Appendices 99 Appendix A : Physical Constants & Conversions Physical Constants: Coulomb constant: Plank’s constant: Mass of electron: Mass of proton: Elementary charge: Boltzmann constant: Stefan-Boltzmann constant: k = 9 x 109 Nm2/C2 h = 6.62 x 10-34 Jsec me = 9.11 x 10-31 kg mp = 1.67 x 10-27 kg qe =qp = 1.6 x 10-19 Coul k = 1.38 x 10-23 J/K (for ideal gas) = 5.67x10-8 J/sec-m2-K4 Gravitational constant: Speed of light: Speed of sound: Solar constant: Sun : G = 6.67 x 10-11 Nm2/kg2 c = 3 x 108 m/sec vsound = 345 m/sec 1.37 x 103 Watts/m2 M = 2 x 1030 kg R = 7 x 108 m L = 4 x 1026 watts M = 6 x 1024 kg R = 6.4 x 106 m Earth : Moon : Earth – Sun distance : Earth – Moon distance : (in a vacuum) (in air at 20° C) M = 7.36 x 1022 kg R = 1.74 x 106 m 1.5 x 1011 m 3.8 x 108 m Conversions: Energy : 1erg = 10-7 J 1 eV = 1.6 x 10-19 J Distance : 1 Å = 10-10 m 1 AU = 1.5 x 1011 m 1 parsec (pc) = 3 x 1016 m = 3.26 light-years (ly) = 2 x 105 AU 1 ly = 9 x 1015 m = 6 x 104 AU 100 Appendix B : Basic Relationships Wien’s Law T = [3 x 106]/max (T in °K and in nm) Stephan-Boltzmann Law : represents brightness of the source ) = T4 ( = 5.67 x 10-8 J/sec-m2-K4) Circular Orbits : mv2/R = kq2/R2 mv2/R = GmM/R2 (k = 9x109 Nm2/Coul2 G = 6.67 x 10-11Nm2/kg2 ) v = 2R/T a = v2/R = 42R/T2 Potential Energy : Ug = -GmM/r Uel = -kq2/r Total Energy : Et = K + U (K = 1/2 mv2) Angular Momentum : mvr Photon Energy: E = hf (h =6.62 x 10-34 Joul-sec) Ideal Gas : KEavg = (3/2)kT (k =1.38 x 10-23 J/K) Luminosity : Energy for allowed orbits in Hydrogen : Doppler Shift : Apparent Brightness : Stellar distance using magnitudes : Mass-Luminosity Relationship : 101 Escape Velocity : Kepler’s 3rd Law : Appendix C : Web Sites for Chapters 1 – 8 Chapter 1 Astronomy • visible light and telescopes http://csep10.phys.utk.edu/astr162/lect/light/limitations.html http://csep10.phys.utk.edu/astr162/lect/light/refracting.html http://csep10.phys.utk.edu/astr162/lect/light/reflecting.html • radio telescopes http://csep10.phys.utk.edu/astr162/lect/light/radio.html • x-ray telescopes http://xrtpub.harvard.edu/chronicle/index.html • cosmic particles http://www2.slac.stanford.edu/vvc/applications/morecosmic.html http://zebu.uoregon.edu/~js/glossary/cosmic_rays.html http://www.ngdc.nasa.gov/stp/SOLAR/COSMIC_RAYS/cosmic.html Mechanical Waves http://www.glenbrook.k12.il.us/gbssci/phys/Class/waves/wavestoc.html http://www.glenbrook.k12.il.us/gbssci/phys/class/light/u12l1b.html The Wave Model of Light http://www.glenbrook.k12.il.us/gbssci/phys/class/light/lighttoc.html http://www.glenbrook.k12.il.us/gbssci/phys/class/refln/reflntoc.html http://www.glenbrook.k12.il.us/gbssci/phys/class/refrn/refrntoc.html 102 http://theory.uwinnipeg.ca/physics/light/index.html The Electromagnetic Wave Model of Light • James Clerk Maxwell http://zebu.uoregon.edu/~js/glossary/maxwell.html • Heinrich Hertz http://www.phys.virginia.edu/classes/252/photoelectric_effect.html • representation of electromagnetic radiation http://zebu.uoregon.edu/~js/ast122/lectures/lec04.html • methods of production of electromagnetic waves http://newton.hanyang.ac.kr/~jhkim/jhdocu5.html • polarization & polarizers http://www.glenbrook.k12.il.us/gbssci/phys/Class/light/u12l1e.html Photoelectric Effect http://theory.uwinnipeg.ca/physics/quant/node3.html Radiation