Sp.-V/AQuan/1999/10/10:09:50 Page 315 Chapter 13 Solar System Small Bodies Richard P. Binzel, Martha S. Hanner, and Duncan I. Steel 13.1 13.1.1 13.1 Asteroids or Minor Planets . . . . . . . . . . . . . . . . 315 13.2 Comets . . . . . . . . . . . . . . . . . . . . . . . . . . . 321 13.3 Zodiacal Light . . . . . . . . . . . . . . . . . . . . . . . 328 13.4 Infrared Zodiacal Emission . . . . . . . . . . . . . . . 331 13.5 Meteoroids and Interplanetary Dust . . . . . . . . . . . 333 ASTEROIDS OR MINOR PLANETS Populations and Locations [1–3] Number of minor planets having well-determined orbits, cataloged by permanent designations (numbers) as of 1998, January 1: 8125. Number of known minor planets having less well-determined orbits, cataloged by provisional designations: > 25, 000. Most are located in the Main-belt, between Mars and Jupiter. Semimajor axis, range 2.06 to 3.28 AU, mean a = 2.68. Mean orbital eccentricity: e = 0.142. Mean orbital inclination: i = 7.92 deg. Mean orbital period: 4.40 yr. Number of main-belt asteroids larger than 100 km in diameter: 188, 50 km: 475. Estimated population of main-belt asteroids larger than diameter D (in km): N (> D) = 9.1 × 106 D −2.52 . 315 Sp.-V/AQuan/1999/10/10:09:50 Page 316 316 / 13 S OLAR S YSTEM S MALL B ODIES Near-Earth Asteroids (NEAs) are those approaching within 0.3 AU of the Earth’s orbit. Atens: a < 1.0 AU, aphelion Q > 0.983 AU. Number known as of 1998, January 1 = 27. Apollos: a ≥ 1.0 AU, perihelion q ≤ 1.017 AU. Number known as of 1998, January 1 = 213. Amors: a > 1.0 AU, 1.017 < q ≤ 1.3 AU. Number known as of 1998, January 1 = 207. Aten and Apollo asteroids have orbits which cross the Earth’s orbit. Orbits of many Amor asteroids can evolve to become Earth-crossing. Estimated population of Earth-crossing asteroids having diameter: > 1 km: 2100. > 100 m: 320,000. (A size likely to survive passage through the terrestrial atmosphere.) Typical collisional frequency (per object) with Earth, for an NEA having an Earth-crossing orbit: Pi = 2.2 per 109 yr. Mean collision velocity with Earth: Vc = 22.5 km/s. Trojan asteroidsare located in the vicinities of the L 4 and L 5 Lagrange points of Jupiter. Mean semimajor axis: a = 5.20 AU. Mean eccentricity: e = 0.080. Mean inclination: i = 15.9 deg. Number known as of 1998, January 1: 413. 13.1.2 Magnitudes [4] An asteroid’s absolute magnitude, H , is defined as its mean V magnitude (neglecting rotational and aspect variations), if it were observed at a distance r = 1 AU from the Sun, = 1 AU from the Earth, and a phase angle (Earth–object–Sun angle) α = 0. For other locations, an asteroid’s mean apparent V magnitude can be expressed by V = H (α) + 5 log r , where H (α) = H − 2.5 log[(1 − G) 1 (α) + G 2 (α)]. G is called the slope parameter which accounts for an asteroid’s nonlinear change in brightness as a function of phase angle only. 1 and 2 are described by i = exp{−Ai [tan(α/2)] Bi }; A2 = 1.87, A1 = 3.33, B1 = 0.63, i = 1, 2, B2 = 1.22. An asteroid’s diameter D (in km) can be estimated by log D = 3.129 − 0.5 log p − 0.2H, where p is its geometric albedo in the V passband. An asteroid’s Bond albedo, A, is related to the geometric albedo by the phase integral, q, where A = pq, q = 0.290 + 0.684G; 0 ≤ G ≤ 1. Sp.-V/AQuan/1999/10/10:09:50 Page 317 13.1 A STEROIDS OR M INOR P LANETS / 317 13.1.3 Physical Properties [5] Estimated total mass of the asteroids = 1.8 × 1024 g. Estimated densities for most asteroids, 1.0 − 3.5 g cm−3 . Possible compositions, typical albedos, slope parameters, and color indices for selected taxonomic types of asteroids. C-types: Carbonaceous chondrite, p = 0.05, G = 0.15, B − V = 0.70, U − B = 0.35. S-types: Stony-Iron? Ordinary chondrite?, p = 0.19, G = 0.25, B − V = 0.85, U − B = 0.44. M-types: Metal-rich?, p = 0.10, G = 0.20, B − V = 0.70, U − B = 0.25. Typical rotation period, P ∼ 9 h. Observed range: 2 to > 1000 h. Typical rotation light curve amplitude variation, M ∼ 0.2 mag. Observed range: 0 to > 1 mag. Typical shape, modeled by a triaxial ellipsoid with axes a, b, c, where a > b > c: √ a : b : c = 2 : 2 : 1. Lowest energy rotation state occurs about the c-axis. 13.1.4 Data Tables Tables 13.1 and 13.2 give the 100 largest and 147 of the nearest asteroids. Table 13.1. The 100 largest asteroids [1]. No. Name 1 2 4 10 511 704 52 15 87 16 24 31 65 3 324 107 624 532 451 48 19 29 121 423 13 45 94 88 7 702 Ceres Pallas Vesta Hygiea Davida Interamnia Europa Eunomia Sylvia Psyche Themis Euphrosyne Cybele Juno Bamberga Camilla Hektor Herculina Patientia Doris Fortuna Amphitrite Hermione Diotima Egeria Eugenia Aurora Thisbe Iris Alauda Year of Discovery D (km) a e i P (h) M (mag) Type p H G U−B B−V 1801 1802 1807 1849 1903 1910 1858 1851 1866 1852 1853 1854 1861 1804 1892 1868 1907 1904 1899 1857 1852 1854 1872 1896 1850 1857 1867 1866 1847 1910 913 523 501 429 337 333 312 272 271 264 249 248 245 244 242 237 233 231 230 225 221 219 217 217 215 214 212 210 203 202 2.77 2.77 2.36 3.14 3.18 3.06 3.10 2.64 3.49 2.92 3.13 3.14 3.44 2.67 2.68 3.48 5.18 2.77 3.06 3.11 2.44 2.55 3.44 3.08 2.58 2.72 3.16 2.77 2.39 3.19 0.078 0.234 0.091 0.120 0.178 0.148 0.100 0.185 0.083 0.134 0.134 0.228 0.104 0.258 0.341 0.084 0.024 0.176 0.071 0.069 0.158 0.072 0.143 0.034 0.086 0.083 0.082 0.164 0.230 0.029 10.6 34.8 7.1 3.8 15.9 17.3 7.4 11.8 10.9 3.1 0.8 26.3 3.5 13.0 11.1 9.9 18.2 16.4 15.2 6.5 1.6 6.1 7.6 11.2 16.5 6.6 8.0 5.2 5.5 20.6 9.075 7.811 5.342 18.4 5.13 8.727 5.631 6.083 5.183 4.196 8.38 5.531 6.07 7.21 29.43 4.84 6.921 9.405 9.727 11.89 7.445 5.39 6.1 4.622 7.045 5.699 7.22 6.042 7.139 8.36 0.04 0.03–0.16 0.12 0.09–0.18 0.06–0.25 0.03–0.11 0.09–0.10 0.4–0.56 0.30–0.62 0.03–0.42 0.10–0.14 0.09–0.13 0.04–0.12 0.14–0.22 0.07 0.32–0.52 0.1–1.1 0.08–0.18 0.05–0.10 0.35 0.22–0.35 0.01–0.15 0.03 0.06–0.18 0.12 0.08–0.41 0.12 0.08–0.21 0.04–0.29 0.07–0.10 G B V C C F CF S P M C C P S CP C D S CU CG G S C C G FC CP CF S C 0.10 0.14 0.38 0.07 0.05 0.06 0.05 0.19 0.04 0.10 3.32 4.13 3.16 5.27 6.17 6.00 6.25 5.22 6.95 5.99 7.07 6.53 6.79 5.31 6.82 6.80 7.47 5.78 6.65 6.83 7.09 5.84 7.39 7.48 6.47 7.27 7.55 7.05 5.76 7.23 0.11 0.15 0.34 −0.04 0.02 0.02 0.00 0.20 0.28 0.22 0.10 0.15 0.15 0.30 0.10 −0.17 0.15 0.25 0.20 −0.05 0.10 0.21 0.15 0.68 −0.02 0.15 0.09 0.17 0.51 0.13 0.43 0.29 0.50 0.35 0.36 0.26 0.33 0.46 0.25 0.25 0.35 0.32 0.27 0.41 0.30 0.30 0.24 0.41 0.33 0.43 0.39 0.42 0.39 0.30 0.46 0.27 0.30 0.29 0.48 0.32 0.72 0.66 0.80 0.69 0.72 0.64 0.66 0.84 0.70 0.70 0.68 0.67 0.67 0.81 0.70 0.70 0.79 0.85 0.65 0.72 0.75 0.83 0.72 0.67 0.75 0.66 0.66 0.66 0.85 0.66 0.07 0.05 0.22 0.05 0.06 0.16 0.07 0.06 0.16 0.04 0.03 0.09 0.04 0.03 0.21 0.05 Sp.-V/AQuan/1999/10/10:09:50 Page 318 318 / 13 S OLAR S YSTEM S MALL B ODIES Table 13.1. (Continued). No. 375 372 128 6 154 76 130 22 259 776 41 2060 9 120 747 790 566 911 96 194 59 386 54 1437 334 444 241 409 185 11 139 354 804 165 39 89 173 488 536 85 150 238 145 49 117 168 14 51 106 20 1172 137 283 209 361 617 18 211 308 508 895 93 144 196 420 Name Ursula Palma Nemesis Hebe Bertha Freia Elektra Kalliope Aletheia Berbericia Daphne Chirona Metis Lachesis Winchester Pretoria Stereoskopia Agamemnon Aegle Prokne Elpis Siegena Alexandra Diomedes Chicago Gyptis Germania Aspasia Eunike Parthenope Juewa Eleonora Hispania Loreley Laetitia Julia Ino Kreusa Merapi Io Nuwa Hypatia Adeona Pales Lomia Sibylla Irene Nemausa Dione Massalia Aneas Meliboea Emma Dido Bononia Patroclus Melpomene Isolda Polyxo Princetonia Helio Minerva Vibilia Philomela Bertholda Year of Discovery D (km) a e i 1893 1893 1872 1847 1875 1862 1873 1852 1886 1914 1856 1977 1848 1872 1913 1912 1905 1919 1868 1879 1860 1894 1858 1937 1892 1899 1884 1895 1878 1850 1874 1893 1915 1876 1856 1866 1877 1902 1904 1865 1875 1884 1875 1857 1871 1876 1851 1858 1868 1852 1930 1874 1889 1879 1893 1906 1852 1879 1891 1903 1918 1867 1875 1879 1896 