ctive u pon the globe from the astronomical causes already dis c u ssed 3 3 8 Ca m b r o S ilu r ia n P e riod — L ong before the condensa tion of the Ven u s zone previously described nebulo u s matter condensed interior to the earth s or b it would be floating in Spiral bands towards this zone s u nward obsc u ring a large part of the light and heat of the then l a rge neb u lous s u n so th at the obsc u ration cau sed b y the con densation of the Venus zone when it was abandoned by the sun might not be very s u dden ; but as this zone cooled the obsc u rity wo u ld c onstantly increase up to a cert a in point of its condensation possibly even so fa r cooling the e a rth as to produce a tem o rar y glacial period abo u t the poles p 3 3 9 A t the co m mence m ent of the for m ation of the Ven u s zone the vapour laden atmosphere wo u ld exert a press u re , , - . . . - , , . . . - - , ’ , , , - , , . . - , N O T ES O N T HE NEB U LAR T HE O RY 23 6 . much greater t han the present The heavy temperate rains that fell at first over the polar areas only, would gradually extend over the present temperate regions by which th e s u rfa ce rocks would be worn off and washed down to the s e a shores and pelagic life Spreading origin ally from the poles would inhabit these temperate shores The shores by the ex c essive rainfall w ould be again covered with n e w deposits brought down from the still elevated A rch aean rocks in w hich the mineral rem ains of organic life would b e b u rie d u nti l the sea bottom extended o u tward to a great area from the co a st These deposits wo u ld be again fu rther di ffused by oceanic c u rrents The sea wo u ld constantly but slowly rise by the a mo u nt of deposition in proportion to the inland denudation an d in a s mall degree by the loss of vapour in the atmosphere and overflow its former bo u ndaries 3 40 The polar regions , by the effect of constant ra i nfall wo u ld beco m e degraded as they wo u ld be also falling in temperature through the obscurity of the s u n until in pro cess of time the cold would be s u fficient at th e most obsc u re period to ca u se life to become extinct through wide circum pol a r regions A t the same time u nder diminished heat from the sun marine life Spreading o u twards over the then tem perate l atit u des fro m the polar regions wo u ld be supported by convection currents from the warmer s ubmarine rocks not yet coo led to surface temperature , so that life would extend over the entire temperate and tropical regions of the globe 3 4 1 In the most obscure part of the period the initial heat of the globe s u perficially cooled down would maintain the deep waters in the tropic al and temperate latitu des upon its surfa c e at a fairly e q u able temperature favourable to marine life A lthough under these conditions if by ebb of tides or other c ir c u m s tance s such m arine li fe was exposed in restricted areas in circumpolar regions witho u t the circulation of warm currents it would be destroyed by the low temperature . , ‘ - , . , , " , - . . , . , . , , , , . , , , - . . , , . , , N OT ES O N T HE NEB ULAR T HE O RY 238 . as before stated 1 53 , and the possibility at this time , from the large disc of the dull nebulous sun subtending an angle as proposed , of 6 7 degrees , that the small amount of heat derived from the sun w a s so distributed over temper ate regions that it was partic u larly conducive to the rapid spread of marine life in the constantly su b aq u e o usly warmed seas In fact it was as the fossil remains indicate a perfectly equ able qu iescent temperate time although under very — consta nt rainfall ex cept only that the polar regions in the m ost obscure time may have been deeply covered with sno w and ice as before stated to produce about these regions a te mporary glacial period with contemporary elevation of s u rface rocks elsewhere u pon principles already discussed D uring the p u bli cation of this work i t has come to my no tice that the equable condition of S ilurian time as being d u e to a large nebulous s u n , has been suggested by M 0 W olf in his able work L es H ypoth eses C osmogoniques , p 3 2 3 44 The general evidences of the Camb r o S ilurian time indicate th a t comparatively Shallow seas prevailed or extensive The frail shells indica t e fi at Shores which abounded with life quiescent oceans free from storms and from much ti dal a ction These Shores