Sp.-V/AQuan/1999/10/11:12:03 Page 569 Chapter 23 Milky Way and Galaxies Virginia Trimble 23.1 23.1.1 23.1 Milky Way Galaxy . . . . . . . . . . . . . . . . . . . . 569 23.2 Normal Galaxies . . . . . . . . . . . . . . . . . . . . . . 576 MILKY WAY GALAXY Overall Properties Details of the location of the Sun in the Galaxy are given in Table 23.1. Table 23.1. Milky Way parameters. Solar galactocentric distance (kpc) LSR rotation speed (km/s) Oort constant A (km/s kpc) Oort constant B (km/s kpc) A + B = 0.0 for a flat rotation curve IAU 1964 Standard [1] IAU 1985 Standard [2] Other values [3–5] 10 250 +15 −10 8.5 ± 1.1 220 +14.4 ± 1.2 −12.0 ± 2.8 7.0 ± 0.8 190 +13.0 −13.0 References 1. Allen, C.W. Astrophysical Quantities, 3rd ed. (Athlone Press, London), p. 283 2. Kerr, F.J., & Lynden-Bell, D. 1986, MNRAS, 221, 1023 3. Gilmore, G., & Carswell, B., editors, 1987, The Galaxy (Reidel, Dordrecht) 4. Allen, C., & Santillan, A. 1991, Rev. Mexicana Astron. Af., 22, 255 5. Merrifield, M. 1992, AJ, 103, 1442 At the solar circle, the rotation period is 2.4 × 108 yr; the epicyclic period is 1.7 × 108 yr; the vertical period is 6.2 × 107 yr [1]. 569 Sp.-V/AQuan/1999/10/11:12:03 Page 570 570 / 23 M ILKY WAY AND G ALAXIES The total luminosity in the B color band, the integrated color, and the total bolometric luminosity are [1–4]: L B = (2.3 ± 0.6) × 1010 L , B − V = 0.68 − 0.80, 10 L bol = 3.6 × 10 L of which 1/3 is in infrared radiation. The extent of luminous disk, r , is 20–25 kpc [5]. The total mass and M/L B are [6]: M = 9.5 × 1010 M , M = 4 × 1011 M , M = 13 × 1011 M , M/L B = 4.2 to R0 = 8.5 kpc, M/L B = 18 to R = 35 kpc, M/L B = 56 to R = 230 kpc. The escape velocity [6, 7] at R is 450–650 km/s, at the edge of the Galaxy is 311 km/s, and at the galactic center is 650–700 km/s. 23.1.2 Galactic Populations Contents of the components of the Galaxy are given in Table 23.2. 23.1.3 Galactic Backgrounds Energy densities near the Sun in magnetic fields, galactic cosmic rays, gas cloud turbulence, starlight, and microwave background are each 0.5–2 eV/cm3 . Cosmic Rays [8]: The flux of particles with energies greater than E (eV) is 1020 E −1.74 particles/m2 s sr for E = 10–107 GeV/nucleon. The grammage traversed is 3–6 g/cm2 (from secondary to primary ratios). The confinement time is 3 × 107 yr (from radioactive nuclides). In soft X-rays (0.25 kev), the local background is 40–70 keV/cm2 s sr keV [9]. The ultraviolet (1400–1800 Å) flux [10] is 300–400 photons/(cm2 s sr Å) at high latitudes and 1200 ± 200 photons/(cm2 s sr Å) at low latitudes. The visible light intensity, in units of 1.1 × 10−9 erg/cm2 s sr Å [11], for sky-averaged starlight in the galactic plane is 200; toward the poles is 50, and in diffuse optical emission is 20. The light absorption in the V band A V = 0.11 ± 0.02 toward poles [4]. The infrared surface brightness of the Galaxy [4] is 10−4.35 W/m2 sr at 100 µm, 10−5.35 W/m2 sr at 25 µm, and 10−5.1 W/m2 sr at 12 µm. In the ultraviolet to infrared range, 1000 Å–100 µm, the interstellar radiation field averaged over all directions, d I /d ln ν, is 10−6 –10−7 W/m2 sr and is smaller toward poles by a factor of 10. Total galactic luminosities [4, 12]: L(> 100 MeV) = (1–2) × 1039 erg/s, L(2–10 keV) = 40 10 erg/s, and L(4–100 µm) = 1.2 × 1010 L = 4.8 × 1043 erg/s. The B band central surface brightness is 22.1 mag. mag./arcsec2 [13]. 2.9 4–5 Bulge [1, 2] Spheroid [2–6] Disk [2, 4–6] Thick disk [7–10] 2–3 325 pc 1? 20–25 ≥ 100 1.3 kpc 0.6–1 ≥ 40 20–25 20–25? 0.4 Vertical scale height or c/a a 1 Radial extent (kpc) 0.009 0.124 0.15 0.026 0.000 26 — Density near Sun (M pc−3 ) 4.5 1.7 × 1010 (3–6) × 1010 ≥ 650 4.6 10? 