200 195 194 192 192 190 189 187 185 183 182 180 179 178 178 176 175 175 174 174 173 173 171 171 170 170 169 168 165 162 162 162 161 160 159 159 159 158 158 157 157 156 155 154 154 154 153 153 152 151 151 150 150 149 149 149 148 148 148 147 147 146 146 146 146 3.13 3.14 2.75 2.43 3.18 3.42 3.11 2.91 3.15 2.93 2.76 13.68 2.39 3.12 3.00 3.41 3.39 5.21 3.05 2.62 2.71 2.90 2.71 5.11 3.87 2.77 3.05 2.58 2.74 2.45 2.78 2.80 2.84 3.13 2.77 2.55 2.74 3.14 3.50 2.65 2.98 2.91 2.67 3.08 2.99 3.38 2.59 2.37 3.16 2.41 5.16 3.11 3.04 3.14 3.95 5.23 2.30 3.05 2.75 3.16 3.20 2.75 2.66 3.11 3.41 0.102 0.264 0.126 0.202 0.095 0.169 0.219 0.098 0.112 0.166 0.273 0.380 0.122 0.064 0.343 0.154 0.093 0.068 0.140 0.238 0.117 0.169 0.196 0.046 0.041 0.173 0.103 0.070 0.127 0.100 0.177 0.116 0.138 0.070 0.115 0.181 0.209 0.179 0.090 0.194 0.125 0.089 0.146 0.236 0.023 0.049 0.166 0.065 0.182 0.144 0.104 0.224 0.151 0.067 0.216 0.139 0.218 0.155 0.038 0.023 0.149 0.142 0.233 0.027 0.047 15.9 23.9 6.2 14.8 21.1 2.1 22.9 13.7 10.7 18.2 15.8 6.9 5.6 7.0 18.2 20.6 4.9 21.8 16.0 18.5 8.6 20.3 11.8 20.6 4.7 10.3 5.5 11.2 23.2 4.6 10.9 18.4 15.3 11.2 10.4 16.1 14.2 11.5 19.4 12.0 2.2 12.4 12.6 3.2 14.9 4.6 9.1 10.0 4.6 0.7 16.7 13.4 8.0 7.2 12.7 22.0 10.1 3.9 4.4 13.3 26.1 8.6 4.8 7.3 6.7 P (h) M (mag) Type 16.83 6.58 39 7.274 0.05–0.17 0.12 0.10 0.05–0.20 C BFC C S 9.98 5.225 4.147 0.15–0.2 0.19–0.58 0.04–0.30 7.672 5.988 0.13–0.23 0.16–0.38 5.078 0.04–0.36 P G M CP C C B S C PC P C D T C CP C C DP C C CP CX C S CP S PC CD S S C C X FC CX C C CG XC C S CU G S D C X C DP P S C T C FCB CU C S P 9.4 10.37 7 0.13 0.16 0.2–0.4 15.67 13.69 9.763 7.04 18 0.27 0.1 0.11 0.12 0.35–0.42 6.214 0.15 9.03 10.83 7.83 41.8 4.277 7.42 7.6 5.138 11.39 5.93 0.10–0.14 0.07–0.12 0.18 0.12–0.30 0.19 0.12 0.08–0.53 0.10–0.25 0.04–0.11 6.875 8.14 8.9 8.1 10.42 0.15 0.09 0.12 0.08 0.15–0.20 9.35 7.785 0.04–0.1 0.14–0.25 8.098 0.17–0.27 6.888 8 0.31 0.20 11.57 0.22–0.35 12.03 0.20 5.97 13.81 8.333 0.10 0.13 0.07–0.33 p 0.05 0.04 0.25 0.07 0.02 0.08 0.12 0.03 0.07 0.04 0.04 0.03 0.03 0.04 0.03 0.05 0.04 0.06 0.05 0.02 0.06 0.04 0.06 0.05 0.05 0.15 0.05 0.19 0.04 0.06 0.29 0.16 0.05 0.05 0.04 0.06 0.03 0.03 0.04 0.05 0.04 0.05 0.08 0.08 0.19 0.03 0.04 0.02 0.04 0.03 0.04 0.22 0.05 0.04 0.03 0.02 0.08 0.05 0.18 0.03 H G U−B B−V 7.43 7.33 7.55 5.70 7.09 8.08 6.86 6.50 7.86 7.68 7.16 6.62 6.32 7.73 7.68 8.05 8.15 7.88 7.97 7.66 7.72 7.42 7.70 8.30 7.46 7.85 7.50 7.60 7.73 6.62 7.79 6.32 7.87 7.49 5.94 6.57 7.79 7.83 8.08 7.56 8.32 8.38 8.05 7.91 8.18 7.93 6.27 7.36 7.42 6.52 8.26 8.04 8.73 8.15 8.27 8.17 6.41 7.84 8.18 8.30 8.64 7.47 7.87 6.64 8.35 0.23 0.25 0.15 0.24 0.15 0.44 −0.04 0.22 0.15 0.34 −0.06 0.25 0.29 0.17 0.15 0.15 0.43 0.15 0.15 0.15 0.01 0.23 0.15 0.15 −0.06 0.23 0.04 0.28 0.27 0.27 0.15 0.32 0.22 0.15 −0.03 0.14 0.12 0.15 0.15 0.05 0.15 0.51 0.01 0.39 0.48 0.16 0.09 0.06 0.17 0.26 0.15 0.10 0.15 −0.09 0.15 0.15 0.18 0.03 0.28 0.15 0.15 −0.11 0.08 0.48 0.04 0.34 0.68 0.36 0.38 0.68 0.83 0.29 0.47 0.25 0.28 0.39 0.37 0.28 0.51 0.38 0.32 0.30 0.30 0.22 0.34 0.35 0.29 0.40 0.36 0.24 0.36 0.30 0.29 0.34 0.33 0.42 0.29 0.54 0.38 0.31 0.50 0.48 0.32 0.36 0.28 0.28 0.27 0.38 0.36 0.39 0.30 0.38 0.39 0.47 0.47 0.42 0.26 0.33 0.30 0.29 0.19 0.21 0.39 0.36 0.37 0.33 0.70 0.75 0.69 0.67 0.70 0.73 0.70 0.86 0.70 0.71 0.70 0.70 0.77 0.77 0.73 0.67 0.74 0.70 0.70 0.72 0.68 0.69 0.72 0.68 0.85 0.70 0.95 0.71 0.74 0.89 0.88 0.70 0.70 0.69 0.66 0.71 0.73 0.69 0.75 0.68 0.75 0.84 0.77 0.74 0.81 0.73 0.70 0.71 0.69 0.75 0.70 0.85 0.72 0.79 0.73 0.25 0.39 0.46 0.23 0.73 0.72 0.86 0.69 Sp.-V/AQuan/1999/10/10:09:50 Page 319 13.1 A STEROIDS OR M INOR P LANETS / 319 Table 13.1. (Continued). No. Name 95 489 69 349 762 Arethusa Comacina Hesperia Dembowska Pulcova Year of Discovery D (km) a e i 1867 1902 1861 1892 1913 145 144 143 143 142 3.07 3.16 2.98 2.92 3.16 0.144 0.032 0.169 0.091 0.092 12.9 12.9 8.6 8.3 13.0 P (h) M (mag) 8.688 0.24 5.655 4.701 0.20 0.08–0.47 Type p H C C M R F 0.06 0.03 0.12 0.34 0.03 7.84 8.36 7.10 5.98 8.58 G U−B B−V 0.37 0.36 0.23 0.54 0.31 0.71 0.69 0.70 0.93 0.65 0.08 0.15 0.15 0.33 0.50 Note a Object 2060 Chiron is known to exhibit cometary activity, e.g., IAUC 4770, and is catalogued as comet 95p. Reference 1. Binzel, R.P., Gehrels, T., & Matthews, M.S., editors, 1989, Asteroids II Database, in Asteroids II (University of Arizona Press, Tucson), pp. 997–1190 Table 13.2. Near-earth asteroids having permanent designations [1–3].a No. 433 719 887 1036 1221 1566 1580 1620 1627 1685 1862 1863 1864 1865 1866 1915 1916 1917 1943 1980 1981 2059 2061 2062 2063 2100 2101 2102 2135 2201 2202 2212 2329 2340 2368 2608 3102 3103 3122 3199 3200 3271 3288 3352 3360 Name Eros Albert Alinda Ganymed Amor Icarus Betulia Geographos Ivar Toro Apollo Antinous Daedalus Cerberus Sisyphus Quetzalcoatl Boreas Cuyo Anteros Tezcatlipoca Midas Baboquivari Anza Aten Bacchus Ra-Shalom Adonis Tantalus Aristaeus Oljato Pele Hephaistos Orthos Hathor Beltrovata Seneca Krok Eger Florence Nefertiti Phaethon Ul Seleucus McAuliffe Provisional designation q (AU) a e i H Type 1898 DQ 1911 MT 1918 DB 1924 TD 1932 EA1 1949 MA 1950 KA 1951 RA 1929 SH 1948 OA 1932 HA 1948 EA 1971 FA 1971 UA 1972 XA 1953 EA 1953 RA 1968 AA 1973 EC 1950 LA 1973 EA 1963 UA 1960 UA 1976 AA 1977 HB 1978 RA 1936 CA 1975 YA 1977 HA 1947 XC 1972 RA 1978 SB 1976 WA 1976 UA 1977 RA 1978 DA 1981 QA 1982 BB 1981 ET3 1982 RA 1983 TB 1982 RB 1982 DV 1981 CW 1981 VA 1.133 1.189 1.087 1.226 1.083 0.187 1.119 0.828 1.124 0.771 0.647 0.891 0.563 0.576 0.873 1.081 1.250 1.066 1.064 1.085 0.622 1.256 1.048 0.790 0.701 0.469 0.441 0.905 0.794 0.626 1.119 0.362 0.820 0.464 1.234 1.044 1.188 0.907 1.021 1.128 0.140 1.271 1.102 1.186 0.633 1.458 2.584 2.486 2.658 1.919 1.078 2.195 1.245 1.863 1.367 1.471 2.260 1.461 1.080 1.893 2.537 2.272 2.150 1.430 1.710 1.776 2.651 2.265 0.967 1.078 0.832 1.874 1.290 1.599 2.174 2.292 2.168 2.402 0.844 2.105 2.491 2.152 1.406 1.769 1.574 1.271 2.102 2.032 1.879 2.465 0.223 0.540 0.563 0.539 0.436 0.827 0.490 0.335 0.397 0.436 0.560 0.606 0.615 0.467 0.539 0.574 0.450 0.504 0.256 0.365 0.650 0.526 0.537 0.183 0.349 0.437 0.765 0.299 0.503 0.712 0.512 0.833 0.659 0.450 0.414 0.581 0.448 0.355 0.423 0.284 0.890 0.395 0.458 0.369 0.743 10.8 10.8 9.3 26.6 11.9 22.9 52.1 13.3 8.4 9.4 6.4 18.4 22.2 16.1 41.2 20.4 12.8 23.9 8.7 26.9 39.8 11.0 3.8 18.9 9.4 15.8 1.4 64.0 23.0 2.5 8.8 11.8 24.4 5.8 5.3 15.3 8.4 20.9 22.2 33.0 22.1 25.0 5.9 4.8 21.7 11.2 16.0 13.8 9.5 17.7 16.9 14.5 15.6 13.2 14.2 16.3 15.5 14.9 16.8 13.0 19.0 14.9 13.9 15.8 13.9 15.5 15.8 16.6 16.8 17.1 16.1 18.7 16.2 17.9 15.3 17.6 13.9 14.9 19.2 15.2 17.5 15.6 15.4 14.2 14.8 14.6 16.7 15.3 15.8 16.3 S S S S C S S S Q S SQ S S S S S S S TCG S C S? SG CSU SQ S QRS E S F S D (km) 17 2 5 41 1 2 8 2 7 12 1 2 3 1 10 0.5 3 6 2 13 3 3 3 1 1 4 1 2 1 2 1 5 4 1 3 1 2 3 6 3 5 2 3 3 2 Pi (109 yr) Vc (km/s) 1.5 1.8 0.5 3.8 1.8 4.0 2.8 1.3 1.0 2.5 15.4 30.6 30.6 16.7 14.0 17.2 20.3 19.9 26.0 20.9 1.3 3.5 17.8 13.4 3.8 30.7 1.3 7.1 6.5 6.3 2.8 2.5 2.0 2.3 0.1 0.4 1.8 14.0 14.2 16.0 15.8 17.9 25.4 34.8 21.0 26.4 14.8 34.6 23.3 16.3 3.9 2.1 17.3 17.0 1.4 35.0 1.4 21.0 0.7 26.6 Category Amor Amor Amor Amor Amor Apollo Amor Apollo Amor Apollo Apollo Apollo Apollo Apollo Apollo Amor Amor Amor Amor Amor Apollo Amor Amor Aten Apollo Aten Apollo Apollo Apollo Apollo Amor Apollo Apollo Aten Amor Amor Amor Apollo Amor Amor Apollo Amor Amor Amor Apollo Sp.