Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models with 10 Earth mass heavy elements cores at 9.500 AU from the Sun. NOTE: -Me ---> Mass in Mearth -Mj ---> Mass in Mjupiter -Rj ---> Radius in Rjupiter -g ---> Surface gravity in m/s^2 -Tint ---> Internal temperature in K -L ---> Internal luminosity in erg/s t (Gyr) = 0.0010 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 1.258 0.823 241.0 1.95E+26 21.54 0.068 1.489 0.759 253.0 3.31E+26 27.83 0.088 1.647 0.800 273.4 5.52E+26 35.94 0.113 1.795 0.871 303.6 9.98E+26 46.42 0.146 1.881 1.025 339.6 1.72E+27 59.95 0.189 1.924 1.265 375.1 2.68E+27 77.43 0.244 1.927 1.627 416.9 4.09E+27 100.00 0.315 1.890 2.183 475.5 6.65E+27 129.15 0.406 1.802 3.106 549.8 1.08E+28 166.81 0.525 1.691 4.550 646.5 1.83E+28 215.44 0.678 1.612 6.470 743.0 2.90E+28 278.26 0.875 1.581 8.689 864.1 5.09E+28 317.89 1.000 1.576 9.983 934.1 6.90E+28 359.38 1.131 1.578 11.264 1001.9 9.13E+28 464.16 1.460 1.595 14.232 1136.8 1.55E+29 599.48 1.886 1.639 17.402 1255.8 2.44E+29 774.26 2.436 1.701 20.875 1388.9 3.93E+29 1000.00 3.146 1.781 24.597 1544.8 6.58E+29 1291.55 4.063 1.880 28.508 1697.6 1.07E+30 1668.10 5.247 1.991 32.820 1846.4 1.68E+30 2154.43 6.777 2.109 37.794 1985.9 2.52E+30 2782.56 8.753 2.218 44.143 2113.6 3.58E+30 3593.81 11.305 2.305 52.791 2232.5 4.81E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.733 1.876 200.4 3.16E+25 16.68 0.052 1.001 1.299 211.8 7.36E+25 21.54 0.068 1.189 1.189 226.0 1.35E+26 27.83 0.088 1.325 1.238 243.5 2.25E+26 35.94 0.113 1.433 1.366 265.5 3.72E+26 46.42 0.146 1.511 1.587 291.3 6.01E+26 59.95 0.189 1.565 1.910 320.4 9.41E+26 77.43 0.244 1.594 2.378 355.2 1.48E+27 100.00 0.315 1.593 3.074 399.3 2.35E+27 129.15 0.406 1.555 4.168 454.5 3.77E+27 166.81 0.525 1.500 5.782 510.5 5.58E+27 215.44 0.678 1.459 7.894 567.9 8.07E+27 278.26 0.875 1.430 10.610 642.8 1.27E+28 317.89 1.000 1.421 12.285 689.0 1.67E+28 359.38 1.131 1.416 13.979 726.1 2.04E+28 464.16 1.460 1.426 17.805 822.8 3.41E+28 599.48 1.886 1.447 22.337 939.5 5.96E+28 774.26 2.436 1.478 27.636 1069.7 1.05E+29 1000.00 3.146 1.521 33.724 1214.4 1.83E+29 1291.55 4.063 1.575 40.607 1366.3 3.15E+29 1668.10 5.247 1.639 48.467 1537.6 5.47E+29 2154.43 6.777 1.715 57.123 1727.7 9.56E+29 2782.56 8.753 1.803 66.786 1912.9 1.59E+30 3593.81 11.305 1.895 78.096 2090.5 2.50E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.612 2.693 162.8 9.57E+24 16.68 0.052 0.823 1.924 174.6 2.29E+25 21.54 0.068 0.972 1.781 187.9 4.29E+25 27.83 0.088 1.085 1.845 204.2 7.47E+25 35.94 0.113 1.176 2.029 222.7 1.24E+26 46.42 0.146 1.246 2.335 243.7 2.00E+26 59.95 0.189 1.301 2.765 267.7 3.17E+26 77.43 0.244 1.340 3.362 295.7 5.00E+26 100.00 0.315 1.363 4.201 328.6 7.89E+26 129.15 0.406 1.361 5.438 363.5 1.18E+27 166.81 0.525 1.353 7.109 399.4 1.70E+27 215.44 0.678 1.339 9.377 445.6 2.58E+27 278.26 0.875 1.325 12.365 498.5 3.95E+27 317.89 1.000 1.322 14.190 522.6 4.76E+27 359.38 1.131 1.324 15.999 545.5 5.66E+27 464.16 1.460 1.333 20.392 603.3 8.59E+27 599.48 1.886 1.343 25.912 674.8 1.37E+28 774.26 2.436 1.356 32.872 772.1 2.39E+28 1000.00 3.146 1.373 41.397 891.1 4.34E+28 1291.55 4.063 1.396 