were constantly thickened by n e w deposition of fi ne sands , m u d or calcareous concretions , conseq u ently to rem ain Shallow they m u st have s u nk or the ocean must have risen Most probably both these conditions occ u rred The recently highly heated rocks would be Slowly Shrinking by loss of heat in s uperficial strata ; and at the same time in this early a ge there would be a slo w u n d erfl ow o f the still viscid lo w er heated rocks that were moving equator ward to gravitation equilibrium At the sam e time the excess of rainfall wo uld be lowering the surface rocks and in this degree raising the oceanic level as before stated , the w hole co ndition causing great depths of Shore deposits The ripple marks which give the evidences of quiescent times , independently of the even stratifi cation were possibly preserved to us by , , " - , . , , , , - . , . . ’ . . - . . . , . . - - - . - , - . , G E O L O GI C AL P ER IO D S 239 . occ a sional light clouds of dry dust blo w n over them from the hi gher la nds d u ring summer 3 4 5 D evon ia n P eriod — W hen the nebular z one of Venus had beco m e broken and ha d co m men ced to condense to a n ebulo u s planet of large di am eter its disc would alternately obscu re the sun and leave it O pen A t such a ti m e the in t ensi ty of the he at and light of the s u n would be inter mittent in periods of the synodic inferior conj u nctions of Ven u s S uch intermittent periods , by causing periodically rapid ch a nges of temperat u re from m ild to intense cold would render the land s u rfa c e incap able of m aintaining either vegetable or anim a l life and be also destr u ctive of littora l m ollusk life B ut in the O pen ocean where such at m ospheric changes due to temperat ure wo u ld create great distu rbance and thereby increase of the o c eani c circulation deep sea m oll u sks and fi shes of migratory habit could s u rvive It is at this period we have possibly the early progressive evol u tion of distinctly vertebrate fishes whi ch appear to be in a certain degree allied to the later forms of cr u sta ceans and to the embryo forms of the fu t u re reptiles possibly evolved partly I would suggest by ex t ension of the cauda l parts of these e arly ani mals so that cert ain early crusta ceans represent the head only of the l ater fishes These fishes , whi ch came to perfect development in the period represented by the O ld Re d S andstone in G reat B ritain were evidently forms a dapted to the required conditions of migratory habit They possessed in m ost cases powerful fins and tails the fins in some cases being possibly adapted to rapid sur face swi mming such fishes of the entire family of the A sterolepid ae a s Coccos teu s decipz en s P ter z c/z t/zy s oblongus O ther fishes were evidently adapted to Cep lz a la sp z s Lye llz deep se a swi mm ing as H o loP ty chz u s O s teo lep z s maj or a n d many o t her forms all of which were equally ad a pted to m igratory life 3 4 6 A fter the int ermittent obsc u re pe riod there wo u ld be . . . . , - , . , , , - . , , , , . , . , , ’ ‘ , , ' ' , ' . ' - , , , . . ' 2 40 N OT ES O N T HE NEB U LAR T HE O RY . a period in which the condensin g globe of Venus wo u ld become ne u tral in its heating e ffects being neither obst ru ctive nor a u xilia ry to the sun s heat A t this period we have all the conditions condu c ive to the spre ad of vegeta ble life over the land s u rface 3 4 7 From the period of greatest obsc u rity by the co u den sation of the neb u lar globe of Venus to tha t of ne u tra lity of this planet s effects upon the sun s radiation wo u ld be the t ime of greatest deposition of sno w u pon the c ooler portions of the earth d u ring the winter solstice Through this period the earth s crust being m u ch thinner than at present , wo u ld be more sensitive to u pheaval and intrusion of plutonic m atter beneath the s u rface from press u re of the snow at the poles bearing down the polar surfa ce rocks There w o u ld th e re fo re b e evidence of plutonic action taken in its broadest sense almost syn odi cally d u ring this period , elevating im mense districts of land areas in steps W hen Ven u s had condensed to an incandescent state plutonic and volcanic action wo u ld cease and the entire snow at the poles would be melted , so that there would be a retu rn to p u rely aq u eous conditions with elevation of sea level The entire period