-V/AQuan/1999/10/10:09:50 Page 320 320 / 13 S OLAR S YSTEM S MALL B ODIES Table 13.2. (Continued.) No. 3361 3362 3551 3552 3553 3554 3671 3691 3752 3753 3757 3838 3908 3988 4015b 4034 4055 4179 4183 4197 4257 4341 4401 4450 4486 4487 4503 4544 4581 4596 4660 4688 4769 4947 4953 4954 4957 5011 5131 5143 5189 5324 5332 5370 5381 5496 5587 5590 5604 5620 5626 5645 5646 5653 5660 5693 5731 5751 5786 5797 5828 5836 5863 5869 5879 6037 6047 Name Orpheus Khufu Verenia Don Quixote Mera Amun Dionysus Camillo Epona WilsonHarrington Magellan Toutatis Cuno Ubasti Poseidon Aditi Pan Mithra Pocahontas Cleobulus Xanthus Asclepius Nereus Castalia Ninkasi Eric Brucemurray Ptah Heracles Lyapunov Taranis Sekhmet Zeus Zao Talos Bivoj Tara Tanith Provisional designation q (AU) a e i H Type 1982 HR 1984 QA 1983 RD 1983 SA 1985 JA 1986 EB 1984 KD 1982 FT 1985 PA 1986 TO 1982 XB 1986 WA 1980 PA 1986 LA 1979 VA 0.819 0.526 1.073 1.209 1.117 0.701 1.003 1.270 0.986 0.484 1.017 0.449 1.043 1.055 1.000 1.209 0.989 2.092 4.233 1.645 0.974 2.196 1.774 1.414 0.998 1.835 1.505 1.926 1.545 2.644 0.323 0.469 0.487 0.714 0.321 0.280 0.543 0.284 0.302 0.515 0.446 0.702 0.459 0.317 0.622 2.7 9.9 9.5 30.8 36.8 23.4 13.6 20.4 55.6 19.8 3.9 29.3 2.2 10.8 2.8 19.0 18.3 16.8 13.0 16.5 15.8 16.3 14.9 15.5 15.1 19.0 15.5 17.4 18.2 16.0 V 1986 PA 1985 DO2 1989 AC 1959 LM 1982 TA 1987 QA 1987 KF 1985 TB 1987 SY 1987 SB 1987 UA 1989 WM 1989 FB 1989 FC 1981 QB 1982 DB 1980 WF 1989 PB 1988 TJ1 1990 MU 1990 SQ 1990 XJ 6743 P-L 1990 BG 1991 VL 1990 UQ 1987 SL 1990 DA 1986 RA 1991 JY 1973 NA 1990 SB 1990 VA 1992 FE 1990 OA 1991 FE 1990 SP 1990 TR 1992 WD5 1974 MA 1993 EA 1988 VP4 1992 AC 1991 RC 1980 AA 1991 AM 1993 MF 1983 RB 1988 VN4 1992 CH1 1988 EG 1991 TB1 0.589 1.226 0.920 0.718 0.523 0.876 0.588 1.117 0.596 0.743 1.217 1.279 0.781 0.657 1.077 0.953 1.081 0.549 1.139 0.555 1.104 1.223 0.818 0.639 0.419 0.810 1.136 1.176 1.228 0.667 0.881 1.080 0.710 0.551 1.247 1.201 0.830 1.205 1.248 0.424 0.527 0.786 1.215 0.187 1.053 0.517 1.143 1.097 1.231 1.154 0.636 0.942 1.060 1.820 2.512 1.980 2.298 1.647 1.835 2.578 1.442 2.200 1.731 2.703 1.042 1.022 2.239 1.490 2.232 1.063 1.370 1.621 2.001 1.565 1.635 1.486 1.835 1.551 2.958 2.163 3.344 0.947 2.433 2.392 0.985 0.927 2.159 2.196 1.355 2.143 1.794 1.786 1.272 2.267 2.104 1.081 1.893 1.698 2.443 2.222 1.812 1.625 1.269 1.454 0.444 0.326 0.634 0.638 0.773 0.468 0.679 0.567 0.586 0.663 0.297 0.527 0.250 0.357 0.519 0.360 0.516 0.483 0.168 0.658 0.448 0.219 0.500 0.570 0.771 0.478 0.616 0.456 0.633 0.296 0.638 0.548 0.279 0.405 0.422 0.453 0.387 0.438 0.304 0.763 0.585 0.653 0.423 0.827 0.444 0.696 0.532 0.506 0.321 0.289 0.499 0.352 11.2 23.2 0.5 6.8 12.2 40.7 11.9 26.7 5.5 3.0 16.4 2.5 14.1 4.9 37.1 1.4 6.4 8.9 15.6 24.4 17.5 35.0 7.4 36.4 9.2 3.6 19.5 25.4 19.0 49.0 68.0 18.1 14.2 4.8 7.8 3.9 13.5 7.9 6.9 38.0 5.1 11.5 16.1 23.3 4.2 30.0 8.0 19.4 17.9 21.6 3.5 23.5 18.1 14.8 15.3 14.4 14.6 16.2 15.5 15.8 17.2 15.6 17.1 15.6 17.1 20.4 16.0 18.2 19.0 16.9 18.7 14.1 12.6 15.1 17.1 14.1 14.0 17.3 15.2 13.9 15.7 16.5 15.3 13.6 19.7 16.4 17.0 14.7 17.0 14.3 15.4 15.7 17.0 15.8 14.8 17.0 19.1 16.3 13.9 15.5 17.0 17.9 18.7 17.0 V D M S V CF V SQ S S C S S D (km) Pi (109 yr) 1 1 1 18 2 3 2 4 3 4 0.5 3 1 1 4 21.0 5.3 14.0 19.8 5.4 1.5 17.4 16.0 1.0 3.0 5.1 1.0 4.0 27.0 22.0 13.4 29.0 14.7 0.8 15.5 1 3 3 5 5 2 3 3 1 3 1 3 1 0.5 2 1 0.5 2 1 6 12 4 1 6 6 1 3 6 5 2 3 7 0.5 2 2 4 2 5 3 3 2 3 4 2 1 2 6 3 2 1 1 2 Vc (km/s) 1.3 1.0 21.3 27.0 1.5 23.3 6.4 5.5 22.2 18.5 6.6 13.3 0.8 22.5 1.1 4.2 15.5 15.4 21.8 13.1 20.9 18.9 0.6 26.5 3.8 0.6 16.7 26.3 5.8 17.2 2.9 0.5 26.7 40.5 5.4 16.5 1.6 4.0 16.4 17.0 0.9 32.0 1.0 20.1 0.3 0.5 13.2 28.0 8.8 18.3 Category Apollo Aten Amor Amor Amor Aten Amor Amor Apollo Aten Amor Apollo Amor Amor Amor Apollo Amor Apollo Apollo Apollo Apollo Apollo Amor Apollo Apollo Amor Amor Apollo Apollo Amor Apollo Amor Apollo Amor Apollo Amor Amor Apollo Apollo Apollo Apollo Amor Amor Amor Aten Apollo Amor Aten Aten Amor Amor Apollo Amor Amor Apollo Apollo Apollo Amor Apollo Amor Apollo Amor Amor Amor Amor Apollo Apollo Sp.-V/AQuan/1999/10/10:09:50 Page 321 13.2 C OMETS / 321 Table 13.2. (Continued.) No. 6050 6053 6063 6178 6239 6455 6456 6489 6491 6569 6611 7025 7088 7092 7236 7335 7336 7341 7350 7358 7474 7480 7482 7753 7822 7839 7888 7889 7977 8013 8014 8034 8035 8037 Name Jason Minos Golombek Golevka Ishtar Cadmus Norwan Hermesc Provisional designation q (AU) a e i H 1992 AE 1993 BW3 1984 KB 1986 DA 1989 QF 1992 HE 1992 OM 1991 JX 1991 OA 1993 MO 1993 VW 1993 QA 1992 AA 1992 LC 1987 PA 1989 JA 1989 RS1 1991 VK 1993 VA 1995 YA3 1992 TC 1994 PC 1994 PC1 1988 XB 1991 CS 1994 ND 1993 UC 1994 LX 1977 QQ5 1990 KA 1990 MF 1992 LR 1992 TB 1993 HO1 1937 UB 1.240 1.010 0.522 1.174 0.676 0.959 1.298 1.011 1.036 1.267 0.873 1.011 1.208 0.744 1.185 0.913 1.195 0.909 0.825 1.095 1.108 1.071 0.905 0.761 0.938 1.047 0.819 0.825 1.189 1.246 0.950 1.082 0.721 1.159 0.618 2.202 2.146 2.216 2.817 1.151 2.241 2.194 2.517 2.508 1.626 1.695 1.476 1.981 2.522 2.717 1.771 2.305 1.842 1.356 2.198 1.566 1.568 1.346 1.468 1.123 2.166 2.436 1.262 2.226 2.198 1.746 1.830 1.342 1.987 1.644 0.437 0.529 0.764 0.583 0.413 0.572 0.409 0.598 0.587 0.221 0.485 0.315 0.390 0.705 0.564 0.484 0.481 0.507 0.391 0.502 0.292 0.317 0.328 0.482 0.165 0.517 0.664 0.346 0.466 0.433 0.456 0.409 0.462 0.417 0.624 6.4 21.6 4.8 4.3 3.9 37.4 8.2 2.3 5.5 22.6 8.7 12.6 8.3 17.8 16.4 15.2 7.2 5.4 7.3 4.7 7.1 9.5 33.5 3.1 37.1 27.2 26.0 36.9 25.2 7.6 1.9 2.0 28.3 5.9 6.1 15.4 15.1 15.3 15.1 17.9 13.8 15.9 19.2 18.5 16.5 16.5 18.3 16.7 15.4 18.4 17.0 18.7 16.7 17.3 14.4 18.0 17.2 16.8 18.6 17.4 17.9 15.3 15.3 15.4 16.6 18.7 17.9 17.3 16.6 18.0 Type S M D (km) 3 4 3 4 1 7 3 1 1 2 2 1 2 3 1 2 1 2 1 5 1 1 2 1 1 1 3 3 3 1 0.5 1 1 1 1 Pi (109 yr) Vc (km/s) 1.1 28.8 6.4 17.9 2.8 17.5 6.2 5.0 17.0 22.0 16.6 14.1 2.2 21.7 Category Amor Amor Apollo Amor Apollo Apollo Amor Amor Amor Amor Apollo Amor Amor Apollo Amor Apollo Amor Apollo Apollo Amor Amor Amor Apollo Apollo Apollo Amor Apollo Apollo Amor Amor Apollo Amor Apollo Amor Apollo Notes a Collision probabilities are available only for objects discovered prior to mid-1991. These values are presented only for objects which can evolve into an Earth-intersecting orbit. b Object 4015 Wilson–Harrington is also catalogued as comet 107P. c Object Hermes received a permanent name upon discovery, but is currently lost. References 1. IAU Minor Planet Center web page as of 1998 January 1. http://cfa.www.harvard.edu/cfa/ps/mpc.html 2. The Spaceguard Survey, Report of the NASA International Near-Earth Object Detection Workshop (1992) 3. T. Gehrels, editor, 1994, Hazards Due to Comets and Asteroids, (University of Arizona Press, Tucson) 13.2 13.2.1 COMETS Locations and Populations [6, 7, 2] The source region for long-period and high-inclination, short-period comets is the Oort cloud. Estimated distance: 103 to 105 AU. Estimated number of comets: 1011 –1013 . Estimated total mass: 1025 –1027 kg. The primary source for low-inclination, short-period comets is the Kuiper belt. Estimated distance: 30 to 1000 AU. Estimated number of comets: 108 –1012 . Sp.-V/AQuan/1999/10/10:09:50 Page 322 322 / 13 S OLAR S YSTEM S MALL B ODIES Estimated total mass: 1022 –1026 kg. Total number known as of 1998, January 1: 60. Short-period comets, defined as orbital period P < 200 yr. Total number known as of 1998, January 1: 193. Average number of apparitions per year: 17. Typical discovery rate per year for new comets: 6. Mean semimajor axis: a = 5.8 AU. Mean orbital eccentricity: e = 0.6. Mean inclination: i = 19 deg. Long-period comets, defined as orbital period P > 200 yr. Total number known as of 1998, January 1: 756. Typical discovery rate per year for new comets: 6. Estimated semimajor axes: 102 –105 AU. Typical orbital eccentricity: e ∼ 1. Inclinations are isotropic. 13.2.2 Magnitudes [6] A comet’s absolute magnitude, Ho , is defined as its integrated V magnitude if it were observed at a distance r = 1 AU from the Sun, = 1 AU from the Earth, and zero phase angle. At other distances, a comet’s integrated V magnitude can be estimated by V = Ho + 2.5n log r + 5 log . Typical range for n: 2 to 8. Average value: n ∼ 4. For a body with no coma, tail, or emission: n = 2. 