51.726 1028.3 7.95E+28 1668.10 5.247 1.422 64.330 1181.4 1.44E+29 2154.43 6.777 1.450 79.918 1358.6 2.61E+29 2782.56 8.753 1.489 97.852 1534.1 4.48E+29 3593.81 11.305 1.545 117.406 1730.9 7.81E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.530 3.592 127.5 2.70E+24 16.68 0.052 0.701 2.649 138.9 6.68E+24 21.54 0.068 0.824 2.478 150.5 1.27E+25 27.83 0.088 0.919 2.574 164.1 2.24E+25 35.94 0.113 0.996 2.829 179.8 3.77E+25 46.42 0.146 1.058 3.236 196.9 6.13E+25 59.95 0.189 1.110 3.793 216.4 9.86E+25 77.43 0.244 1.152 4.551 238.5 1.57E+26 100.00 0.315 1.185 5.556 260.2 2.35E+26 129.15 0.406 1.211 6.870 284.2 3.49E+26 166.81 0.525 1.229 8.621 313.5 5.32E+26 215.44 0.678 1.236 11.004 347.4 8.11E+26 278.26 0.875 1.236 14.205 381.6 1.18E+27 317.89 1.000 1.239 16.142 399.5 1.43E+27 359.38 1.131 1.244 18.109 418.6 1.74E+27 464.16 1.460 1.255 23.003 465.4 2.69E+27 599.48 1.886 1.266 29.181 519.8 4.27E+27 774.26 2.436 1.275 37.180 583.2 6.85E+27 1000.00 3.146 1.282 47.468 661.3 1.15E+28 1291.55 4.063 1.288 60.767 759.5 2.02E+28 1668.10 5.247 1.289 78.352 886.7 3.75E+28 2154.43 6.777 1.299 99.631 999.5 6.14E+28 2782.56 8.753 1.316 125.390 1147.7 1.10E+29 3593.81 11.305 1.334 157.435 1321.7 1.98E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.474 4.490 96.7 7.15E+23 16.68 0.052 0.618 3.411 107.3 1.84E+24 21.54 0.068 0.723 3.214 117.0 3.57E+24 27.83 0.088 0.806 3.343 127.2 6.20E+24 35.94 0.113 0.873 3.678 138.7 1.03E+25 46.42 0.146 0.928 4.202 151.9 1.67E+25 59.95 0.189 0.976 4.907 166.7 2.68E+25 77.43 0.244 1.020 5.801 180.7 4.05E+25 100.00 0.315 1.063 6.904 197.9 6.32E+25 129.15 0.406 1.098 8.351 218.0 9.94E+25 166.81 0.525 1.126 10.269 240.5 1.54E+26 215.44 0.678 1.144 12.849 266.5 2.40E+26 278.26 0.875 1.158 16.179 291.5 3.53E+26 317.89 1.000 1.166 18.236 306.3 4.37E+26 359.38 1.131 1.174 20.353 320.9 5.33E+26 464.16 1.460 1.188 25.671 354.6 8.14E+26 599.48 1.886 1.200 32.451 392.2 1.24E+27 774.26 2.436 1.210 41.286 435.7 1.93E+27 1000.00 3.146 1.214 52.909 487.5 3.04E+27 1291.55 4.063 1.214 68.389 550.6 4.95E+27 1668.10 5.247 1.208 89.167 618.1 7.79E+27 2154.43 6.777 1.208 115.136 711.0 1.36E+28 2782.56 8.753 1.207 149.034 832.1 2.55E+28 3593.81 11.305 1.204 193.332 983.9 4.96E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.440 5.217 67.0 1.43E+23 16.68 0.052 0.563 4.105 77.9 4.27E+23 21.54 0.068 0.655 3.914 87.3 9.08E+23 27.83 0.088 0.730 4.076 95.4 1.61E+24 35.94 0.113 0.792 4.473 103.9 2.67E+24 46.42 0.146 0.843 5.090 113.1 4.25E+24 59.95 0.189 0.892 5.883 121.5 6.32E+24 77.43 0.244 0.936 6.893 132.0 9.71E+24 100.00 0.315 0.977 8.165 144.6 1.52E+25 129.15 0.406 1.013 9.814 159.7 2.44E+25 166.81 0.525 1.043 11.951 177.7 3.96E+25 215.44 0.678 1.069 14.713 197.0 6.28E+25 278.26 0.875 1.091 18.230 218.6 9.91E+25 317.89 1.000 1.102 20.432 230.7 1.25E+26 359.38 1.131 1.111 22.707 242.3 1.55E+26 464.16 1.460 1.128 28.439 268.2 2.40E+26 599.48 1.886 1.144 35.754 295.8 3.65E+26 774.26 2.436 1.155 45.274 325.6 5.47E+26 1000.00 3.146 1.161 57.871 358.2 8.09E+26 1291.55 4.063 1.160 74.830 396.8 1.22E+27 1668.10 5.247 1.156 97.416 443.1 1.88E+27 2154.43 6.777 1.150 127.154 511.4 3.30E+27 2782.56 