represented by the D evonian in G re at B ritain I ass ume to have lasted ab o u t 6 0 m illions of years , extending beyond the third period of our table — This wo u ld commence in the 4 u P r i o d 3 8 Ca r b on ifero s e interm ittent bright fourth period of Ou r table The tempe r a t u re of the air wo u ld be raised at the perio d of internal co njunction of Ven u s and gradually fall so that there wo u ld be intermittent periods of bright s u nshine followed by heavy rains This wo u ld produce thin intermittent stratification of rocks u pon the Shores and in inland l akes These lakes would over flo w at the rainy period and c u t incipient r1 v e r channels leav ing thereby extensive marsh la n ds which wo u ld represent in series exten ding co a stwards the rivers of the tim e W hen th e s u n beca m e O p e n in the fi fth period these marsh lands , , ’ . - . . ’ ’ , . ’ , . . , , ‘ - . , - . . . . . . . , . . - - , , . - . N O T ES O N T HE NEB U LAR T HE O RY 24 2 . the spread of pelagic life would in this latt er ca se cause its d estruction The general cooling of the earth at this period by the obscuration of the s u n s heat therefore pro bably cau sed a steady drain of vapours from the surface of the ocean seas an d lakes , which w a s deposited as snow upon the higher land surface T he lakes on evaporation left saline deposits in their beds co mbined with fine dust or sand blo wn from the higher rocks disintegrated by frost The a c cu mu lation of snow over all the present circumpolar temperate lands caused by its pressure upon the stil l semi fl uid lower rocks the general elevation of lands of the earlier periods more distant from the poles floating these up bodily in some district s and by local disturbance with unconform ity in others 3 5 1 It is during the P ermi an period as it is represented in G reat B ritain that w e find the d y ing out of p al aeoz oic life In the early most obscure period possibly the conditions were such that li fe became extinct within the entire present temperate regions of the globe except in the deep wate rs of the ocean Upon the earth s surface within the tropics alone where the dim s u n could e ffectively di ffu se its direct though obscure rays prevalence of life was possible 3 5 2 In the co n tinuity of life a fter the dull period we hav e directl y the reverse conditions to those that ruled after the earlier du ll S ilurian period We have life s preading from the tropics instead of from the poles The m igratory species that co u ld reach the temperate shores were also generally m u ch more highly organized and locomotive and a dapted to bring in the important factors of animal existence in the n e w era of the Mesozoic period This dull P er m ian period would break into the period of the separation of the Merc ury zone by which an intermittent period wo u ld be cau sed again prod u cing rapid changes of thin strati fi cation of rocks not at fi rst conducive to the existence of organic life ti ll the condensation of Merc u ry . ’ , , - . , . - , , , . . . , ’ . , . , , . . . , . - , , , GE O L O GI CAL PER IO DS 2 43 . eased to obscure the sun What w e may possibly define as the P ermian period lasted nearly through the sixth d u l l period which according to o u r table p 2 2 5 would be about 6 0 millions of years 3 5 3 T r ia s s ic a nd R haetic P er iod s — This division would complete the second dull to bright intermittent period when Mercury was formed as a nebulous planet obsc uring the s u n when in inferior conj u nction The rapid changes prod u ced in temperature wo u ld cause rapid deposition of rocks and greatly restrict the conditions of organic life but gradua lly the volume of Mercury would become less before entering into the state of an incandescent planet and more calm conditions wo u ld prevail The Triassic period would last about 4 7 millions of years completing the open to dull period — 4 u i 3 5 J r a s si c P er od The eighth of our ta ble or the second auxiliary period We again enter into a time partic ularly adapted to the rapid evolu tion and spread of pelagic organic life T he se a Shores by the intermittent rainy conditions due to temperature changes yet al w ays warm became covered with fi ne mud from the lan d a reas bringing down with it abundance of suppo rt for a suitable class of littoral life carrying at the same time into the deeper oceans carbonate of lime in solution available for