13.2.3 Physical Properties [6–8] Nucleus: Diameter range: 1.0–40 km (Halley = 16 × 8 × 7 km). Mass range: 1014 –1019 g (Halley = 1017 –1018 g). Density range: 0.1–1.1 g cm−3 (Halley estimates: 0.2 to 1.1 g cm−3 ). Estimated albedo range: 0.01–0.05 (Halley = 0.035). Typical rotation period: 12 h (Halley = 2.2 and 7.4 days). Typical dust production rate at 1 AU: 104 –106 g/s. Typical gas production rate at 1 AU: 1028 –1030 molecules/s. Gas/dust expansion rate at 1 AU: 0.5 to 1.0 km/s. Typical dust/gas ratio (by mass): 1.0 to 2.0. Typical mass loss per apparition: 0.05 to 1.0 percent of total mass. Estimated composition of ices: H2 O (80%), CO (3–7%), CO2 (3%), CH3 OH (1–6%), plus CH3 CN, (H2 CO)n , HCN. Estimated composition of grains: Mg-rich silicates, refractory organics. Sp.-V/AQuan/1999/10/10:09:50 Page 323 13.2 C OMETS / 323 Coma: Typical radius: 104 –105 km. Typical composition: H2 O, CO, CO2 , OH, H2 CO, CH3 OH, CH3 CN, CN, C2 , C3 . Hydrogen cloud: Typical radius: 107 km. Typical production rate at 1 AU: 1028 –1030 H atoms/s. Ion Tail (Type I): Typical length: 106 –108 km. Direction: antisolar. + + Principal species: CO+ , H2 O+ , CO+ 2 , OH , H3 O . Dust Tail (Type II): Typical length: 106 –107 km. Direction: Initially antisolar, becoming curved as dust particles follow independent orbits. Particle size range: 0.1 to 100 microns. Typical particle composition: silicates and refractory organics. 13.2.4 Comet Data Tables Table 13.3 lists short-period comets with more than one apparition, while Table 13.4 lists those with only one appearance. Table 13.5 gives selected long-period comets. Table 13.6 lists probable cometary nature objects. Table 13.3. Short period comets having more than one known apparition [1]. Comet Name 2P 107Pa 26P 79P 96P 45P 73P 25D 5D 41P 10P 9P 46P 71P 88P 11D 100P 83P 37P 116P 103P 54P 81P 7P 6P 57P 104P 31P 76P Encke Wilson–Harrington Grigg–Skjellerup du Toit–Hartley Machholz Honda–Mrkos–Pajdusakova Schwassmann–Wachmann 3 Neujmin 2 Brorsen Tuttle–Giacobini–Kresak Tempel 2 Tempel 1 Wirtanen Clark Howell Tempel–Swift Hartley 1 Russell 1 Forbes Wild 4 Hartley 2 de Vico–Swift Wild 2 Pons–Winnecke d’Arrest du Toit–Neujmin–Delporte Kowal 2 Schwassmann–Wachmann 2 West–Kohoutek–Ikemura Perihelion Orbital date period Perihelion Orbital Longitude Longitude Orbital Apehelion (Year) (yrs) (AU) eccentricity of perihelion of asc. node inclination (AU) 1994.1 1992.6 1992.6 1987.4 1991.6 1990.7 1990.4 1927.0 1879.2 1990.1 1994.2 1994.5 1991.7 1989.9 1993.2 1908.8 1991.4 1985.5 1993.2 1996.7 1991.7 1965.3 1991.0 1989.6 1989.1 1989.8 1991.8 1994.1 1994.0 3.28 4.29 5.10 5.21 5.24 5.30 5.35 5.43 5.46 5.46 5.48 5.50 5.50 5.51 5.58 5.68 6.02 6.10 6.13 6.16 6.26 6.31 6.37 6.38 6.39 6.39 6.39 6.39 6.41 0.33 1.00 1.00 1.20 0.13 0.54 0.94 1.34 0.59 1.07 1.48 1.49 1.08 1.56 1.41 1.15 1.82 1.61 1.45 1.99 0.95 1.62 1.58 1.26 1.29 1.72 1.50 2.07 1.58 0.850 0.623 0.664 0.601 0.958 0.822 0.694 0.567 0.810 0.656 0.522 0.520 0.652 0.501 0.552 0.638 0.451 0.517 0.568 0.408 0.719 0.524 0.541 0.634 0.625 0.502 0.564 0.399 0.543 186.3 90.9 359.3 251.6 14.5 325.8 198.8 193.7 14.9 61.6 194.9 178.9 356.2 209.0 234.8 113.4 178.8 0.4 310.5 170.8 174.9 325.4 41.6 172.3 177.1 115.3 189.5 358.2 360.0 334.7 271.1 213.3 309.3 94.5 89.3 69.9 328.7 103.0 141.6 118.2 69.0 82.3 59.7 57.7 291.8 38.9 230.8 334.5 22.1 226.8 25.1 136.2 93.4 139.5 189.1 247.8 126.2 84.2 11.9 2.8 21.1 2.9 60.1 4.2 11.4 10.6 29.4 9.2 12.0 10.6 11.7 9.5 4.4 5.4 25.7 22.7 7.2 3.7 9.3 3.6 3.2 22.3 19.4 2.8 15.8 3.8 30.5 4.09 4.29 4.93 4.81 5.91 5.54 5.18 4.84 5.61 5.14 4.73 4.73 5.15 4.68 4.88 5.22 4.80 5.06 5.25 4.73 5.84 5.21 5.30 5.62 5.59 5.17 5.38 4.82 5.33 Sp.-V/AQuan/1999/10/10:09:50 Page 324 324 / 13 S OLAR S YSTEM S MALL B ODIES Table 13.3. (Continued.) Comet Name 105P 22P 43P 87P 114P 94P 67P 21P 3D 44P 112P 75P 62P 18P 51P 49P 60P 65P 110P 19P 16P 86P 15P 84P 48P 69P 77P 33P 17P 113P 98P 108P 106P 102P 30P 4P 89P 47P 61P 91P 52P 97P 70P 39P 78P 50P 83P 80P 111P 24P 14P 58P 36P 74P 115P 32P 59P 72P 93P 64P 42P 40P 68P 34P 85P 56P 53P Singer Brewster Kopff Wolf–Harrington Bus Wiseman–Skiff Russell 4 Churyumov–Gerasimenko Giacobini–Zinner Biela Reinmuth 2 Urata–Niijima Kohoutek Tsuchinshan 1 Perrine–Mrkos Harrington Arend–Rigaux Tsuchinshan 2 Gunn Hartley 3 Borrelly Brooks 2 Wild 3 Finlay Giclas Johnson Taylor Longmore Daniel Holmes Spitaler Takamizawa Ciffreo Schuster Shoemaker 1 Reinmuth 1 Faye Russell 2 Ashbrook–Jackson Shajn–Schaldach Russell 3 Harrington–Abell Metcalf–Brewington Kojima Oterma Gehrels 2 Arend Gehrels 3 Peters–Hartley Helin–Roman–Crockett Schaumasse Wolf Jackson–Neujmin Whipple Smirnova–Chernykh Maury Comas Sola Kearns–Kwee Denning–Fujikawa Lovas 1 Swift–Gehrels Neujmin 3 Vaisala 1 Klemola Gale Boethin Slaughter–Burnham Van Biesbroeck Perihelion Orbital date period Perihelion Orbital Longitude Longitude Orbital Apehelion (Year) (yrs) (AU) eccentricity of perihelion of asc. node inclination (AU) 1992.8 1990.1 1991.3 1994.5 1993.4 1990.5 1989.5 1992.3 1852.7 1994.5 1993.5 1987.8 1991.7 1968.8 1994.6 1991.8 1992.4 1989.7 1994.4 1988.0 1994.7 1994.6 1988.4 1992.7 1990.9 1991.0 1988.8 1992.7 1993.3 1994.1 1991.6 1993.1 1992.7 1992.0 1988.4 1991.9 1994.8 1993.5 1993.9 1990.4 1991.5 1991.0 1994.1 1958.4 1989.8 1991.4 1993.6 1990.5 1996.8 1993.2 1992.7 1987.4 1995.0 1992.6 1994.2 1987.6 1990.9 1978.8 1989.8 1991.2 1993.9 1993.3 1987.6 1938.5 1986.0 1993.5 1991.3 6.43 6.46 6.51 6.52 6.53 6.57 6.59 6.61 6.62 6.64 6.64 6.65 6.65 6.72 6.78 6.82 6.82 6.84 6.84 6.86 6.89 6.91 6.95 6.96 6.97 6.97 7.00 7.06 7.09 7.10 7.22 7.23 7.26 7.26 7.29 7.34 7.38 7.49 7.49 7.50 7.59 7.76 7.85 7.88 7.94 7.99 8.11 8.13 8.16 8.22 8.25 8.42 8.53 8.57 8.74 8.78 8.96 9.01 9.09 9.21 10.6 10.8 10.9 11.0 11.2 11.6 12.4 2.03 1.59 1.61 2.18 1.51 2.22 1.30 1.03 0.86 1.89 1.46 1.78 1.50 1.27 1.57 1.44 1.78 2.47 2.46 1.36 1.84 2.30 1.09 1.85 2.31 1.95 2.41 1.65 2.18 2.13 1.59 1.71 1.54 1.99 1.87 1.59 2.28 2.32 2.35 2.52 1.77 1.59 2.40 3.39 2.35 1.85 3.43 1.63 3.49 1.20 2.43 1.44 3.09 3.57 2.03 1.83 2.22 0.78 1.68 1.36 2.00 1.78 1.77 1.18 1.11 2.54 2.40 0.414 0.543 0.539 0.375 0.568 0.366 0.630 0.706 0.756 0.464 0.588 0.498 0.576 0.643 0.561 0.600 0.504 0.314 0.317 0.624 0.491 0.366 0.699 0.493 0.366 0.466 0.341 0.552 0.410 0.422 0.575 0.543 0.590 0.470 0.503 0.578 0.400 0.395 0.388 0.343 0.540 0.594 0.393 0.144 0.410 0.537 0.151 0.598 0.139 0.705 0.406 0.653 0.259 0.147 0.522 0.570 0.487 0.820 0.614 0.692 0.586 0.635 0.640 0.761 0.778 0.504 0.553 46.6 162.9 187.0 24.4 171.9 93.0 11.4 172.5 223.2 45.9 21.5 175.7 22.8 166.0 233.5 329.1 203.1 197.0 168.4 353.3 198.0 179.3 322.3 276.5 208.3 355.6 195.7 11.0 23.2 50.2 147.7 358.0 355.7 18.8 13.1 203.9 249.2 348.7 216.6 353.2 138.7 208.0 348.5 354.9 183.5 47.1 231.6 338.3 10.2 57.5 162.3 196.6 201.9 89.0 119.8 45.5 131.8 334.1 73.6 84.8 147.0 47.4 154.5 209.2 11.7 44.1 134.2 192.6 120.9 254.9 182.2 271.7 71.0 51.0 195.4 248.0 296.2 31.9 269.7 96.8 240.9 119.3 122.1 288.3 68.5 287.9 75.4 176.9 72.6 42.4 112.5 117.3 108.9 15.7 69.1 328.0 14.5 124.9 53.7 50.6 340.0 119.8 199.6 42.5 2.7 166.9 248.7 337.3 187.8 154.8 155.8 216.3 356.2 243.3 260.1 92.0 81.1 204.1 163.8 182.5 77.5 176.8 61.1 315.8 41.6 342.4 314.4 150.4 135.1 176.5 67.9 26.5 346.4 149.1 9.2 4.7 18.5 2.6 18.2 6.2 7.1 31.8 12.5 7.0 24.2 5.9 10.5 17.8 8.7 17.9 6.7 10.4 11.7 30.3 5.5 15.5 3.7 7.3 13.7 20.6 24.4 20.1 19.2 5.8 9.5 13.1 20.1 26.2 8.1 9.1 12.0 12.5 6.1 14.1 10.2 13.0 0.9 4.0 6.7 19.9 1.1 29.8 4.2 11.8 27.5 14.1 9.9 6.6 11.7 13.0 9.0 8.7 12.2 9.3 4.0 11.6 10.9 11.7 5.8 8.2 6.6 4.89 5.35 5.37 4.80 5.47 4.79 5.73 6.01 6.19 5.17 5.61 5.30 5.57 5.85 5.59 5.75 5.41 4.74 4.75 5.86 5.40 4.96 6.19 5.44 4.98 5.35 4.91 5.71 5.21 5.25 5.88 5.77 5.96 5.51 5.65 5.96 5.31 5.34 5.31 5.15 5.95 6.25 5.50 4.53 5.61 6.14 4.64 6.46 4.61 6.94 5.74 6.84 5.25 4.81 6.46 6.68 6.42 7.88 7.03 7.43 7.67 7.98 8.09 8.70 8.91 7.70 8.33 Sp.