Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models with 10 Earth mass heavy elements cores at 1.000 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 1.533 0.555 184.4 9.97E+25 21.54 0.068 1.742 0.554 201.2 1.82E+26 27.83 0.088 1.867 0.624 228.0 3.47E+26 35.94 0.113 1.988 0.710 265.9 7.22E+26 46.42 0.146 2.065 0.850 305.4 1.36E+27 59.95 0.189 2.110 1.051 350.4 2.45E+27 77.43 0.244 2.097 1.373 401.4 4.16E+27 100.00 0.315 2.009 1.934 462.8 6.76E+27 129.15 0.406 1.854 2.932 546.6 1.12E+28 166.81 0.525 1.702 4.492 632.8 1.69E+28 215.44 0.678 1.640 6.253 713.7 2.56E+28 278.26 0.875 1.617 8.302 824.9 4.44E+28 317.89 1.000 1.618 9.476 888.5 5.97E+28 359.38 1.131 1.624 10.631 949.2 7.83E+28 464.16 1.460 1.647 13.341 1086.5 1.38E+29 599.48 1.886 1.691 16.366 1232.7 2.41E+29 774.26 2.436 1.750 19.719 1388.2 4.15E+29 1000.00 3.146 1.823 23.473 1546.3 6.93E+29 1291.55 4.063 1.901 27.878 1707.2 1.12E+30 1668.10 5.247 1.975 33.367 1880.6 1.78E+30 2154.43 6.777 2.034 40.634 2058.7 2.71E+30 2782.56 8.753 2.093 49.572 2182.1 3.62E+30 3593.81 11.305 2.159 60.152 2324.0 4.96E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 1.336 0.729 160.6 4.34E+25 21.54 0.068 1.532 0.717 171.6 7.47E+25 27.83 0.088 1.627 0.822 192.5 1.34E+26 35.94 0.113 1.682 0.992 223.1 2.57E+26 46.42 0.146 1.706 1.245 258.4 4.73E+26 59.95 0.189 1.720 1.582 297.4 8.46E+26 77.43 0.244 1.705 2.078 341.4 1.45E+27 100.00 0.315 1.654 2.853 395.8 2.45E+27 129.15 0.406 1.565 4.113 458.1 3.93E+27 166.81 0.525 1.511 5.698 504.0 5.39E+27 215.44 0.678 1.483 7.645 569.5 8.43E+27 278.26 0.875 1.469 10.066 641.6 1.33E+28 317.89 1.000 1.466 11.535 681.4 1.69E+28 359.38 1.131 1.467 13.031 720.4 2.12E+28 464.16 1.460 1.470 16.749 818.0 3.53E+28 599.48 1.886 1.481 21.322 942.8 6.33E+28 774.26 2.436 1.499 26.874 1083.4 1.13E+29 1000.00 3.146 1.525 33.557 1242.8 2.02E+29 1291.55 4.063 1.558 41.536 1412.6 3.52E+29 1668.10 5.247 1.611 50.149 1553.6 5.51E+29 2154.43 6.777 1.680 59.558 1704.1 8.68E+29 2782.56 8.753 1.754 70.548 1854.9 1.33E+30 3593.81 11.305 1.832 83.553 2019.0 2.03E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 1.129 1.022 138.3 1.71E+25 21.54 0.068 1.305 0.988 149.4 3.10E+25 27.83 0.088 1.398 1.110 164.1 5.17E+25 35.94 0.113 1.446 1.342 183.3 8.63E+25 46.42 0.146 1.456 1.708 207.9 1.45E+26 59.95 0.189 1.453 2.218 239.6 2.55E+26 77.43 0.244 1.436 2.928 277.9 4.49E+26 100.00 0.315 1.407 3.939 321.8 7.76E+26 129.15 0.406 1.387 5.235 348.7 1.04E+27 166.81 0.525 1.376 6.876 386.4 1.54E+27 215.44 0.678 1.361 9.074 431.8 2.35E+27 278.26 0.875 1.350 11.918 490.7 3.87E+27 317.89 1.000 1.347 13.668 524.5 5.02E+27 359.38 1.131 1.347 15.451 557.3 6.39E+27 464.16 1.460 1.348 19.916 631.6 1.06E+28 599.48 1.886 1.351 25.639 717.1 1.76E+28 774.26 2.436 1.351 33.076 818.8 3.00E+28 1000.00 3.146 1.354 42.569 924.1 4.88E+28 1291.55 4.063 1.379 53.010 1029.7 7.81E+28 1668.10 5.247 1.413 65.217 1165.9 1.35E+29 2154.43 6.777 1.452 79.760 1318.2 2.32E+29 2782.56 8.753 1.495 97.085 1495.0 4.08E+29 3593.81 11.305 1.546 117.369 1692.3 7.14E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.706 2.023 109.2 2.59E+24 16.68 0.052 0.962 1.406 113.5 5.62E+24 21.54 0.068 1.111 1.361 122.3 1.01E+25 27.83 0.088 1.196 1.517 135.6 1.77E+25 35.94 0.113 1.241 1.820 152.1 3.02E+25 46.42 0.146 