all forms of life depending upon it This period would extend througho u t the eighth division of our table for abo u t 3 7 milli ons of years c . , , . , . . . , . . . , . . . - . , , - , , . . , 3 55 T ime . Cr eta ceou s a n d E o cene P er iods onwa rds to the p resen t These may have been partly conte mporary if we . imagine that the Chalk was a formation more distant from the ancient shores which was contin u ously over deposited in some areas while elsewhere it w a s covered by argillaceo u s This is taken to rocks as the land s u rfa ce was degraded This period under re present the ninth period of our table would be generally constant dimin u tion of the s u n s disc equable , prod u cing only gentle deposition of rocks locally in drainage basins or in the distant ocean bottom It wo u ld R2 - , , - , . . , ’ , - - . N OT ES O N T HE NEB U LAR T HE O RY 2 44 . otherwise be only subj ect to the set of changes that were due to the condition of the s u n at the critical temperatures of its former nebulous s u rroundings which may have pro du ce d occasionally more or less obscure perio ds to which we may add the changes d u e to eccentricity of orbit and variation of axis which have produced great changes in climate This long period drifts us into the pre se nt time when the sun s disc has become very small relatively to what it was in the past and of intense light and heat T h e period set aside by our table to include the C retaceous and Tertiary periods is 53 2 millions of years This may appear long for the n u mber of superfi cial cha nges that are evident upon the surface from the amount of mineral matter deposited In such a uniform period the variations were probably all local and for the most part intermitt ent through the periodical astronomical changes so that land was alter n ate l deposited and degraded many times without producing y any great entire depth of strata 3 5 6 W ith rega rd to life our only true index of time in this period w e may conclude that where there I s a general constancy of like conditions there is little rea son for chan ge for adaptib ility to the circumstances present part ic ularly if the organis m is elevated to a condition of migratory instinct for accommodation to the seasons Therefore seeing that the changes have been great the evolution period must have been immense to have produced the variation in forms which w e know to have occurred in this period , more particularly in that of the elevation of the scale of the higher mammals The changes within the tertiary period present wonderfu l variations in the str uct u re of the mammalia to give the number of species we at present possess without consideration of the n u mber extinct There is one mark however, of contin u o u s progress throughout all this period—the brai n constantly , , , , . ’ . . . , . , , , , . . , . . , if A pp endix C . , N OT ES O N T HE NEB U LAR T HEO RY 2 46 C entral A sia . T his wo u ld again react on the earth s equi li b rium B oth of these system s wo uld tend to lower the sea level of G re a t B ritain ; b u t the subj ec t is too lar ge to be even sketched in the present treatise 3 6 0 G la cia l P e r iod A s regards this period , whi ch n eces saril comes within the nth division this as a consequence n i y , , of the nat u ral dimin u tion of the s u n s vol u me has been di scussed in Chapter XIII My early r eflections upon thi s s u bject, when strongly imb u ed with the Hu ttonian principles developed by L yell , led me to think that there were probably indices of s u fficient change under local conditions with slight variations of elevation of land areas to account for this epoch in E u rope These concl u sions were mainly based upon my idea that the movements of aerial and oceanic c u rrents are caused by the expansion of the atmosphere and in less degree of the oceanic s u rface by the heat of the sun in its apparen t di u rnal motion thro u gh the tropics driving before it an ex pan sion wave of air and water This as a syste matic motion accordin g to my theory, wo u ld prod u ce whirls o r cyclones lateral to the tropics , the position of which wo ul d depend upo n the resistance of the coast lines Under these conditions the resistances that locate the North Atlantic whirl are the coasts of N orth A meri ca The pec u liar conformation of this coast at the presen t time deflects the N orth Atlantic — whirl into a b i whirl , o f which