-V/AQuan/1999/10/10:09:50 Page 325 13.2 C OMETS / 325 Table 13.3. (Continued.) Perihelion Orbital date period Perihelion Orbital Longitude Longitude Orbital Apehelion (Year) (yrs) (AU) eccentricity of perihelion of asc. node inclination (AU) Comet Name 92P 63P 8P 101P 29P 66P 99P 90P 28P 27P 55P 38P 95Pb 20D 13P 23P 121P 1P 109P 35P Sanguin Wild 1 Tuttle Chernykh Schwassmann–Wachmann 1 du Toit Kowal 1 Gehrels 1 Neujmin 1 Crommelin Tempel–Tuttle Stephan–Oterma Chiron Westphal Olbers Brorsen–Metcalf Pons–Brooks Halley Swift–Tuttle Herschel–Rigollet 1990.2 1973.5 1994.5 1992.1 1989.8 1974.2 1992.2 1987.6 1984.8 1984.1 1965.3 1980.9 1996.1 1913.9 1956.5 1989.7 1954.4 1986.1 1993.0 1939.6 12.5 13.3 13.5 14.0 14.9 15.0 15.0 15.1 18.2 27.4 32.9 37.7 50.7 61.9 69.6 70.5 70.9 76.0 135. 155. 1.81 1.98 1.00 2.36 5.77 1.29 4.67 2.99 1.55 0.74 0.98 1.57 8.45 1.25 1.18 0.48 0.77 0.59 0.96 0.75 0.663 0.647 0.824 0.594 0.045 0.787 0.233 0.510 0.776 0.919 0.904 0.860 0.383 0.920 0.930 0.972 0.955 0.967 0.964 0.974 162.8 167.9 206.7 263.2 49.9 257.2 174.5 28.5 346.8 195.8 172.6 358.2 339.6 57.1 64.6 129.6 199.0 111.9 153.0 29.3 182.5 358.9 270.5 130.4 312.8 22.8 28.8 13.6 347.0 250.9 235.1 79.2 209.4 348.0 86.1 311.6 255.9 58.9 139.4 356.0 18.7 19.9 54.7 5.1 9.4 18.7 4.4 9.6 14.2 29.1 162.7 18.0 6.9 40.9 44.6 19.3 74.2 162.2 113.4 64.2 8.96 9.24 10.3 9.24 6.31 10.9 7.50 9.21 12.3 17.4 19.6 20.9 19.0 30.0 32.6 33.7 33.5 35.3 51.7 56.9 Notes a Object 107P, Wilson–Harrington is also catalogued as minor planet 4015. b Object 95P, Chiron is also catalogued as minor planet 2060. Reference 1. Marsden, B.G., & Williams, G.V. 1995, Catalogue of Cometary Orbits, 10th ed., IAU Central Bureau for Astronomical Telegrams and Minor Planet Center Table 13.4. Short-period comets having one known apparition [1]. Comet Name D/1766 G1 D/1819 W1 P/1994 P1 D/1884 O1 D/1886 K1 P/1991 R2 D/1770 L1 P/1991 F1 D/1783 W1 D/1978 R1 P/1990 R2 D/1978 C2 D/1952 B1 P/1991 C2 D/1892 T1 P/1990 R1 D/1896 R2 D/1918 W1 P/1991 S1 P/1991 V2 P/1986 W1 D/1895 Q1 P/1991 C1 D/1984 H1 P/1994 A1 P/1993 X1 D/1894 F1 P/1992 G2 D/1977 C1 P/1991 V1 Helfenzrieder Blanpain Machholz 2 Barnard 1 Brooks 1 Spacewatch Lexell Mrkos Pigott Haneda–Campos Holt–Olmstead Tritton Harrington–Wilson Shoemaker–Levy 4 Barnard 3 Mueller 2 Giacobini Schorr McNaught–Hughes Shoemaker–Levy 7 Lovas 2 Swift Shoemaker–Levy 3 Kowal–Mrkos Kushida Kushida–Muramatsu Denning Shoemaker–Levy 8 Skiff–Kosai Shoemaker–Levy 6 Perihelion date (Year) 1766.3 1819.9 1994.7 1884.6 1886.4 1991.0 1770.6 1991.2 1783.9 1978.8 1990.8 1977.8 1951.8 1990.5 1892.9 1990.9 1896.8 1918.8 1991.4 1991.8 1986.7 1895.6 1990.9 1984.4 1994.0 1993.9 1894.1 1992.5 1976.6 1991.8 Orbital period Perihelion (yrs) (AU) 4.35 5.10 5.23 5.38 5.44 5.59 5.60 5.64 5.89 5.97 6.16 6.35 6.36 6.51 6.52 6.56 6.65 6.67 6.70 6.72 6.75 7.20 7.25 7.32 7.36 7.40 7.42 7.47 7.54 7.57 0.41 0.89 0.75 1.28 1.33 1.54 0.67 1.41 1.46 1.10 2.04 1.44 1.66 2.02 1.43 2.08 1.46 1.88 2.12 1.63 1.46 1.30 2.81 1.95 1.37 2.75 1.15 2.71 2.85 1.13 Orbital eccentricity Longitude of perihelion 0.848 0.699 0.750 0.583 0.571 0.511 0.786 0.555 0.552 0.665 0.392 0.580 0.515 0.421 0.590 0.406 0.588 0.469 0.404 0.542 0.592 0.652 0.250 0.483 0.639 0.277 0.698 0.291 0.259 0.706 178.7 350.3 149.3 301.1 176.9 87.1 225.0 180.4 354.7 240.5 2.6 147.7 343.0 302.2 170.0 171.0 140.5 279.3 223.2 91.7 71.3 167.8 181.7 338.0 214.5 348.3 46.4 22.4 26.6 333.1 Longitude of asc. node 76.3 79.8 246.2 6.8 55.1 153.4 134.5 1.7 58.7 132.2 15.3 300.8 128.5 152.1 208.0 218.9 194.9 119.0 90.2 313.0 283.8 171.8 303.8 249.3 245.9 93.7 85.7 213.4 80.8 37.9 Orbital Aphelion inclination (AU) 7.9 9.1 12.8 5.5 12.7 10.0 1.6 31.5 45.1 5.9 14.9 7.0 16.3 8.5 31.3 7.1 11.4 5.6 7.3 10.3 1.5 3.0 5.0 3.0 4.2 2.4 5.5 6.1 3.2 16.9 4.92 5.03 5.27 4.86 4.86 4.76 5.63 4.92 5.06 5.48 4.68 5.42 5.20 4.95 5.55 4.93 5.62 5.21 4.99 5.49 5.69 6.16 4.68 5.59 6.20 4.85 6.46 4.93 4.84 6.58 Sp.-V/AQuan/1999/10/10:09:50 Page 326 326 / 13 S OLAR S YSTEM S MALL B ODIES Table 13.4. (Continued.) Comet Name P/1989 E3 D/1984 W1 P/1989 E2 P/1989 U1 P/1987 U2 P/1990 S1 P/1991 T1 P/1989 E1 P/1992 G3 P/1990 UL3 P/1993 K2 P/1989 T2 P/1987 U1 P/1992 Q1 P/1988 V1 P/1983 M1 P/1993 W1 P/1987 G3 P/1994 J3 D/1960 S1 P/1983 C1 P/1983 J3 P/1986 A1 P/1990 V1 D/1993 F2 P/1994 X1 P/1994 N2 P/1983 V1 P/1991 L3 D/1827 M1 D/1921 H1 D/1846 D1 D/1989 A3 D/1942 EA D/1889 M1 D/1917 F1 D/1984 A1 D/1937 D1 West–Hartley Shoemaker 2 Shoemaker–Holt 2 Helin–Roman–Alu 2 Mueller 1 Mueller 3 Shoemaker–Levy 5 Parker–Hartley Mueller 4 Shoemaker–Levy 2 Helin–Lawrence Helin–Roman–Alu 1 Shoemaker–Holt 1 Brewington Ge–Wang IRAS Mueller 5 Helin Shoemaker 4 van Houten Bowell–Skiff Kowal–Vavrova Shoemaker 3 Shoemaker–Levy 1 Shoemaker–Levy 9 McNaught–Russell McNaught–Hartley Hartley–IRAS Levy Pons–Gambart Dubiago de Vico Bradfield 2 Vaisala 2 Barnard 2 Mellish Bradfield 1 Wilk Perihelion date (Year) 1988.8 1984.7 1988.6 1989.8 1987.9 1990.6 1991.9 1987.6 1992.1 1990.7 1993.5 1987.8 1988.4 1992.4 1988.4 1983.6 1994.7 1987.6 1994.8 1961.3 1983.2 1983.2 1986.0 1990.7 1994.2 1994.7 1994.9 1984.0 1991.5 1827.4 1921.3 1846.2 1988.9 1942.1 1889.5 1917.3 1984.0 1937.1 Orbital period Perihelion (yrs) (AU) 7.59 7.84 8.01 8.19 8.45 8.65 8.66 8.85 8.97 9.28 9.45 9.50 9.55 10.7 11.3 13.2 13.8 14.5 14.6 15.6 15.7 15.9 16.9 17.3 17.7 18.4 20.8 21.5 51.3 57.5 62.3 76.3 81.9 85.4 145. 145. 151. 187. 2.13 1.32 2.65 1.93 2.75 3.00 1.98 3.03 2.64 1.84 3.09 3.71 3.05 1.60 2.52 1.70 4.25 2.57 2.94 3.96 1.95 2.61 1.79 1.52 5.38 1.28 2.49 1.28 0.98 0.81 1.12 0.66 0.42 1.29 1.11 0.19 1.36 0.62 Orbital eccentricity Longitude of perihelion 0.449 0.666 0.339 0.525 0.338 0.288 0.529 0.292 0.389 0.582 0.309 0.174 0.322 0.671 0.501 0.696 0.261 0.567 0.507 0.367 0.689 0.588 0.728 0.772 0.207 0.817 0.671 0.834 0.929 0.946 0.929 0.963 0.978 0.934 0.960 0.993 0.952 0.981 102.7 317.6 5.9 200.7 30.3 226.0 6.0 181.3 43.6 140.1 163.7 216.3 210.4 47.8 176.1 356.9 30.0 216.3 192.2 14.4 169.0 19.5 14.9 310.6 355.0 171.1 312.2 47.1 41.5 19.2 97.4 12.9 194.7 335.2 60.2 121.3 219.2 31.5 Longitude of asc. node 46.8 55.5 99.8 203.0 4.6 138.0 29.7 244.3 145.4 236.0 92.0 73.5 214.6 343.7 180.5 357.9 100.7 143.7 92.9 23.6 346.3 202.6 97.3 52.0 220.9 218.0 36.0 1.5 329.4 320.0 67.2 79.7 28.4 172.3 272.6 88.7 356.9 58.3 Orbital Aphelion inclination (AU) 15.4 21.6 17.7 7.4 8.8 9.4 11.8 5.2 29.8 4.6 9.9 9.8 4.4 18.1 11.7 46.2 16.5 4.7 24.8 6.7 3.8 4.3 6.4 24.3 5.8 29.1 17.6 95.7 19.2 136.5 22.3 85.1 83.1 38.0 31.2 32.7 51.8 26.0 5.59 6.57 5.36 6.19 5.55 5.43 6.45 5.53 6.00 6.99 5.85 5.27 5.95 8.12 7.58 9.45 7.24 9.30 8.99 8.54 10.6 10.1 11.4 11.8 8.20 12.70 12.60 14.2 26.6 29.0 30.3 35.3 37.3 37.5 54.2 55.1 55.5 64.9 Reference 1. Marsden, B.G., & Williams, G.V. 1995, Catalogue of Cometary Orbits, 10th ed., IAU Central Bureau for Astronomical Telegrams and Minor Planet Center Table 13.5. Selected long-period comets [1, 2]. Comet Name Designation Discovery date (Year) Perihelion (AU) Orbital eccentricity Orbital inclination C/1843 D1 C/1858 L1 C/1882 R1 C/1908 R1 C/1956 R1 C/1965 S1 C/1969 Y1 C/1973 E1 C/1975 V1 C/1980 E1 C/1983 H1 C/1988 F1 Great March Comet of 1843 Donati Great September Comet of 1882 Morehouse Arend–Roland Ikeya–Seki Bennett Kohoutek West Bowell IRAS–Araki–Alcock Levy 1843 I 1858 VI 1882 II 1908 III 1957 III 1965 VIII 1970 II 1973 XII 1976 VI 1982 I 1983 VII 1987 XXX 1843 1858 1882 1908 1956 1965 1970 1973 1976 1980 1983 1988 0.005 0.58 0.008 0.95 0.32 0.008 0.54 0.14 0.20 3.36 0.99 1.17 1.000 0.996 1.000 1.001 1.000 1.000 0.996 1.000 1.000 1.057 0.990 0.998 144.3 117.0 142.0 140.2 119.9 141.9 90.0 14.3 43.1 1.7 73.3 62.8 Sp.