1.9 × 1010 2 × 108 (3–6) × 1010 (2–4) × 109 (6–10) × 1011 1–5 (1–2) × 109 5 2 × 109 1010 (2–10) × 109 M/L within 2R L tot B (units of L ) Mtot (units of M ) −0.1 ± 0.2 −0.3 ± 0.3 −0.6 ± 0.3 −1.5+0.5 −3.0 +0.3 ± 0.2 Metallicity [Fe/H] References 1. Frogel, J.A. 1988, ARA&A, 26, 51 2. Bahcall, J.N. 1986, ARA&A, 24, 577 and references therein, also private communication 3. Freeman, K.C. 1987, ARA&A, 25, 603 4. van der Kruit, P. 1987, in IAU Symposium 139, The Galaxy, edited by G. Gilmore and B. Carswell (Reidel, Dordrecht) 5. Merrifield, M. 1992, AJ, 103, 1442 6. Gilmore, G., & Kuiken, K. 1989, MNRAS, 239, 571 7. Gilmore, G., & Reid, N. 1983, MNRAS, 202, 1025 8. Gilmore, G., & Wyse, R. 1987, in IAU Symposium 139, The Galaxy, edited by G. Gilmore and B. Carswell (Reidel, Dordrecht) 9. van der Kruit, P. 1984, A&A, 140, 470 10. Gilmore, G., Wyse, R., & Kuikjen, K. 1989, ARA&A, 27, 555 Note a The ratio of the smallest to the largest axis. Dark halo [2, 4, 5, 6] 3.5–5 0.2 Component Thin disk [2, 4, 8, 10] Radial scale length (kpc) Table 23.2. Galactic population components. 0? 220 180 0–50 Vrotation at R (km/s) Metal-rich globular clusters, old stars; hot gas Population I stars, atomic, molecular gas Unknown Old stars (not population II); molecular gas Metal-poor globular clusters; old stars (population II) Contents Sp.-V/AQuan/1999/10/11:12:03 Page 571 23.1 M ILKY WAY G ALAXY / 571 Sp.-V/AQuan/1999/10/11:12:03 Page 572 572 / 23 23.1.4 M ILKY WAY AND G ALAXIES Galactic Center [14] The inner parsec contains M ≈ 3 × 106 M in some combination of dense star cluster and a supermassive black hole, with compact sources of radio, X-ray, and infrared radiation. Other compact sources, including gamma-ray sources are nearby. The central magnetic field B ≈ 1 mG, largely perpendicular to the disk. 23.1.5 Spiral Arms [15, 16] The Milky Way is not a grand design spiral, with two discrete arms extending 360◦ or more. The magnetic field follows the arms with an ordered component of 2–6 µG and a comparable chaotic component. The arms that cut the radius vector through the Sun are Scutum, at 5 kpc from the galactic center; Sagittarius, at 7.5 kpc; Orion, Carina-Cygnus, at 8.8 kpc (the local arm); and Perseus, at 12.3 kpc. 23.1.6 Age [17, 18] The age of the oldest spheroid (globular cluster) stars and onset of nucleosynthesis can be placed at 13–17 Gyr BP (before present). The oldest disk stars formed 6–13.5 Gyr ago. 23.1.7 Star Formation Rate [19] The local rate is (3.5–5)M /pc3 Gyr. The global rate is (0.8–13)M /yr (most likely value 3M /yr). 23.1.8 Gas Content [4, 19–21] HI: n(HI) = 2.9 × 1020 csc b atoms cm−2 = 3.25M pc−2 , or 0.44 atoms cm−3 with a scale height of 130 ± 20 pc (at the solar circle). H2 : H2 = 2M pc−2 or 0.013M pc−3 with a scale height of 65 ± 25 pc; the maximum n(H2 ) = 3 × 1022 cm−2 at the galactic center and in the 4–6 kpc ring. The total amount of gas is (5.7–7.5)M pc−2 = (2–6) × 109 M ; M(H2 )/M(HI) ≈ 1. 23.1.9 Galactic Rotation Curve The basic shape (rapid central rise, extended flat part) has been decomposed into central bulge plus spheroid, disk, and dark halo (corona) in two rather different ways. Table 23.3 shows a version where the disk is the largest contributor between 3 and 11 kpc [22–24]. Figure 23.1 shows a version where the disk is less massive and never dominates [25, 26]. Table 23.3. Galactic rotation (km/sec). R (kpc) V (bulge + spheroid) V (disk) V (halo) 0.25 0.50 0.75 1.0 235.1 247.3 245.3 232.5 22.0 38.5 52.5 64.8 11.4 22.5 32.9 42.5 Sp.