the northern part that — is , the G ulf S tream crosses t he Atlantic , passes along the coast of N orway enters the A rctic Circle , and is de fl ecte d back to its origin after passing along the coast of G reenland which it leaves glaciated by the cold A rctic current This direction of rotation is quite abnormal to that of any other lateral tropical whirl It is clear, as stated in my paper read before the B ritish As sociation in 1 88 5 T that i f . ’ . - “ . - . . , ’ , . - . , * , - - , . - . - - 0 - , , . . , Fl id p 6 2 6 ‘ u s, ’ . . T B ri t A s soc R ep orts, 18 8 5 p 102 0 . . , . . GE O L O G ICAL PERI O DS 247 . th e lo w er central la nds of North A merica w ere only sunk some 3 0 0 fee t from the mou th of the Mississippi through to Hu dson s B ay a result readily prod u ced by cosmic ca u ses already discu ssed this whirl wo u ld then t ake its nor mal course as other lateral whirls in the S o u th A tl anti c P a cifi c and Indian O cea ns Under these conditions Northern G ree nl and would be placed in the tropical c u rrent and enjoy a very te m perate climate and the retu rning A rctic oceanic and aerial current wo uld ba the the co a sts of Western E urope leaving i cebergs on the coast with i nl and glaciation a s at present in G reen land This would include also the gl a ciation o f the northern part of G reat B rita in 3 6 1 To ac c o u nt fo r the glaciation of N o rthe rn A merica upon like principles to the above w e S hould require the mean temperatu re of the N orthern P a cific O cean to be s u ffi ciently high for its whirl deflecti on to keep the B ehring S ea open so that the N orthe rn P acific whirl co uld contin u e its direct motion in open water north of A l a ska , bringing the retu rn Arctic aerial curren ts into the valley of the Mackenzie River and thro u gh the G re at B ear and G reat S lave L akes into the valley of the Misso u ri laden with s u ffi cient moisture to prod u ce a contemporary glacial period in the northern p arts of the S outh western S tates and distrib u tion by c u rren ts thro u gh the lateral valleys 3 6 2 The considerations whic h ha ve made me somewhat modify this idea , w ithout change of the p r inciples s u ggested so far as they are active , were due to a more attentive study of A m erican geology The glaciation of A rctic North America appears to have been gre ater tha n these principles would entail This to my mind is seen most p a rticu larly acc ording to my theory in the evidence of the great outflow of b asalt in the region of the S nake River Id aho , within tertiary times To produce this great outflo w of lower heated rocks upon principles herein discussed , there m u st have been very great elevation of ice , most probably about the N orth P ole ’ , , , , , . , , , . . . , , , . - . . . . , , , . . N O TE S O N T HE NEB U LAR THE O RY 2 48 . I assume that a press u re system of ice at the poles wo ul d react throughout the entire lower visc ous ro cks ; b u t as these ro cks are assumed to be s u pported by flotation u pon th e denser metalli c n u cle u s the reaction by prot rusion to restor e gravitation equ ilibri u m at a dista nc e fro m either pole wo u ld be m u ch more fricti onal than that fro m a nearer pole T he mass of basalt protruded in Idaho possibly equ al s the entir e m ass of land above the oceanic sur fac e in G reat B ri tai n There w a s also contemporary el e vation of the great plateau of C entral A sia There may the refore have been an ice c ap in the north somewhat equ ivalent to that of the Anta rcti c The cold necessary to prod u ce such an i ce cap w e Circle can scarcely i m agine to have existed at the present me a n te mperat u re of the globe It is therefore more consistent to ass u m e that the e ffective radiation of the sun was diminished for a period prob ably as I have p r oposed by clouding in the condensation of nebu lar m atter at its critical te m peratu re p 7 4 This cannot however d estroy the evidence of gl a ciation being at any ti m e local in intensity and the m arine shells in th e gl a ci a l cl ays indicate an open ocean pole w ard T There i s said to be no evidence of glaciation in the great plains of S iberia and from m y own observation there has been non e in the west of Nor w ay for instance u p o n the granitic and gneiss rocks of the L ofoten Isles which ret ain the sha rp pointed outlines of ancient rocks that have been subj e ct to weathering only througho u t lo n g geological periods 1 Fo r gr e at elevation of circ u m pol a r l a nd or massive outflo w of b a salt at any period , the extre m e cold of the previo u s period may h a ve produced great rigidity in the ice system The re action of s u ch a sy stem would a n d contig u o u s rocks c a use the more distant parts of the earth s cr u st to give way “ , , - . - . , - . . . , , , , , , , , . , , . - . ’ G i ki G l g y p 2 57 G l gy S i J W D w p 6 5 f A di F b 2 3 18 8 7 p p G l S P I A th e ‘ ca u e, eo o an eo o ’ or s a er, ’ , . ’ , eo . r . . oc . a roc , . s o n, e . . , . . . . 