-V/AQuan/1999/10/10:09:50 Page 327 13.2 C OMETS / 327 Table 13.5. (Continued.) Comet Name Designation C/1988 J1 C/1990 K1 C/1991 C3 C/1992 J2 C/1995 O1 C/1996 B2 Shoemaker–Holt Levy McNaught–Russell Bradfield Hale–Bopp Hyakutake 1988 III 1990 XX 1990 XIX 1992 XIII — — Discovery date (Year) Perihelion (AU) Orbital eccentricity Orbital inclination 1988 1990 1991 1992 1995 1996 1.17 0.94 4.78 0.59 0.91 0.23 0.998 1.000 1.002 1.000 0.996 1.0 62.8 131.6 113.4 158.6 89.4 124.9 References 1. Marsden, B.G., & Williams, G.V. 1995, Catalogue of Cometary Orbits, 10th ed., IAU Central Bureau for Astronomical Telegrams and Minor Planets 2. Beatty, J.K., & Chaikin, A., editors. 1990, in The New Solar System (Sky Publishing, Cambridge), p. 292 Table 13.6. Outer solar system objects of probable cometary nature.a,b,c Provisional designation Perihelion (AU) Aphelion (AU) a e i H D (km) 1977 UB 1992 AD 1993 HA2 1994 TA 1995 DW2 1995 GO 1997 CU26 8.45 8.67 11.8 11.7 18.9 6.84 13.1 18.8 31.8 37.4 22.0 31.0 29.3 18.4 13.648 20.226 24.594 16.843 24.916 18.069 15.712 0.381 0.571 0.519 0.304 0.243 0.622 0.169 6.9 24.7 15.7 5.4 4.2 17.6 23.4 6.5 7.0 9.6 11.5 9.0 9.0 6.0 180 150 75 25 100 100 300 Trans-Neptunian Objects 1992 QB1 1993 FW 1993 RO 1993 RP 1993 SB 1993 SC 1994 ES2 1994 EV3 1994 GV9 1994 JQ1 1994 JR1 1994 JS 1994 JV 1994 TB 1994 TG 1994 TG2 1994 TH 1994 VK8 1995 DA2 1995 DB2 1995 DC2 1995 FB21 1995 GA7 1995 GJ 1995 GY7 1995 HM5 1995 KJ1 1995 KK1 40.9 41.5 31.5 34.9 26.9 32.3 40.3 40.8 41.0 41.8 34.8 33.0 35.3 27.1 42.3 42.4 40.9 41.7 33.7 40.1 40.8 42.4 34.8 39.0 41.3 29.5 43.5 32.0 47.7 45.5 47.7 43.8 52.4 47.5 50.8 44.7 46.0 46.1 44.1 51.6 35.3 52.6 42.3 42.4 40.9 44.0 38.7 52.5 46.9 42.4 44.2 46.8 41.3 49.3 43.5 47.0 44.298 43.522 39.608 39.329 39.633 39.880 45.530 42.763 43.495 43.959 39.434 42.289 35.251 39.845 42.254 42.448 40.940 42.830 36.181 46.290 43.850 42.426 39.455 42.907 41.347 39.369 43.468 39.475 0.077 0.045 0.205 0.114 0.321 0.191 0.115 0.046 0.058 0.049 0.119 0.219 0 0.321 0 0 0 0.027 0.069 0.134 0.070 0 0.119 0.091 0 0.251 0 0.190 2.2 7.8 3.7 2.6 1.9 5.1 1.1 1.7 0.6 3.8 3.8 14.1 18.1 12.1 6.8 2.2 16.1 1.5 6.6 4.1 2.3 0.7 3.5 22.9 0.9 4.8 2.7 9.3 7.0 7.0 8.0 9.0 8.0 7.0 7.5 7.0 7.0 7.0 7.5 8.0 7.0 7.0 7.0 7.0 7.0 6.5 8.0 7.5 7.0 7.5 7.5 7.0 7.5 8.0 6.5 8.5 250 250 150 100 150 250 200 250 250 250 200 150 250 250 250 250 250 300 150 200 250 200 200 250 200 150 300 125 Number Centaurs 2060 5145 7066 Name Chiron Pholus Nessus Sp.-V/AQuan/1999/10/10:09:50 Page 328 328 / 13 S OLAR S YSTEM S MALL B ODIES Table 13.6. (Continued.) Number Name Provisional designation Perihelion (AU) Aphelion (AU) a e i H D (km) 1995 QY9 1995 QZ9 1995 WY2 1995 YY3 1996 KV1 1996 KW1 1996 KX1 1996 KY1 1996 RQ20 1996 RR20 1996 SZ4 1996 TK66 1996 TL66 1996 TO66 1996 TP66 1996 TQ66 1996 TR66 1996 TS66 1997 CQ29 1997 CR29 1997 CS29 1997 CT29 1997 CU29 1997 CV29 1997 CW29 1997 QH4 1997 QJ4 1997 RT5 1997 RX9 1997 RY6 1997 SZ10 1997 TX8 29.2 33.7 40.6 30.7 41.2 46.6 35.7 35.7 39.2 32.8 29.6 42.9 35.1 38.1 26.4 34.6 33.2 38.5 41.2 42.0 43.4 42.3 41.9 40.0 36.3 41.3 34.8 42.2 42.1 41.4 31.6 32.0 51.0 45.8 52.3 48.1 44.7 46.6 43.4 43.3 49.4 47.1 50.1 43.2 134.0 49.3 53.0 44.7 52.1 49.7 47.7 42.0 44.0 44.9 44.8 48.5 42.5 47.4 44.3 42.2 42.1 41.4 47.6 46.6 40.115 39.769 46.432 39.389 42.966 46.602 39.543 39.517 44.291 39.936 39.817 43.035 84.457 43.700 39.703 39.667 42.636 44.100 44.412 41.996 43.703 43.580 43.331 44.227 39.375 44.359 39.568 42.239 42.135 41.360 39.584 39.312 0.271 0.153 0.126 0.221 0.041 0 0.097 0.096 0.115 0.180 0.257 0.004 0.585 0.128 0.335 0.127 0.222 0.126 0.073 0 0.006 0.030 0.034 0.096 0.079 0.070 0.121 0 0 0 0.201 0.186 4.8 19.5 1.7 0.4 8.4 5.5 1.5 30.9 31.6 5.3 4.7 3.3 24.0 27.3 5.7 14.6 12.3 7.4 2.9 20.2 2.3 1.0 1.5 7.8 19.0 12.8 16.0 12.6 29.8 12.4 12.7 9.0 7.5 7.5 7.0 8.5 7.0 7.0 8.5 8.0 7.0 7.0 8.0 7.0 5.0 4.5 6.5 6.5 7.5 6.0 6.5 6.5 5.0 5.0 6.5 7.0 6.5 7.0 7.5 7.0 8.0 7.5 8.5 8.5 200 200 250 125 250 250 125 150 250 250 150 250 600 750 300 300 200 400 300 300 600 600 300 250 300 250 200 250 150 200 125 125 Notes a IAU Minor Planet Center web page as of 1998, January 1. URL http://cfa.www.harvard.edu/cfa/ps/mpc.html. b For explanation of symbols, see section on Minor Planets. c Object 2060 Chiron is known to exhibit cometary activity, e.g., IAUC 4770 and is catalogued as comet 95P. 13.3 ZODIACAL LIGHT The zodiacal light is due to sunlight scattered by the interplanetary dust cloud. Zodiacal light brightness is a function of viewing direction, wavelength, heliocentric distance (r) and position of the observer relative to the dust symmetry plane. The brightness does not vary with the solar cycle [9, 10]. A comprehensive review is given in [11]. Table 13.7 presents the surface brightness (radiance) and degree of linear polarization of the zodiacal light at λ5000 Å for an observer at r = 1 AU in the dust symmetry plane as a function of helioecliptic longitude (λ − λ ) and latitude (β) [11–15]. Sp.-V/AQuan/1999/10/10:09:50 Page 329 13.3 Z ODIACAL L IGHT / 329 Table 13.7. Zodiacal light brightness and polarization. β(◦ ) 15 20 25 30 45 60 75 0 2450 .08 1260 .10 770 .11 500 .12 215 .16 117 .19 78 .20 5 2300 .09 1200 .10 740 .11 490 .12 212 .16 117 .19 78 .20 3700 .11 1930 .11 1070 .12 675 .13 460 .14 206 .17 116 .19 78 .20 λ − λ (◦ ) 0 5 10 10 15 9000 .13 5300 .13 2690 .13 1450 .13 870 .13 590 .14 410 .15 196 .17 114 .19 78 .20 20 5000 .14 3500 .14 1880 .14 1100 .15 710 .15 495 .15 355 .15 185 .17 110 .19 77 .20 25 3000 .15 2210 .15 1350 .16 860 .16 585 .16 425 .16 320 .16 174 .18 106 .19 76 .20 30 1940 .16 1460 .16 955 .16 660 .16 480 .16 365 .17 285 .17 162 .18 102 .19 74 .20 35 1290 .17 990 .17 710 .17 530 .17 400 .17 310 .17 250 .17 151 .18 98 .20 73 .20 40 925 .17 735 .17 545 .17 415 .17 325 .18 264 .18 220 .18 140 .19 94 .20 72 .20 45 710 .18 570 .18 435 .18 345 .18 278 .18 228 .18 195 .18 130 .19 91 .20 70 .20 60 395 .19 345 .19 275 .19 228 .19 190 .19 163 .20 143 .20 105 .20 81 .20 67 .20 75 264 .18 248 .18 210 .18 177 .18 153 .18 134 .19 118 .19 91 .19 73 .19 64 .19 90 202 .16 196 .16 176 .16 151 .16 130 .16 115 .16 103 .17 81 .18 67 .18 62 .19 105 166 .12 164 .12 154 .12 133 .12 117 .13 104 .13 93 .14 75 .15 64 .17 60 .19 120 147 .08 145 .08 138 .09 120 .09 108 .09 98 .10 88 .11 70 .13 60 .15 58 .18 135 140 .05 139 .05 130 .05 115 .06 105 .06 95 .07 86 .08 70 .11 60 .14 57 .17 150 140 .02 139 .02 129 .02 116 .03 107 .03 99 .04 91 .05 75 .08 62 .12 56 .16 165 153 −.02 150 −.02 140 −.01 129 −.01 118 0 110 .02 102 .03 81 .07 64 .11 56 .16 180 180 0 166 −.02 152 −.03 139 −.02 127 −.01 116 0 105 .02 82 .06 65 .11 56 .16 Sp.-V/AQuan/1999/10/10:09:50 Page 330 330 / 13 S OLAR S YSTEM S MALL B ODIES The brightness is given in S10 (V), the equivalent number of tenth visual magnitude solar-type stars per square degree. One S10 (V) = 1.26 × 10−8 W m−2 sr−1 µm−1 at 5000 Å. The uncertainty in brightness and polarization is 10% in the bright regions, to 20% in the faint regions. Negative values mean that the direction of polarization lies in the scattering plane. The brightness at the ecliptic pole (β = 90◦ ) is 60 S10 (V) and the degree of linear polarization is 0.19 [11, 12]. The component of the solar corona due to scattering by interplanetary dust is known as the F corona. The brightness of the solar F corona in S10 (V) is given in Table 13.8 as a function of elongation () [16, 17], for the line of sight in the ecliptic plane (i = 0◦ ) and line of sight in a plane perpendicular to the ecliptic plane (i = 90◦ ). Table 13.8. Brightness of the solar F corona. i = 0◦ i = 90◦ 1◦ 2 5 10 3.9 × 106 8.6 × 105 1.2 × 105 2.4 × 104 2.6 × 106 4.3 × 105 4.8 × 104 8300 UBV colors of the zodiacal light are given by [15] IV = 1.14 − 5.5 × 10−4 , IB IB = 1.11 − 5.0 × 10−4 , IU where = solar elongation in degrees. An intensity ratio of 1.0 corresponds to solar color. The dependence of intensity on heliocentric distance for an observer at r AU (0.3 ≤ r ≤ 1.0) as measured from the Helios probe is [15] I (r ) = r −2.3 . I (1 AU) The dependence of polarization on heliocentric distance [15] can be approximated by P(r ) = r +0.3 . P(1 AU) For 1 < r < 3.3 AU, the I (r ) is given by I (r ) = r −2.5±0.5 , I (1 AU) as measured from Pioneer 10 [18]. The plane of symmetry of the zodiacal light deviates from the ecliptic by a few degrees, causing annual variations of 10%–20% (peak to peak) in the zodiacal light brightness as viewed from Earth. The symmetry plane differs in the inner and outer solar system; at r > 1 AU it is close to the invariant plane for r < 1 AU, i = 3◦.0 ± 0◦.3, for r ≥ 1 AU, i = 1◦.5 ± 0◦.4, = 87◦ ± 4◦ , [19], = 96◦ ± 15◦ , [9], where i = inclination to the ecliptic and = ecliptic longitude of the ascending node. Sp.