-V/AQuan/1999/10/11:12:03 Page 573 23.1 M ILKY WAY G ALAXY / 573 Table 23.3. (Continued.) R (kpc) V (bulge + spheroid) V (disk) V (halo) 2.0 3.0 4.0 5.0 6.0 7.0 7.7 8.0 8.3 9.0 10.0 12.0 14.0 16.0 18.0 20.0 25.0 30.0 40.0 60.0 165.6 134.8 117.2 105.3 96.6 89.8 85.8 84.3 82.8 79.7 75.7 69.4 64.4 60.4 57.1 54.2 48.6 44.5 38.6 31.5 101.4 125.1 140.5 149.9 155.2 157.5 157.7 157.5 157.2 156.0 153.5 146.4 138.2 129.9 122.1 115.0 100.6 90.2 76.5 61.7 73.3 94.3 109.0 119.9 128.3 135.0 139.0 140.5 142.0 145.2 149.2 155.8 161.0 165.3 169.0 172.1 178.5 183.5 191.1 201.2 Figure 23.1. A second version of the Galaxy rotation in which the disk is nowhere the dominant component [25, 26]. Sp.-V/AQuan/1999/10/11:12:03 Page 574 574 / 23 23.1.10 M ILKY WAY AND G ALAXIES Acceleration Perpendicular to the Galactic Disk The high- and low-mass disks of Sec. 23.1.9 correspond to different force laws perpendicular to the disk at the solar position as presented in Figure 23.2. The data are in Table 23.4. Table 23.4. Force per unit mass versus height z above galaxy plane. z (pc) K z (10−9 cm/s2 ) K z [(km/s)2 /pc] 0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 2000 2500 3000 0.00 2.46 4.17 5.19 5.81 6.21 6.50 6.72 6.90 7.05 7.19 7.31 7.42 7.52 7.62 7.71 8.11 8.42 8.66 0.00 0.76 1.29 1.60 1.79 1.92 2.01 2.07 2.13 2.18 2.22 2.26 2.29 2.32 2.35 2.38 2.50 2.60 2.67 Figure 23.2. Force laws in direction perpendicular to the Galaxy disk versus height above Galaxy disk. Sp.-V/AQuan/1999/10/11:12:03 Page 575 23.1 M ILKY WAY G ALAXY / 575 The corresponding mass densities are (0.10–0.29)M pc−3 in the solar neighborhood and (48–89)M pc−2 perpendicular to the plane. The mass density and potential anywhere in the Galaxy can be calculated by summing the components that enter into these models [7, 27]. 23.1.11 Galactic Coordinates 1. The old system [28] was defined by a North Galactic Pole (NGP) (bI = 90◦ ) at RA = 12h 40m = 190.◦ 0, declination = +28.◦ 0 (1900). The ascending node on the equator, at RA = 280.◦ 00 + 1.◦ 23T (T is the time in centuries after 1900.0), defines l I = 0◦ . 2. The new system [28–30] has been defined for Besselian year 1950 and Julian year 2000 by the coordinates, l II bII , of the NGP: RA = 12h 49.m 0 = 192◦ 15 , RA = 12h 51m 26s 2755 = α3 , = 192.◦ 859 481 23, declination = +27◦ 24. 0 (B1950), declination = +27◦ 7 41. 704 = δ3 = +27.◦ 128 251 20 (J2000). The corresponding values of l I , bI = 327.◦ 41, −1◦ 24 . The position of the galactic center defines l II = 0◦ : RA = 17h 42.m 4 = 265◦ 36 , RA = 17h 45m 37.s 1991 = α1 , = 266.◦ 404 996 25, declination = −28◦ 55 (B1950), declination = −28◦ 56 10. 221 = δ1 = −28.◦ 936 172 42. (J2000). The galactic longitude of the North Celestial Pole is θ = 123.◦ 00 (1950), θ = 122.◦ 931 918 6 = l3 (J2000). The ascending node of the galactic plane on the J2000 equator has the position RA = α3 + 6h = 282.◦ 86, l II = 3 − 90◦ = 32.◦ 93. The mutual angle of inclination of the two planes is 90◦ − δ3 = 62.◦ 87. The conversion between equatorial and new galactic coordinates for (J2000) is given approximately by [31] sin bII = sin δ cos 62.◦ 87 − cos δ sin(α − 282.◦ 86) sin 62.◦ 87, cos bII cos(l II − 32.◦ 93) = cos δ cos(α − 282.◦ 86), but see [29] for a more precise formulation. Sp.