8.753 1.139 167.356 596.5 5.99E+27 3593.81 11.305 1.124 221.833 703.0 1.13E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.424 5.607 44.7 2.62E+22 16.68 0.052 0.532 4.592 52.4 7.83E+22 21.54 0.068 0.615 4.442 60.6 1.86E+23 27.83 0.088 0.683 4.658 66.7 3.37E+23 35.94 0.113 0.740 5.123 72.7 5.59E+23 46.42 0.146 0.791 5.786 78.8 8.83E+23 59.95 0.189 0.839 6.649 86.3 1.42E+24 77.43 0.244 0.882 7.767 95.0 2.31E+24 100.00 0.315 0.921 9.192 104.5 3.70E+24 129.15 0.406 0.955 11.044 115.0 5.82E+24 166.81 0.525 0.985 13.410 126.7 9.12E+24 215.44 0.678 1.013 16.366 139.7 1.43E+25 278.26 0.875 1.037 20.203 156.7 2.36E+25 317.89 1.000 1.047 22.605 166.6 3.08E+25 359.38 1.131 1.057 25.089 176.1 3.91E+25 464.16 1.460 1.075 31.333 197.8 6.44E+25 599.48 1.886 1.092 39.249 221.6 1.05E+26 774.26 2.436 1.104 49.529 246.4 1.64E+26 1000.00 3.146 1.112 63.104 274.1 2.54E+26 1291.55 4.063 1.113 81.337 305.2 3.92E+26 1668.10 5.247 1.112 105.241 338.0 5.88E+26 2154.43 6.777 1.105 137.563 381.3 9.43E+26 2782.56 8.753 1.092 182.161 433.6 1.54E+27 3593.81 11.305 1.072 243.967 502.8 2.68E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.409 6.022 36.1 1.04E+22 16.68 0.052 0.514 4.921 39.8 2.43E+22 21.54 0.068 0.594 4.760 41.8 3.94E+22 27.83 0.088 0.659 4.993 43.9 5.88E+22 35.94 0.113 0.715 5.480 47.1 9.17E+22 46.42 0.146 0.764 6.197 51.2 1.48E+23 59.95 0.189 0.809 7.138 56.3 2.40E+23 77.43 0.244 0.850 8.358 62.7 4.08E+23 100.00 0.315 0.887 9.915 70.3 7.04E+23 129.15 0.406 0.918 11.944 78.7 1.18E+24 166.81 0.525 0.947 14.501 87.5 1.92E+24 215.44 0.678 0.975 17.677 98.8 3.31E+24 278.26 0.875 0.998 21.783 110.7 5.45E+24 317.89 1.000 1.009 24.379 117.6 7.08E+24 359.38 1.131 1.018 27.075 124.4 9.05E+24 464.16 1.460 1.034 33.898 140.2 1.51E+25 599.48 1.886 1.048 42.586 158.2 2.50E+25 774.26 2.436 1.059 53.813 179.2 4.22E+25 1000.00 3.146 1.067 68.578 202.4 6.96E+25 1291.55 4.063 1.069 88.159 226.0 1.09E+26 1668.10 5.247 1.070 113.700 254.6 1.75E+26 2154.43 6.777 1.064 148.453 287.9 2.84E+26 2782.56 8.753 1.051 196.416 325.8 4.54E+26 3593.81 11.305 1.032 263.207 372.8 7.51E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.392 6.540 27.1 2.71E+21 16.68 0.052 0.493 5.350 31.4 8.60E+21 21.54 0.068 0.572 5.143 33.9 1.58E+22 27.83 0.088 0.638 5.337 35.9 2.48E+22 35.94 0.113 0.695 5.798 37.7 3.56E+22 46.42 0.146 0.746 6.507 39.4 4.89E+22 59.95 0.189 0.792 7.459 41.4 6.69E+22 77.43 0.244 0.833 8.712 43.8 9.34E+22 100.00 0.315 0.869 10.328 46.7 1.31E+23 129.15 0.406 0.900 12.449 50.3 1.91E+23 166.81 0.525 0.927 15.144 55.6 3.00E+23 215.44 0.678 0.951 18.572 64.4 5.74E+23 278.26 0.875 0.972 22.993 74.4 1.06E+24 317.89 1.000 0.981 25.762 79.6 1.41E+24 359.38 1.131 0.989 28.636 84.7 1.84E+24 464.16 1.460 1.004 35.911 96.7 3.22E+24 599.48 1.886 1.017 45.198 110.3 5.58E+24 774.26 2.436 1.027 57.247 124.7 9.29E+24 1000.00 3.146 1.032 73.192 141.2 1.54E+25 1291.55 4.063 1.034 94.190 159.6 2.53E+25 1668.10 5.247 1.033 121.955 184.3 4.49E+25 2154.43 6.777 1.027 159.481 213.8 8.02E+25 2782.56 8.753 1.015 210.700 244.7 1.35E+26 3593.81 11.305 0.998 281.550 279.7 2.22E+26 ----------------------------------------------------------