-V/AQuan/1999/10/10:09:50 Page 331 13.4 I NFRARED Z ODIACAL E MISSION / 331 Figure 13.1. Zodiacal emission (radiance) as a function of solar elongation in the ecliptic plane [20]. : 10.9 µm; : 20.9 µm. 13.4 INFRARED ZODIACAL EMISSION At λ 3 µm, thermal emission from the interplanetary dust (zodiacal emission, or ZE) dominates over scattered light. The zodiacal emission at 1 AU has been measured from rockets [20], from the Infrared Astronomical Satellite (IRAS) [21, 22], and from the Diffuse Infrared Background Experiment (DIRBE) on the Cosmic Background Explorer (COBE) satellite [23]. The observed variation in the 10.9 µm and 20.9 µm radiance along the ecliptic plane is presented in Figure 13.1 [20]. Absolute calibration accuracy is approximately 20%. Model fits for assumed radial dust distribution ∝ r −1.3 and r −1.0 are shown by the dashed and solid lines. Figure 13.2 shows the variation of zodiacal emission with ecliptic latitude at or near = 90◦ (i.e., in a plane perpendicular to the Earth–Sun line) as determined from survey observations of the IRAS satellite between February and November 1983 [21, 24]. Only the smooth component of the ZE is shown, represented by the following slowly-varying empirical function [25]. To remove zodiacal dust bands [22], point sources, and the diffuse emission of the Galaxy, the function was fitted in a lower envelope sense to IRAS scans that extended nearly from one ecliptic pole to the other: I (β) = I0 − δ I {1 − δβ | cosec(β) | [1 − exp(−β/δβ − (β/δβ)2 /3)]}, where I (β) = brightness at ecliptic latitude β, β = geocentric ecliptic latitude, I0 = peak brightness, δ I = parameter with units of brightness, and δβ = angle parameter characterizing the width of the brightness distribution. The parameter values shown in Table 13.9 represent an annual average of the ZE at = 90◦ . The position of peak emission deviates sinusoidally from the ecliptic plane by about two degrees on Sp.-V/AQuan/1999/10/10:09:50 Page 332 332 / 13 S OLAR S YSTEM S MALL B ODIES Figure 13.2. Intensity of the smooth component of the zodiacal emission as a function of the ecliptic latitude at solar elongation 90 ◦ : annual average from IRAS data [25]. a yearly cycle owing to the Earth’s orbital motion in a plane inclined with respect to the approximate symmetry plane of the interplanetary dust; the peak brightness of the ZE near the ecliptic plane, I0 , and the ecliptic pole brightness, given by I0 − δ I (1 − δβ), similarly vary modestly on an annual cycle [25]. Table 13.9. Empirical function parameters for the ZE at = 90◦ . Wavelength Fitted parameter 12 µm 25 µm 60 µm I0 (MJy sr−1 ) δ I (MJy sr−1 ) δβ (degrees) 37 34 15.6 77 70 14.0 31 29 12.0 At 12 and 25 µm the diffuse infrared emission of the sky is dominated by zodiacal emission; at 60 µm, the ZE becomes less prominent, and by 100 µm emission from the galactic plane dominates the appearance of the sky, and the ZE is too weak compared with emission from the Galaxy to permit reliable separation by this method. A linear transformation converts the IRAS values in Table 13.9 and Figure 13.2 to the somewhat different DIRBE calibration to an rms accuracy of several percent [26]. (Unlike IRAS, DIRBE has an instrumentally established zero point, an ability to measure electrical and radiative offsets, and superior stray light rejection.) The transformation is given as (DIRBE value) = Gain × (IRAS value) + Offset, where, at 12, 25, and 60 µm, respectively, Gain = 1.06, 1.01, and 0.87, and Offset = −0.48, −1.32, and 0.13 MJy sr−1 . Sp.-V/AQuan/1999/10/10:09:50 Page 333 13.5 M ETEOROIDS AND I NTERPLANETARY D UST / 333 13.5 METEOROIDS AND INTERPLANETARY DUST This section deals with the characteristics of meteoroids and interplanetary dust as determined from studies of their ablation or collection in the Earth’s atmosphere, and from detections of impacts on spacecraft. The remote sensing of the space dust population through observations of the zodiacal light, or infrared studies such as from IRAS, COBE, ISO, etc., are covered in the preceding section. Solid particles in space smaller than about 10 m in size are termed meteoroids, larger bodies being asteroids. Meteoroids produce meteors (synonym shooting star) when they enter the atmosphere. The term “meteor” encompasses the atmospheric phenomena resulting (optical emission, train of ionization, etc.). Dependent upon composition, entry angle, speed, and density, particles smaller than about 100 µm in size do not ablate, but remain intact and gradually settle to the Earth’s surface. These particles are termed interplanetary dust. Such a size limit is also convenient because the majority of the zodiacal light is the result of scattering by particles in the 10–100 µm range. The absolute visual magnitude of a meteor (M) is the observed magnitude corrected to a standard height of 100 km at the observer’s zenith. Meteor activity (i.e., detection rate) is normally expressed in terms of the zenithal hourly rate. Sporadic (nonshower) activity is of the order of 5–10 per hour to M = 6.5, although there is a seasonal variation which depends upon the solar longitude and the observer’s latitude. Meteor shower activity may be detectable at rates as low as a few per hour, although most well-known showers have zenithal rates of order 20–50 per hour. The prominent meteor showers, occurring when the Earth passes through a meteoroid stream, are listed in Tables 13.10 and 13.11. Every so often an exceptional shower will occur, with rates up to many thousands per hour being seen. At the time of writing the next such events, termed meteor storms, are anticipated in 1998 and/or 1999 November when the Leonid storm is due. For a more extensive discussion of all of the above, see [27]. Table 13.10. Principal meteor showers.a Radiant Shower nameb Quadrantids Lyridsg η Aquarids Arietidsh ζ Perseidsh β Tauridsh α Capricornids S δ Aquarids Perseidsi κ Cygnids S Taurids N Taurids Orionids Draconids j Leonidsk Geminids Ursidsl Diurnal drift Activity period Solar long.c RA Dec RA Dec Local time of transit Vgd re Peak ZHR Number density f Jan 01–05 Apr 16–25 Apr 19–May 28 May 29–Jun 19 Jun 01–17 Jun 07–Jul 07 Jul 03–Aug 19 Jul 15–Aug 28 Jul 17–Aug 24 Aug 03–31 Sep 15–Nov 25 Sep 15–Nov 25 Oct 02–Nov 07 Oct 06–10 Nov 14–21 Dec 07–17 Dec 17–26 283.3 32.1 43.1 77 77 97 127 126 139.9 146 221 231 208 197.0 235.2 262.0 270.9 230 271 336 44 62 86 307 339 46 286 50 60 95 262 152 112 217 +49 +34 −02 +23 +23 +19 −10 −16 +58 +59 +14 +23 +16 +54 +22 +33 +75 +0.4 +1.1 +0.9 +0.7 +1.1 +0.8 +0.9 +0.7 +1.3 +0.3 +0.8 +0.9 +0.7 +0.4 +0.7 +1.0 0 −0.2 0.0 +0.4 +0.6 +0.4 +0.4 +0.3 +0.2 +0.1 +0.1 +0.2 +0.2 +0.1 0 −0.4 −0.1 0 08.5 04.0 07.6 09.9 11.0 11.2 00.0 02.2 05.7 21.3 00.5 00.5 04.3 16.1 06.4 01.9 08.4 39 48 65 35 25 28 20 39 58 22 25 27 65 17 70 33 31 2.2 2.9 2.7 — — — 2.5 3.2 2.6 3.0 2.3 2.3 2.9 2.6 2.5 2.6 3.0 120 20 50 — — — 10 20 100 5 10 8 25 — 25 110 20 80 8–10 4–5 — — — 150 20–25 10–20 125 50 30 2 — 1–2 290 80 Notes a Courtesy J. Rendtel, M. Gyssens, P. Roggemans, and P. Brown, International Meteor Organization. All angles are in degrees, and referred to the 1950.0 equinox. b See Table 13.11 for parent comet identifications. c The solar longitude is that at the time of peak shower activity. d V is the geocentric velocity of the meteoroid; the velocity at the top of the atmosphere after acceleration by the Earth is g given by V 2 = Vg2 + 125 (in km/s). e The mass index s is related to the population index r by s = 1 + 2.3 log r (see [1] for details). 