2 50 N O T ES O N T HE NEB U LAR T HE O RY . and the lower shelvin g shores of the much red u ced tropical oceans w o u ld become habitable lands A t a still later period the tropical ocean beds would be drained by evaporation in clo u ds drifting over to the sho res which for the most part would never r eturn to them in the frozen river streams The earth would then possess three or fo u r o ceanic areas adapte d to life only— the lower beds o f the P acific A tlan tic , and Indian O ceans L ater when the s u n presented only a dull red disc appear in g to move daily across the s tarry vaul t, the lan d s repre s e n tin g the deep ocean beds would be froze n a nd life gradu a lly become extinct 3 6 5 The entire clo u d drainage of the great oc e a ns and the sno w c lad mo u ntaino u s lands surrounding them would release the press u re upon the deep ocean beds in proportion to the increase of the weight of snow upon the mo u ntains The earth would probably s till be s u fficiently y ielding in i ts interior to a dmit o f a certain amount of r eaction by dis tri b u tion o f s u rface press u res by which the ocean beds would be elevated to restore partial gravitation equilibri u m This e ffect wo u ld probably be produced by distri bution of small volcanoes over the for m er l ower oceanic surface and, as the s u rface wo u ld be shrinking slightly by loss of temperat u re , there wo uld occur also paroxysmal u pheavals in localities where , through the tension and plutonic press u re below the surface resistance wo u ld be overcome T h is wo uld leave earthqu ake fis su re s as a permanent surface feat u re 3 6 6 It is possible that in one of the warme r tr opica l valleys running east to west formed from one of the abo ve described fi ssures in the deepest bed of the P aci fi c, and n e ar to some residual thermal springs , the last individual of the late s t evolved form of humanity may die o f h unger and clos e for ever the records of science attained u pon our globe Whether extinction o f life will occ u r within t he s hort period of 1 5 milli ons o f y e a rs , as sugge ste d by th e th eo ry o f . - , - . , . , - . - . - - . - - , - . , . , - - . . , , . F UTU RE PER IO D 2 51 . H elmholtz for the sun to decreas e to the densit y of the earth can scarcely be s u ggested Whether we know the s u n s specific heat or the law of dispens ation of solar heat into space is do u btful b u t the probability is that world life will be longer than this , if w e can accept the conditions which I have reserved for disc u ssion in A ppendix A— as m y theory on this point may be tho u ght not to be a necessary part of o u r s ubj ect , ’ . - . [ 2 52 ] A P P E N D IX A . I M AY o ffer as a pure hypothesis that the energy of a light and heat giving system may not be so rapidly dissipated as w e kno w it to be by experiment unless it meet in radiation with another material body as a recipient In fact th a t for the rapid di ffusion of light and heat thro u gh cos m ic space there m u st be one or more motive couples just in the sa m e w ay as this is necess a ry for the action of gravitation energy , only that light a nd he at bear reference to surfa ce only, not to mass Upon this hypothesis light and heat , a s possibly gravitation , may be considered in cert ain cases as phenomena of i n du ction and in action in a certain degree as regar d s the s u n rese m ble the discha rge from one excited conductor to another thro u gh an ins u lated medium The intensity of propagation of forces from the sun s glob u lar mass being ass u med equ al to that of the discharge of electricity from a point into a — space of direct insulation that is insulation from general — f f di u sion so th at the ind u ction to another body if present falls in direct line only , with the