Laws* http://csep10.phys.utk.edu/astr162/lect/light/radiation.html http://theory.uwinnipeg.ca/physics/quant/node2.html http://zebu.uoregon.edu/~js/glossary/planck_curve.html http://zebu.uoregon.edu/~js/glossary/laws_of_radiation.html * There is a good interactive simulation of the Radiation Laws at the end of the chapter on Radiation Laws at the astr162 web site. 103 Chapter 2 J.J. Thomson http://www.phys.virginia.edu/classes/252/more_atoms.html E. Rutherford http://www.phys.virginia.edu/classes/252/Rutherford_Scattering/Rutherford_Scatteri ng.html http://www.pbs.org/wgbh/aso/databank/entries/bpbohr.html Bohr Model http://zebu.uoregon.edu/~js/glossary/bohr_atom.html http://csep10.phys.utk.edu/astr162/lect/light/bohr.html http://www.colorado.edu/physics/2000/quantumzone/index.html Emission & Absorption Spectra http://csep10.phys.utk.edu/astr162/lect/light/absorption.html http://zebu.uoregon.edu/~js/ast122/lectures/lec05.html http://www.colorado.edu/physics/2000/quantumzone/index.html model of emission & absorption http://webphysics.ph.msstate.edu/javamirror/ipmj/java/atomphoton/index.html Solar Spectrum http://csep10.phys.utk.edu/astr162/lect/sun/spectrum.html Chapter 3 Ideal Gas & Kinetic Molecular Theory http://www.bcpl.net/~kdrews/kmt/kmt.html#Kinetic 104 http://wine1.sb.fsu.edu/chm1045/notes/Gases/Kinetic/Gases08.htm 105 Chapter 4 Doppler Effect model http://www.phy.ntnu.edu.tw/java/Doppler/Doppler.html http://webphysics.davidson.edu/Applets/Doppler/Doppler.html notes http://www.glenbrook.k12.il.us/gbssci/phys/class/sound/u11l3b.html http://csep10.phys.utk.edu/astr162/lect/light/doppler.html Chapter 5 Parallax http://www.astronomynotes.com/starprop/starpropa.htm Stellar Luminosity http://www.astronomynotes.com/starprop/strapropb.htm Stellar Magnitudes http://csep10.phys.utk.edu/astr162/lect/stars/magnitudes.html http://zebu.uoregon.edu/~js/ast122/lectures/lec09.html Stellar Spectra / Harvard Classification Scheme Sun’s spectrum http://csep10.phys.utk.edu/astr162/lect/sun/spectrum.html Stellar spectra & Harvard Classification http://lheawww.gsfc.nasa.gov/users/allen/spectral_classification.html http://csep10.phys.utk.edu/astr162/lect/stars/spectra.html http://csep10.phys.utk.edu/astr162/lect/stars/harvard.html http://instruct1.cit.cornell.edu/courses/astro101/lec13.htm http://instruct1.cit.cornell.edu/courses/astro101/lec14.htm http://zebu.uoregon.edu/~js/ast122/lectures/lec10.html 106 The Harvard Women Astronomers http://physics.carleton.edu/Astro/pages/marga_michele/Cecilia_Payne.html http://physics.carleton.edu/Astro/pages/marga_michele/harvard.html Chemical Composition http://csep10.phys.utk.edu/astr162/lect/sun/composition.html Stellar Mass Kepler’s Laws & applet http://csep10.phys.utk.edu/astr161/lect/history/kepler.html Newton’s Modification of Kepler’s 3rd Law & Center of Mass http://csep10.phys.utk.edu/astr161/lect/history/newtongrav.html http://csep10.phys.utk.edu/astr162/lect/binaries/mass.html http://zebu.uoregon.edu/~js/ast122/lectures/lec11.html Chapter 6 H-R Diagram of 22,000 Stars http://www.anzwers.org/free/universe/hr.html Mass-Luminosity Relationship http://csep10.phys.utk.edu/astr162/lect/binaries/masslum.html Chapter 7 Nuclear Forces http://csep10.phys.utk.edu/astr162/lect/energy/reactions.html http://www.scri.fsu.edu/~jac/Nuclear/whatis/forces.html