-V/AQuan/1999/10/11:12:03 Page 576 576 / 23 23.2 M ILKY WAY AND G ALAXIES NORMAL GALAXIES 23.2.1 E S0 S Irr dSph Classification Elliptical (spheroidal component dominates), from E0 (round) to E7 (most flattened). b/a = 1 − n/10; e.g., b/a = 0.3 is E7. gE and dE denote giants and dwarfs, respectively. Lenticular (spheroid and disk, but no recent star formation). Spiral (spheroid and disk with arms of young stars) from S0a (least dominant arms) through Sa, Sb, Sc, Sd (most dominant arms) to Sm (Magellanic faint spirals). SA = unbarred; SB = barred. Irregular (little or no spheroid; young stars are not in coherent arms). The Magellanic type (intrinsically irregular) called IrrI, Im, or IBm (barred). Merger products, disturbed, and active galaxies are labeled Irr II or I0. dIrr denotes dwarf irregulars. Dwarf spheroidals (masses and luminosities much less than ellipticals, but much less centrally condensed than globular clusters; many are companions). Probably the commonest kind of galaxy in a volume-limited sample. Special types: cD BCD Supergiant diffuse galaxies at cluster centers, Blue compact dwarf galaxies, dIrr with very active star formation. For additional criteria and refinements, see [32, 33]. Table 23.5 gives more details. Table 23.6 lists the local group members. Table 23.7 gives the local bright galaxies. 23.2.2 Galaxy Counts Integral Counts The number of galaxies per square degree brighter than m B (for apparent magnitude m B = 12–15) in the South Galactic Polar Cap [34]: log N (m) = 0.62m − 9.7. The number in the North Galactic Polar Cap is larger by log N (m) = 0.4 at m B = 12.0, tapering to log N (m) = 0.0 at m B = 14. Here logarithms to the base 10 are used, as elsewhere in this chapter. Differential Counts The number per square degree of galaxies with magnitude in the J color band of m = b J ± 0.25 in the South Galactic Polar Cap [b J = B − 0.28(B − V )] [35] is given in Table 23.8. 15.5 14.0–18.0 ≤ 14.0–18.0 15.0–20.0 17.5 15.5 16.5–21.0 19.5 20.0 16.5–21.5 ?–18.0 7.6–15.5 16.5–21.5 ≤ 14.0 20.0 22.5–25.0 15.5–22.0 23.0 20.0 [3, 4] 0.46 0.37 0.37 0.69 0.54 0.47 0.78 0.87 0.93 0.91 [5] B − Vc 1–5 8.9; 0.6–8.9 13.6; 1.8–32.8 22.4; 5.3–50.9 21.5; 2.8–47.5 16.2; 4.2–52.3 16.5; 4.7–48.5 30–1000 20.5; 30–60 1–5 0.5–3 17.5; 5.5–71.7 1037 –1039 1038 –1041 1039 –1042 1043 Lx [6] 0.1–10.0 0.1–0.2 0.03–3.0 < 0.01–0.1 0.01–0.1 [7] L FIR /L B d HI; 0.2 HI+H2 ; 0.1–0.5 HI+H2 ; 0.25 HI+H2 ; 0.08 HI+H2 ; 0.15 HI+H2 ; 0.25 0.5 ± 0.2 0.5 ± 0.2 1.2 ± 0.2 2–6 X-ray; (109 –1010 ) HI+H2 ; (107 –109.5 ) HI+H2 ; 0.04 2–6 4.8 ± 1 15 ± 3 Specific freq. globular clusters f [9] X-ray; (108 –1011 ) X-ray; (1011 –1012 ) Gas contente phase; amount (M ), or fraction [8] 10–80 2–5 3.1; 0.7–7.0 5.8; 1.4–17.3 4.2; 1.3–13.9 4.7; 1.0–10.3 6.5; 1–23 10–80 4.0; 1–7 5–15 5–15 5–15 M/L (solar units) Mean; range [4] 1010 –1012 1011.5 –1013 1012 –1013 Mtot (M) [6, 10] 10–20 10–90 180 M/L Total [6, 10] References 1. Faber, S.M., editor, 1987, Nearly Normal Galaxies (Springer-Verlag, New York) 2. Kron, R.G., editor, 1989, Evolution of the Universe of Galaxies, Astronomical Society of the Pacific Conference Series 3. Bingelli, B., Sandage, A., & Tammann, G.A. 1988, ARA&A, 26, 509 4. Tully, R.B. 1987, Nearby Galaxies Catalog (Cambridge University Press, Cambridge); generally to 25m /sq. 5. de Vaucouleurs, G., & Mitra, S. 1991, unpublished 6. Fabbiano, G. 1987, ARA&A, 27, 87 7. Soifer, B.T., Houck, J.R., & Neubebauer, G. 1989, ARA&A, 25, 187 Notes a All quantities are given on the “short” distance scale. None of them is so precisely known that it matters whether this means H = 85 or H = 100 (km/s)/Mpc. For the “long” scale, distances and masses go up by a factor of 2, luminosities by a factor of 4, and M/L by a factor of 2. b Limits containing galaxies down to 0.1 of the peak space density. c Mean for type, corrected for inclination and internal reddening. d Starburst S galaxies extend up to 2 × 1012 L . e Most giant galaxies have (109 –1010 )M of gas, but it is a cool (HI + H ) disk component in spirals, a hot (keV, X-ray emitting) component