loss only of a limited amo u nt by free radiation In this case the form of force is nevertheless that of light or heat not of electricity, from which it may vary in any motive degree A theory upon these lines to w hi ch I have devoted some years of study but c annot extend here except to state the principle wo u ld account for there being snow caps about the poles of Mars whereas fro m his distan ce being taken inversely as the square in comparison w ith that of the earth the amount of s un heat - . , , - . , , , . ’ , , . , . , , , , - , , - , N O T ES O N T HE NE B U LAR T HE O RY 25 4 . in another body or a similar e ffect upon th e retina of th e eye or a sensitive film in a camera That this luminous action is probably caused by rotating the surface molec u les so as to — cause them to present the surface which affini ty in the dark draws inwards— to an o u tward position A complete rev olu tion being necessary for white and a pa rt ial revolution for colour B ut this last stated idea is immaterial the self luminosity is material To mention one of my fi rst experiments I made in 1 8 7 3 a drawer 6 by 6 inches of one inch in depth very c arefu lly fitted in a velvet li n ed frame to excl u de light The inside of the drawer could be expose d to s u nshine while it was closed and drawn into a dark room when required I attached tw o spiral springs to the front o f the drawer and a catch to keep it closed when out in the sun shi ne so that when the catch was released the drawer ca m e instantly into the dark room I tried m any experiments ; the first was that of writing my name boldly in In dian ink upon a piece of white paper A fte r this had been a minute or less in the s u nshine , and was then drawn into the dark room I found th at I could read it easily fo r a short ti me in the dark therefore I concl u de it retained a p a r t of i ts lu minos ity or at least if it was lumino u s in the dark it must have been also luminous in the sunlight so that its pe r ception to the eye could not have been entirely from reflected sunlight as generally assumed It appears to me therefore , that we are bound to admit induced l u minosity as a factor of visibility These e ffects as phenomena ascribed to phosphorescence are well known and have been investigated most ably by B ecquerel b u t my i dea of them is that they are not as assumed simply phenomena of ph O Sph ores ce nce but of ind u ced luminosity and that they are u niversal for all l ight giving bodies , that is for all visible bodies or such as are not dioptric or for black bodies , if any exist, or so fa r as they exist In this hypothesis it is not necessary to suppose that a body may retain its induce d luminosity fo r an instant in the dark . . , . , . . , - , . . , . . , , , , , , . , . , , , , , , , - , , . . A P P E ND Ix A 2 55 . H eat conductors that is metallic bodies possess no such power of retention the surfa ce m olec u le being a ssumed in this ca se to be sensitive instantly to light a n d he a t infl u ences This does not affe ct the la w s th at govern the action of li ht s u ch as the reflective properties u nder the condition that a body may receive luminous induction in one direction and dispense it at coin cident equ a l a ngles or the refractive properties of dioptric bodies by which the indu cing rays are ben t only that in this l a st case the ind u ctive body is behind the dioptric whi ch acts only as a cond u ctor thereto in the sam e m a nner as a m et a l wire doe s to electricity b u t following its own laws The direction of the light force of induction is otherwise a lways in direct line My experiments — upon these hypotheses were m a de in 1 8 7 2 4 an d I have discus sed some of the m with my friends S o m e of these ideas ‘ appea r to ha ve o c c u rred to a c orrespondent of the E nglish Mechanic T W B last year 1 8 9 4 and so far as tha t p u bli cation goes I acknowledge t he priority if it is of any val u e In the m ultiplicity of tho u ghts by re a son of our simila rity of orga nism some of o u r ideas must be like those of other individ u als , , , . g , , , , , , . . , . ’ . , . . , , , . , , , . , [ ] 256 A P P E N D IX B . TH E generally accepted theory o f land formation is that which w a s proposed or maintained by the late Robert Mallet “ in a paper upon The am ount of E nergy developed by the ” S ecular C ooling of the E arth contained in two papers over 1 00 pages , in the