Fusion Cycles http://csep10.phys.utk.edu/astr162/lect/energy/ppchain.html http://csep10.phys.utk.edu/astr162/lect/energy/cno.html http://csep10.phys.utk.edu/astr162/lect/energy/cno-pp.html 107 Solar Neutrino Problem http://csep10.phys.utk.edu/astr162/lect/energy/snu.html http://www.sno.phy.queensu.ca/public/neutrino.html Hydrostatic Equilibrium http://zebu.uoregon.edu/~js/ast122/lectures/lec13.html Chapter 8 All of the stellar evolution topics are covered by excellent overviews at (1) the Bakersfield College Web Site : http://www.astronomynotes.com/toc.htm Click on the “Lives and Deaths of Stars” section. (2) the University of Oregon Web Site. http://zebu.uoregon.edu/~js/ast122 Click on lectures 14, 15, 16, 17, 18, 20, 21, 23. Open & Globular Clusters http://zebu.uoregon.edu/~js/ast122/lectures/lec.16.html http://csep10.phys.utk.edu/guidry/violence/starclusters.html Cepheid Variables http://zebu.uoregon.edu/~soper/MilkyWay/cepheid.html http://imagine.gsfc.nasa.gov/docs/science/mysteries_l1/cepheid.html White Dwarfs & Novae http://csep10.phys.utk.edu/astr162/lect/novae/novae.html http://csep10.phys.utk.edu/astr162/lect/supernovae/type1.html http://imagine.gsfc.nasa.gov/docs/introduction/supernovae.html Neutron Stars & X-Ray Bursters http://csep10.phys.utk.edu/astr162/lect/neutron/neutron.html http://csep10.phys.utk.edu/guidry/violence/death.html Pulsars http://csep10.phys.utk.edu/astr162/lect/pulsars/pulsars.html Type Ia Supernova 108 http://csep10.phys.utk.edu/astr162/lect/supernovae/type1.html http://www.pbs.org/wgbh/nova/universe/supernova.html http://zebu.uoregon.edu/~imamura/208/mar1/nucleo.html Type II Supernova & Supernova Remnants http://csep10.phys.utk.edu/guidry/violence/death.html http://www.pbs.org/wgbh/nova/universe/supernova.html 109 Appendix D : Research Support & Contacting Us Use the ASI Webboard to post questions to Terry: http://xray.rutgers.edu/asi/asiwebboard/ Terry ‘s e-mail: matilsky@physics.rutgers.edu Eugenia’s e-mail: etkina@rci.rutgers.edu Use Terry’s Web site in order to examine documents concerning EXOSAT, etc.: http://xray.rutgers.edu/~matilsky/documents Computer Help : Our computer expert is John Doroshenko, who can be reached at: doroshenko@physics.rutgers.edu. Literature : Do a Google Search by simply entering the name of the object. Images : Download any available images (GIFs) corresponding to your source. Try using http://heasarc.gsfc.nasa.gov/Images/pretty_pictures.html Background Information : You can get "sophisticated" background in our texts, P. Charles & F. Seward’s Exploring the X-Ray Universe, and D. Morrison, S. Wolf, and A. Frakoi’s Abell’s Exploration of the Universe, 7th edition . .There are also some excellent web sites with background information: http://csep10.phys.utk.edu/astr161/lect/index.html http://csep10.phys.utk.edu/astr162/lect/index.html http://csep10.phys.utk.edu/guidry/violence/violence-root.html http://zebu.uoregon.edu/~js/ast121/index.html http://zebu.uoregon.edu/~js/ast122/index.html http://zebu.uoregon.edu/~js/ast123/index.html http://www. astronomynotes.com http://imagine.gsfc.nasa.gov/docs/science/science.html http://astrosun.tn.cornell.edu/courses/astro201/topics.html http://instruct1.cit.cornell.edu/courses/astro101/astro101.htm 110 http://chandra.harvard.edu 111