in cD and elliptical 2 galaxies, and a mixture of these in S0 galaxies. Young and Scoville give ratios of the mass of disk gas to the total disk mass of the galaxies. f Units are the number of globular clusters per unit of luminosity corresponding to visual absolute magnitude M = −15. V g Luminosity and size of cD galaxies includes the extended halo, much of which lies below the 25m /sq. contour. h Properties on intermediate lines are averages for Sa + Sb, etc. dIrr BCD [13] Sm Irr Im Sb Sc Sd S Sah E gE dE dSph [12] S0 cDg [11] Type −M B [3, 4] −M B , rangeb Diameter (kpc) Mean; range [4] Table 23.5. Representative properties of galaxies by type [1, 2].a Sp.-V/AQuan/1999/10/11:12:03 Page 577 23.2 N ORMAL G ALAXIES / 577 8. 9. 10. 11. 12. 13. Milky Way M31 = NGC224 M32 = NGC221 NGC205 = M110 SMC NGC185 NGC147 And. I Sculptor And. III IC1613 = DDO8 Psc = LGS3 NGC598 = M33 And. II Phoenix WLM = DDO221 Fornax LMC Carina Leo I Sextans Leo II Ursa Minor Draco NGC6822 DDO210 Tucana Galaxy [1] −149 −46 70.8 1.6 4.9 11.5 63.1 645.7 23.4 9.8 90. 12.0 30.2 35.5 15.5 2.2 5.5 +21◦ 51 +30◦ 34 +33◦ 26 −44◦ 26 −15◦ 27 −34◦ 27 −69◦ 45 −50◦ 58 +12◦ 18 −01◦ 36 +22◦ 09 +67◦ 12 +57◦ 55 −14◦ 48 −12◦ 50 −64◦ 25 01h 33.m 9 01h 16.m 5 01h 51.m 1 00h 02.m 0 02h 39.m 9 05h 23.m 7 06h 41.m 6 10h 08.m 5 10h 13.m 0 11h 13.m 5 15h 08.m 8 17h 20.m 1 19h 45.m 0 20h 46.m 8 22h 49.m 1 0.7 0.85 0.66 0.8 0.6 0.9 0.6 0.7 0.9 0.5 0.55 0.7 0.8 0.35 0.6 0.63 0.59 11.18 12.6 11.9 10.8 9.31 14.0 (14.0R) 0.01 0.43 0.31 0.47 0.67 0.82 0.36 0.73 0.78 0.75 9.04 0.91 11.03 13.5 6.27 8.92 2.70 10.10 10.47 13.5 10.50 13.5 9.88 +36 −47 −87 +44 −23 −41 +119 +13 +60 −61 −152 +115 −60 +34 −64 +28 −28 01h 03.m 8 0.5 0.6 0.85 0.6 1.0 0.8 0.4 0.9 0.88 21.9 316.2 11.7 13.2 1.4 39.8 0.75 16.2 9.03 +41◦ 41 −72◦ 49 +48◦ 20 +48◦ 30 +38◦ 02 −33◦ 42 +36◦ 31 +02◦ 08 0.74 00h 40.m 0 00h 52.m 7 00h 38.m 9 00h 33.m 2 00h 45.m 5 01h 00.m 2 00h 35.m 3 01h 04.m 8 −121 Vrg f [2] 8.7 0.68 (B − V )0 e [2] +40◦ 52 4.36 BT d [2] 00h 42.m 7 0.32 b/a c [2] 190.5 Diam.b [2] +41◦ 16 Decl. [2] 00h 42.m 7 RA (2000.0) dSph SBm–Ir III-IV dSph dSph dSph dSph–E0p dSph dSph IBm IV-V IBm V dSph–dE5 dSph dIm/dSph IBm IV-V Sc,cd II-III dIrr Sph–E5p Im IV-V dSph–dE3p dSph–dE5 dSph–E3p dSph dSph IBm/Irr V E2 Sbc I-II Sb I-II Type [1–3] 131 55 107 229 87 234 69 76 495 725 890 725 417 940 795 725 725 58 620 645 725 78 725 715 725 725 Dist. (kpc) [1] −13.7 −18.1 −7.6 −11.7 −10.0 −9.4 −8.9 −8.6 −16.4 −11.5 −9.5 −11.8 −9.9 −14.1 −18.9 −16.3 −16.2 −15.3 −15.1 −11.8 −10.7 −10.3 −14.9 100: 101 50: 220 254 −20.6 −21.1 −16.4 Vrotation (km/s) [4] MV [1] 1 × 1037 < 3 × 1035 6.6 × 1038 1.1 × 1039 < 9 × 1036 6.1 × 1037 5.4 × 1037 3.0 × 1039 3.6 × 1039 Lx g (erg/s) [5] −1.40 −0.40 −1.52 −1.30 −1.5? −1.90 −2.20 −2.10 −0.6 −2.0 −0.90 −1.20 −1.40 −1.80 −0.85 −0.75 [Fe/H] [6] 578 / 23 Table 23.6. The Local Group.a Young, J.S., & Scoville, N.S. 1991 ARA&A, 29, 281; ratios of the mass of disk gas to the total disk mass of the galaxies Harris, W.E. 1991, ARA&A, 29, 543 Trimble, V. 1987, ARA&A, 25, 425 Kormendy, J., & Djorgovski, S. 1989, ARA&A, 27, 235 and references therein van den Bergh, S. 1992, MNRAS, 255, 29pp Thuan, T.X., in Ref. [1] Sp.