10 f The number density gives the number of particles of m > 10−3 g per 109 km3 [2]. Sp.-V/AQuan/1999/10/10:09:50 Page 334 334 / 13 S OLAR S YSTEM S MALL B ODIES g ZHR to 90. h Daytime showers. i ZHR > 200 in 1992–94 near parent comet return. j Also known as the Giacobinids; periodic shower with ZHR > 200 occurring near alternate parent comet returns. k Meteor storms anticipated in 1998 and 1999 near parent comet return with ZHR > 1000. l ZHR to 50. References 1. Hughes, D.W. 1978, in Cosmic Dust, edited by J.A.M. McDonnell (Wiley, New York), p. 123 2. Hughes, D.W. 1987, A&A, 187, 879 Table 13.11. Orbits of meteoroid streams [1]. Shower name (AU) eb qc (AU) ωd (◦ ) e (◦ ) if (◦ ) Quadrantids Lyrids η Aquarids Arietids ζ Perseids β Taurids α Capricornids S δ Aquarids Perseids κ Cygnids S Taurids N Taurids Orionids Draconids Leonids Geminids Ursids 3.08 28 13 1.6 1.6 2.2 2.53 2.86 28 3.09 1.93 2.59 15 3.51 11.5 1.36 5.70 0.683 0.968 0.958 0.94 0.79 0.85 0.77 0.976 0.965 0.68 0.806 0.861 0.962 0.717 0.915 0.896 0.85 0.977 0.919 0.560 0.09 0.34 0.34 0.59 0.069 0.953 0.99 0.375 0.359 0.571 0.996 0.985 0.142 0.939 170 214 95 29 59 246 269 153 152 194 113 292 83 172 173 324 206 283.3 32.1 43.1 77 77 277 127 306 139.9 146 41 231 28 197.0 235.2 262.0 270.9 72.5 79 163.5 21 0 6 7 27.2 113.8 38 5.2 2.4 163.9 30.7 162.6 23.6 53.6 aa Parent objects 96P/Machholz 1 & 1491 I? C/Thatcher (1861 G1) 1P/Halley 96P/Machholz 1 & 1491 I? 2P/Encke & various asteroids — — 96P/Machholz 1 & 1491 I? 109P/Swift–Tuttle — 2P/Encke & various asteroids 1P/Halley 21P/Giacobini–Zinner 55P/Tempel–Tuttle (3200) Phaethon 8P/Tuttle Notes a a is the semimajor axis. b e is the orbital eccentricity. c q is the perihelion distance, q = a(1 − e). d ω is the argument of perihelion. e is the longitude of the ascending node (equinox 1950.0). f i is the inclination to the ecliptic. Reference 1. Cook, A.F. 1973, in Evolutionary and Physical Properties of Meteoroids, NASA SP-319, edited by C.L. Hemenway and A.F. Cook (NASA, Washington, DC) The above discussion pertains to visual meteors, mostly produced by meteoroids larger than ∼ 1 cm in size. Fainter meteors may be detected through HF/VHF radio wave scattering from their trains of ionization [27, 28]. Such meteors are due to smaller meteoroids, typically 100 µm–1 mm in size. The limiting magnitude is about +15 (corresponding to the micrometeor limit at ∼ 100 µm); radars sensitive to such magnitudes may detect meteors at rates of one per few seconds, and especially powerful radars covering large areas at rates exceeding one per second [29]. It was thought for some years (see [27]) that the deficit of meteors detected in the radar regime (masses 10−6 –10−2 g) was due to the reduced ionizing efficiency of low-speed meteoroids (that efficiency varies as ∼ V 3.5−4.0 , V being the top-of-the-atmosphere velocity), but it is now known that the finite “echo ceiling” [28] of HF/VHF radars has led to only those ablating lower than ∼ 105 km being detected, meaning that the majority ablating higher have been missed, but are detectable using MF radars [29, 30]. Sp.-V/AQuan/1999/10/10:09:50 Page 335 13.5 M ETEOROIDS AND I NTERPLANETARY D UST / 335 The magnitude of a meteor is given in [27, 28]: M = 40 − 2.5 log10 αz , where αz is the zenithal electron line density (per meter) in the train. There have been many determinations of the relationship between αz , V , and the initial meteoroid mass m [27, 31], both from theory and from observations. The form of the expression is generally given as αz = C 1 m x V y (m−1 ), where the normalizing constant C1 has values typically in the range 2–8 × 10−10 , x = 0.9–1.1, and y = 3.2–4.0. Dependent upon the velocity, one finds [27]: log10 αz = C2 + log10 m, where C2 = 16–17. This implies that a meteor of zenithal magnitude zero (M = 0) has a mass of ∼ 0.1–1 g. The above assumed that the mean sporadic meteoroid speed is ∼ 30–40 km/s; in fact the initial analysis of the Harvard Radar Meteor Project results [32] implied that the mean speed, at least for faint radar meteors, is < 20 km/s, but apparently an error was made such that the real mean speed is somewhat higher than 20 km s−1 [33]. Particles arriving from heliocentric elliptical orbits may impact the Earth at speeds between 11 and 73 km/s. The composition of meteoroids and dust is still a matter of uncertainty. Spectroscopic observations of meteors indicate highly differentiated material similar to various meteorite classes, whilst dust collection in the stratosphere also indicates compositions similar to meteorite classes although volatile components may have been lost through heating in atmospheric entry; hypervelocity spacecraft impacts are unlikely to leave traces of any but the most refractory components. A variety of recent papers on these topics, and other features of meteoroids and interplanetary dust, may be found in [34–39]. The present state of knowledge indicates that the particles under consideration are largely comprised of meteoritic-type materials (silicates, nickel–iron) but with a significant fraction of heavy organics (kerogens) that are thermodynamically stable over periods of ∼ 104 yr after release from their parent bodies, but which are destroyed on atmospheric entry. The origin of at least some meteoroids is indicated by the association of various meteor showers with specific comets through orbit similarity [40]. The orbits of meteoroids determined in various surveys are reviewed and cataloged in [41], where evidence linking showers with various Earthcrossing asteroids (see Table 13.11) is also discussed. Larger meteoroids in the 5–10 m size range may also be cometary fragments [42]. While many meteoroids appear to be of low density (ρ < 1 g/cm3 ), there is also a high-density component with ρ = 3–8 g/cm3 [43], [44]. The evolution of meteoroid streams is reviewed in [45]. The origin of sporadic meteors appears to be gravitational stirring of streams, in particular by Jupiter; small meteoroids and dust are also subject to orbital circularization/inspiralling toward the Sun under the influence of the Poynting–Robertson drag force, with various other effects also being significant. Meteoroids tend to end their lives through impacts upon smaller dust particles, their comminution maintaining the interplanetary dust supply (although it is not clear whether the present complex is in balance [46]), which in turn is depleted through collisions, inspiralling, and eventual ejection from the solar system by radiation/solar wind pressure. The terrestrial mass accretion rate of small meteoroids and dust has been established from impact data collected with the Long Duration Exposure Facility [47] and other satellites [48], the small particle influx being 40 ± 20 × 106 kg per year (see Figure 13.3), in accord with the influx determined by radar Sp.-V/AQuan/1999/10/10:09:50 Page 336 336 / 13 S OLAR S YSTEM S MALL B ODIES Figure 13.3. The logarithmic incremental mass influx to the Earth, in units of 106 kg per year per logarithmic mass interval. For these small particles (meteoroids and dust) the peak influx is at ∼ 10−5 g, and the integral under this curve is ∼ 40, 000 tonnes/year [47], although larger particles (asteroids and comets) dominate the long-term averaged mass influx [50]. From [47], Figure 4. meteor techniques [29]. The small particle influx can also be measured from ice cores [49]. The influx over the whole mass spectrum (from dust through to large asteroids and comets) is reviewed in [50]. 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