P hil Trans 1 8 74—5 A ccording to these papers the amount of heat lost from the initial temperature of the earth will represent the force of its contraction The amo u nt of this energy is pres u med to be made evide nt in compression of the s u perficial strata causing the elevation inclination and crumpling of the strata and the entire volcanic phenomena The data upon which the arguments of these papers rest are assumed to be taken from calc u lations of E lie de B eaumont, Forbes and L ord Kelvin , who estimate the heat lost by the earth to be equ al to the melting o f a plate of ice , respectively of 0 00 6 5, 0 00 7 , and 0 0 0 8 5 milli metres ann u ally F rom these data it is stated that from 5 7 5 to 7 7 7 cubic miles of ice melted annually would represent the loss of heat B y going over the calculations in this paper , I was able to point out a considerable error in it s u fficient to upset the whole contraction theory upon the lines laid down A fter writing to S ir G eorge S tokes then b y Mr Mallet S ecretary to the R oyal S ociety , who clearly sa w the acci dental error I read a paper upon i t before the G eological S ociety in J u ne 1 8 8 4 showing that the contraction fro m the data given was only abo u t one cubic mile ann u ally , that is , - , . , . . . . , , . , . , , . . , . . , , , Q u art Jo urn G eol S oc v ol x1 ( Proc ) p 6 7 . . . . . . . . . [ 258 ] A P P E N D IX 0 . IF the general theory of this work is accepted at some future time a more experienced practical geolog ist than myself may shi ft the divisions in the rock series that I have adopted to make them more exactly agree with the periodic conditions proposed To do this perfectly would require refined ge olo i ca l observation , as the astronomical changes herein de fi ned g could not have been generally abr u pt so as to produce very distinct divisions in stratifying rocks Fu rther there must be superimposed upon the greater astronomical changes herein suggested , the minor influences of variation of eccentricity of orbit and change o f obliq u ity of axis which would produce variation of deposition although possibly not to the extent proposed by Croll and L yell S ome obj ection for instance may be made to my grouping the cretaceous with the tertiary in one long period wherein the chalk formati on is at least very distinct and locally no doubt if taken in vertical series the more ancient In this case we may consider the chalk to be a deep oceanic formation that is still in progress , a theory generally accepted since the Challenger E xpedition I think a system of contemporary strati fi cation of the various kinds of sedime n t distinguished by special chemical elements m u st have been general thro u ghout all time , as we have only one set of s u ch elements largely to deal with upon the surface of the globe , however much they may have been churned up or sorted o u t by local prevailing conditions Upon this suggestion w e could at no period have had one " , - . , . , , . , , , , , , . . . A P P E N D Ix C 2 59 . general system of deposition prevailing either of silica al u mina or calcic carbonate in other than local areas The , - . , general scheme of deposition in qu iescent times and u ndis t urb e d by oceani c c u rrents mav be shown diagrammatically by the figure above which may represent say 2 00 miles of deposition from a coast of the ancient rock surface of a a line from the certain period 0 the oceanic surface an cient rock to a point F the surface of the newly formed rocks where a band of fl ints occur in the chalk fro m organic deposition at a certain distance from the co a st Then of the prod u ce of the disintegrated rocks the coarser m aterials wo uld rest at B the broken m asses of silica or sand at S the lighter mu d or clay at C the perfectly soluble carbonate of lime and silica at C H where it would be generally a bsorbed by organic life This system would in all cases form s ets of rocks and go on continuously over are a s of s u rfa ce drainage carrying the disintegrated rocks if undistu rbed by oceanic c u rrents or tidal action and could in the past only be arrested by such great astronomical chan ges as herein p roposed These greater changes cannot occur again so that the present period may be geologically indefinitely extended for the time the ocean retains its liquidity , , - , - , - , . , , . - , . , .
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