-V/AQuan/1999/10/11:12:03 Page 578 M ILKY WAY AND G ALAXIES NGC 55 NGC 247 NGC 253 NGC 300 NGC 628 = M74 NGC 1068 = M77 NGC 1291 NGC 1313 NGC 1316 (Fornax A) NGC 2403 NGC 2903 NGC 3031 = M81 NGC 3034 = M82 NGC 3115 NGC 3521 NGC 3627 = M66 NGC 4258 = M106 NGC 4449 NGC 4472 = M49 Galaxy [1] 32.4 21.4 27.5 21.9 10.5 7.1 9.8 9.1 12.0 21.9 12.6 26.9 11.2 7.2 11.0 9.1 14.8 6.2 10.2 +65◦ 36 +21◦ 30 +69◦ 04 +69◦ 41 −07◦ 43 −00◦ 02 +13◦ 00 +47◦ 18 +46◦ 06 +08◦ 00 07h 37m 09h 32m 09h 56m 09h 56m 10h 05m 11h 06m 11h 20m 12h 19m 12h 28m 12h 30m Diam.a [2] −39◦ 13 −20◦ 46 −25◦ 17 −37◦ 41 +15◦ 47 −00◦ 01 −41◦ 06 −66◦ 30 −37◦ 12 Decl. (2000.0) [2] 00h 15m 00h 47m 00h 48m 00h 54m 01h 37m 02h 43m 03h 17m 03h 18m 03h 23m [2] RA 0.56 0.48 0.52 0.38 0.84 0.47 0.46 0.39 0.71 0.81 0.17 0.32 0.25 0.71 0.91 0.85 0.83 0.76 0.71 b/a b [2] 8.93 9.68 7.89 9.30 9.87 9.83 9.65 9.10 9.99 9.37 8.42 9.67 8.04 8.72 9.95 9.61 9.39 9.20 9.42 BT c [2] 0.39 0.55 0.82 0.79 0.94 0.68 0.60 0.55 0.41 0.95 0.58 0.51 0.70 0.91 0.48 0.87 0.54 0.54 (B − V )d0 [2] Scd III SABbc I-II SAab I-II I0/amorphous S0 SABbc II SABb II SABbc II-III IB/Sm IV E1-2/S0 SBc/m III SABc/d III-IV SABc II Sc/d II-IV SAc II SAb II SB0/a SBc/d III-IV SAB0/a pec Type [1, 2] +226 +476 +69 +323 +492 +673 +643 +510 +255 +846 +94 +176 +251 +98 +753 +1144 +712 +292 +1674 Vrg e [2] Table 23.7. Bright Galaxies, BT < 10 (excluding Local Group galaxies). 4.2 6.3 1.4 5.2 6.7 7.2 6.6 6.8 3.0 16.8 1.3 2.1 3.0 1.2 9.7 14.4 8.6 3.7 16.9 Dist. f (Mpc) [3] −19.68 −19.85 −18.29 −19.42 −19.18 −19.88 −19.66 −20.59 −17.66 −21.82 −18.13 −17.98 −20.02 −16.88 −20.32 −21.39 −20.26 −18.60 −21.47 0i g M BT [3] 10.67 10.91 10.73 10.99 10.74 11.17 295 188 213 10.31 9.87 10.02 10.87 9.89 log Mtot i [3] 124 196 236 83 92 197 100 face on face on face on 136 Vrotn h [3] References 1. van den Bergh, S. 1992, MNRAS, 255, 29pp 2. de Vaucouleurs, G., de Vaucouleurs, A., Corwin, H.G., Buta, R.J., Paturel, G., & Fouque, P. 1990, Third Reference Catalogue of Bright Galaxies (University of Texas Press, Austin) 3. Sandage, A., & Tammann, G. 1987, A Revised Shapley Ames Catalog of Bright Galaxies (Carnegie Institute of Washington, Washington, DC) 4. Tully, R.B. 1987, Nearby Galaxies Catalog (Cambridge University Press, Cambridge) 5. Fabbiano, G. 1989, ARA&A, 27, 87 6. Hodge, P. 1989, ARA&A, 27, 139; Caldwell, N. et al. 1992, AJ, 103, 840 Notes a Other suggested Local Group members include IC10 and 1927-17 = UGC 594-04 = SagDIG [4] and And IV [Madore, B.F. in Observer’s Handbook 1992, edited by B.L. Bishop (Royal Astronomical Society Canada), p. 223]. b Arcminutes; isophotal to 25m /sq. , except And. I, II, and III core radii. c Axial ratio, to 25m /sq. isophote. d Entire galaxy, no correction for absorption. e Entire galaxy, corrected for reddening. f Galactocentric radial velocity. g X-ray luminosity, 0.2–3.5 keV. Sp.-V/AQuan/1999/10/11:12:03 Page 579 23.2 N ORMAL G ALAXIES / 579 8.3 8.7 15.5 7.4 11.2 10.0 20.0 12.6 25.7 11.2 12.9 28.8 20.0 11.5 9.3 +32◦ 32 +11◦ 33 +41◦ 07 +21◦ 41 −49◦ 28 +42◦ 02 −43◦ 01 +47◦ 12 −29◦ 52 +54◦ 21 −63◦ 51 +60◦ 09 −32◦ 35 12h 42m 12h 44m 12h 51m 12h 57m 13h 05m 13h 16m 13h 25m 13h 30m 13h 37m 14h 03m 19h 10m 20h 35m 23h 58m Diam.a [2] +12◦ 23 −11◦ 37 Decl. (2000.0) [2] 12h 31m 12h 40m [2] RA 0.62 0.89 0.93 0.65 0.85 0.68 0.17 0.81 0.81 0.54 0.19 0.58 0.79 0.79 0.41 b/a b [2] 8.96 8.20 8.31 9.14 9.61 9.63 9.75 9.81 8.99 9.36 9.3 9.31 7.84 9.59 8.98 BT c [2] 0.40 0.53 0.61 0.44 0.64 0.88 0.55 0.95 0.72 0.71 0.93 0.45 (B − V )d0 [2] SAbc I-IIp SBc II SABcd I Sbc II Scd II SAd IV SBc/d III S0/E2 SAab II Sab II SBcd IV SAbc II-III S0p cD, E0p Sa/ab Type [1, 2] +551 +384 +360 +746 +277 +228 +629 +970 +360 +403 +383 +571 +398 +1229 +969 Vrg e [2] 7.7 4.7 5.4 10.4 5.5 2.8 6.9 16.8 4.3 4.1 5.2 7.2 4.9 16.8 20.0 Dist. f (Mpc) [3] −20.75 −20.31 −20.45 −21.39 −20.78 −17.69 −20.12 −21.36 −19.37 −19.15 −20.65 −20.42 −20.97 −21.64 −22.98 0i g M BT [3] 11.37 10.81 9.95 References 1. Sandage, A., & Tammann, G.A. 1987, A Revised Shapley Ames Catalog of Bright Galaxies (Carnegie Institute of Washington, Washington, DC) 2. de Vaucouleurs, G., de Vaucouleurs, A., Corwin, H.G., Buta, R.J., Paturel, G., & Fouque, P. 1990, Third Reference Catalogue of Bright Galaxies (University of Texas Press, Austin) (RC3) 3. Tully, R.B. 1987, Nearby Galaxies Catalog (Cambridge University Press, Cambridge) face on face on 185 153 104 11.15 10.78 186 224 10.70 11.38 log Mtot i [3] 142 369 Vrotn h [3] 580 / 23 Notes a Arcminutes; isophotal to 25m /sq. b Axial ratio, to 25m /sq. isophote. c Entire galaxy, no correction for absorption. d Entire galaxy, corrected for reddening; inclination corrections revised from RC3 (G. de Vaucouleurs, private communication). e Galactocentric radial velocity, km/s. f Distances larger by factors 1.2–2 and correspondingly brighter absolute magnitudes are given in [1]. g Entire galaxy, corrected for absorption and angle of inclination. h 21 cm velocity width, corrected for sin i. i From 21 cm velocity width and angular extent. NGC 4486 = M87 NGC 4594 = M104 (Sombrero) NGC 4631 NGC 4649 = M60 NGC 4736 = M94 NGC 4826 = M64 NGC 4945 NGC 5055 = M63 NGC 5128 (Cen. A) NGC 5194 = M55 NGC 5236 = M83 NGC 5457 = M101 NGC 6744 NGC 6946 NGC 7793 Galaxy [1] Table 23.7. (Continued.) Sp.-V/AQuan/1999/10/11:12:03 Page 580 M ILKY WAY AND G ALAXIES Sp.-V/AQuan/1999/10/11:12:03 Page 581 23.2 N ORMAL G ALAXIES / 581 Table 23.8. Galaxy counts. bJ N 15.29 15.77 16.25 16.71 17.29 17.74 18.29 18.72 19.25 19.77 20.27 20.77 0.47 0.83 1.51 2.90 6.11 11.7 24.8 41.7 81.3 140. 233. 407. The fainter counts have been corrected for galaxy spectral shapes (k correction) but generally not for galactic extinction. The numbers at b 90◦ will be smaller by log N = −s A(90◦ )(csc b − 1), where A(90◦ ) is the extinction at the pole (A B = 0.13–0.20) and s is the slope of log N (m) (= 0.6 in the Euclidean case). Most surveys that go fainter than b J = 20 find differential counts per square degree per unit magnitude [35]: log N (b J ) = 0.45b J + C, with normalization C = 7.7 to 8.2. The number of galaxies seen from outside the Milky Way would be larger than the polar cap number N (m) by log N = +s A(90◦ ), where A(90◦ ) = 0 to 0.20 in this context [32, 36]. 23.2.3 Luminosity Function Away from anomalies due to the Local Supercluster, a Schechter function [37] provides a remarkably good fit [38–41] over the range M B = −15 to −21: φ(L) d L = φ ∗ (L/L ∗ )α exp(−L/L ∗ ) d(L/L ∗ ), where φ ∗ = (0.015 ± 0.001)h 3 galaxies Mpc−3 , L ∗ is the luminosity corresponding to M B∗ = −19.5 ± 0.2 (M B = 5.48), and α = −1.1 ± 0.1 (−1.0 in the field, −1.25 in rich clusters). Such numbers have been corrected for redshift effects (including the k correction) and absorption in the Milky Way, using a variety of prescriptions. The true luminosity function is a strong function of Hubble morphological type; in particular, that for dwarf galaxies continues to rise faintward of M B = −14, though not so steeply that faint galaxies dominate the cosmic luminosity density [2, 39]. Sp.-V/AQuan/1999/10/11:12:03 Page 582 582 / 23 23.2.4 M ILKY WAY AND G ALAXIES Luminosity Density The luminosity density of the Universe, for a Schechter luminosity function, is [41] L = φ ∗ (α + 2)L ∗ , L = (1.4–2.0) × 108 h L /Mpc3 in the B band. Thus the closure density in the Universe corresponds to M/L B = (1400–2000)h(M/L) . Notes added in proof. A number of things have evolved since this chapter was completed in June 1992: the distance to the galactic center [42] and details of galactic structure [43]. New members of the Local Group include a dwarf spheroidal galaxy in Sagittarius [44], a Pegusus dwarf [45], and the nonmembership of Andromeda IV [46]. Galaxy properties as a function of Hubble type are discussed in [47], black holes in the centers of normal galaxies are discussed in [48], and a number of papers on galaxy counts are given in IAU Symposium 161 and 179 [49]. REFERENCES 1. Binney, J., & Tremaine, S.D. 1987, Galactic Dynamics (Princeton University Press, Princeton, NJ) 2. van den Bergh, S. 1992, MNRAS, 255, 29pp 3. Fich, M., & Tremaine, S. 1991, ARA&A, 29, 409 4. Beichman, C.A. 1987, ARA&A, 25, 521 5. van der Kruit, P. in The Galaxy, edited by G. Gilmore and B. Carswell (Reidel, Dordrecht) 6. Kulessa, A.S., & Lynden-Bell, D. 1992, MNRAS, 255, 105 7. Allen, C., & Santillan, A. 1991, Rev. Mexicana Astron. Af., 22, 255 8. Zombeck, M.V. 1982, Handbook of Space Astronomy and Astrophysics (Cambridge University Press, Cambridge) 9. McCammon, D., & Sanders, W.T. 1990, ARA&A, 28, 657 10. Bowyer, S. 1991, ARA&A, 29, 59 11. Bowyer, S., & Leinert, C., editors, 1990, IAU Symposium 139, Galactic and Extragalactic Backgrounds (Kluwer Academic, Dordrecht) 12. Bloemen, H. 1989, ARA&A, 27, 469 13. van der Kruit, P. 1987, in IAU Symposium 139, Ref. [11] 14. Genzel, R., & Townes, C.H. 1987, ARA&A, 25, 377 15. Vallee, J.P., Simard-Normandin, M., & Bignell, R.C. 1988, ApJ, 331, 321 16. Combes, F. 1991, ARA&A, 29, 295 17. Cowan, J.J., Thielmann, F.-K., & Truran, J.W. 1991, ARA&A, 29, 447 18. Wood, M.A. 1992, ApJ, 386, 539 19. Rana, N.C. 1991, ARA&A, 29, 129 20. Dickey, J.M., & Lockman, F.J. 1990, ARA&A, 28, 215 21. Young, J.S., & Scoville, N. 1991, ARA&A, 29, 281 22. Bahcall, J.N., Schmidt, M., & Soneira, R.M. 1983, ApJ, 265, 730 23. Bahcall, J.N., 1984, ApJ, 287, 926 24. Bahcall, J.N., Flynn, C., & Gould, A. 1992, ApJ, 389, 234, 25. Kuiken, K., & Gilmore, G. 1989, MNRAS, 239, 571, 605 26. Merrifield, M. 1992, AJ, 103, 1552 27. Bahcall, J.N. 1986, ARA&A, 24, 577 28. Allen, C.W. Astrophysical Quantities (Athlone Press, London), p. 283 29. Murray, C.A. 1988, A&Ap, 218, 325 30. Murray, C.A. 1992, private communication 31. Lang, K.R. 1980, Astrophysical Formulae (SpringerVerlag, Berlin), p. 50l 32. Sandage, A., & Tammann, G. 1987, A Revised Shapley Ames Catalog of Bright Galaxies (Carnegie Institute of Washington, Washington, DC) 33. de Vancouleurs, G., de Vaucouleurs, A., Corwin, H.G., Buta, R.J., Paturel, G., & Fougue, P. 1990, Third Reference Catalogue of Bright Galaxies (University of Texas Press, Austin) 34. Sandage, A., Tammann, G.A., & Hardy, E. 1972, ApJ, 172, 261 35. Maddox, S.J. et al. 1990, MNRAS, 247, 1p 36. de Vaucouleurs, G., de Vaucouleurs, A., & Corwin, H.G. 1976, Second Reference Catalogue of Bright Galaxies (University of Texas Press, Austin) (RC2) 37. Schechter, P. 1976, ApJ, 203, 297 38. Giovanelli, R., & Haynes, M. 1991, ARA&A, 29, 499 (but with factor 10 error in φ ∗ ) 39. Bingelli, B., Sandage, A., & Tammann, G.A. 1988, ARA&A, 26, 509 40. Loveday, J. et al. 1991, ApJ, 390, 338 41. Efstathiou, G., Ellis, R.S., & Peterson, B.A. 1988, MNRAS, 232, 431 42. Reid, M. 1993, ARA&A, 31, 345 Sp.-V/AQuan/1999/10/11:12:03 Page 583 23.2 N ORMAL G ALAXIES / 583 43. Majewski, S.R. 1993, ARA&A, 31, 575 44. Ibata, R.A., Gilmore, G., & Irwin, M.J. 1994, Nature, 370, 184 45. Apariacio, A. 1994, ApJL, 437, L27 46. Joseph, J.H. 1993, AJ, 105, 932 47. Robert, M.S., & Haynes, M.P. 1994, ARA&A, 32, 115 48. Kormendy, J., & Richstone, D. 1995, ARA&A, 33, 581 49. 1993, Astronomy from Wide Field Imaging, IAU Symposium 161 edited by H.T. MacGillivray (Kluwer Academic, Dordrecht); 1996, New Horizons from Multiwavelength Surveys, IAU Symposium 179 edited by B.J. McLean (Kluwer Academic, Dordrecht) Sp.-V/AQuan/1999/10/11:12:03 Page 584