1.257 2.290 171.2 4.95E+25 59.95 0.189 1.261 2.943 193.4 8.13E+25 77.43 0.244 1.251 3.859 219.0 1.32E+26 100.00 0.315 1.253 4.965 234.2 1.72E+26 129.15 0.406 1.263 6.317 258.6 2.61E+26 166.81 0.525 1.267 8.112 291.4 4.22E+26 215.44 0.678 1.266 10.494 331.3 7.06E+26 278.26 0.875 1.261 13.647 373.9 1.13E+27 317.89 1.000 1.261 15.596 397.4 1.45E+27 359.38 1.131 1.262 17.609 419.1 1.79E+27 464.16 1.460 1.263 22.684 467.4 2.78E+27 599.48 1.886 1.265 29.223 521.7 4.33E+27 774.26 2.436 1.263 37.880 584.3 6.78E+27 1000.00 3.146 1.268 48.524 637.8 9.72E+27 1291.55 4.063 1.281 61.356 729.1 1.70E+28 1668.10 5.247 1.296 77.483 845.1 3.13E+28 2154.43 6.777 1.311 97.831 978.9 5.75E+28 2782.56 8.753 1.326 123.478 1135.4 1.06E+29 3593.81 11.305 1.342 155.574 1319.0 1.99E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.611 2.697 86.9 7.77E+23 16.68 0.052 0.825 1.911 93.5 1.90E+24 21.54 0.068 0.959 1.830 101.2 3.52E+24 27.83 0.088 1.041 2.005 110.3 5.86E+24 35.94 0.113 1.089 2.363 121.1 9.32E+24 46.42 0.146 1.114 2.920 133.6 1.44E+25 59.95 0.189 1.126 3.688 147.8 2.21E+25 77.43 0.244 1.139 4.654 157.6 2.93E+25 100.00 0.315 1.161 5.786 171.2 4.25E+25 129.15 0.406 1.177 7.270 191.1 6.78E+25 166.81 0.525 1.188 9.225 214.9 1.10E+26 215.44 0.678 1.193 11.803 242.3 1.79E+26 278.26 0.875 1.194 15.223 272.3 2.86E+26 317.89 1.000 1.195 17.374 288.3 3.59E+26 359.38 1.131 1.196 19.584 304.3 4.49E+26 464.16 1.460 1.199 25.187 339.3 6.95E+26 599.48 1.886 1.202 32.390 379.8 1.10E+27 774.26 2.436 1.201 41.843 420.5 1.65E+27 1000.00 3.146 1.210 53.286 470.5 2.62E+27 1291.55 4.063 1.219 67.796 536.3 4.49E+27 1668.10 5.247 1.224 86.811 611.6 7.66E+27 2154.43 6.777 1.224 112.123 699.1 1.31E+28 2782.56 8.753 1.219 146.029 821.8 2.48E+28 3593.81 11.305 1.212 190.931 976.3 4.87E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.541 3.438 68.3 2.33E+23 16.68 0.052 0.722 2.494 74.2 5.76E+23 21.54 0.068 0.839 2.386 79.9 1.05E+24 27.83 0.088 0.916 2.586 87.1 1.77E+24 35.94 0.113 0.967 2.999 95.5 2.83E+24 46.42 0.146 0.999 3.626 104.9 4.41E+24 59.95 0.189 1.027 4.437 111.9 6.04E+24 77.43 0.244 1.060 5.380 120.3 8.60E+24 100.00 0.315 1.090 6.561 131.5 1.30E+25 129.15 0.406 1.113 8.131 144.6 1.97E+25 166.81 0.525 1.129 10.200 159.6 3.02E+25 215.44 0.678 1.139 12.959 177.2 4.67E+25 278.26 0.875 1.143 16.622 198.0 7.34E+25 317.89 1.000 1.145 18.930 210.3 9.38E+25 359.38 1.131 1.147 21.324 222.1 1.17E+26 464.16 1.460 1.150 27.375 249.7 1.88E+26 599.48 1.886 1.153 35.185 280.3 3.00E+26 774.26 2.436 1.156 45.181 308.7 4.42E+26 1000.00 3.146 1.165 57.448 346.5 7.15E+26 1291.55 4.063 1.171 73.465 389.8 1.16E+27 1668.10 5.247 1.170 95.019 441.8 1.91E+27 2154.43 6.777 1.163 124.351 513.0 3.42E+27 2782.56 8.753 1.149 164.376 601.8 6.32E+27 3593.81 11.305 1.131 219.312 708.8 1.18E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.491 4.174 51.4 6.14E+22 16.68 0.052 0.646 3.123 57.2 1.62E+23 21.54 0.068 0.750 2.991 62.2 3.07E+23 27.83 0.088 0.823 3.207 67.8 5.22E+23 35.94 0.113 0.876 3.658 73.9 8.33E+23 46.42 0.146 0.915 4.322 78.6 1.17E+24 59.95 0.189 0.957 5.107 83.6 1.63E+24 77.43 0.244 0.996 6.089 90.4 2.42E+24 100.00 0.315 1.031 7.340 98.3 3.63E+24 129.15 0.406 1.058 9.002 107.5 5.46E+24 166.81 0.525 1.079 11.187 118.7 8.41E+24 215.44 0.678 1.092 14.085 132.1 1.33E+25 278.26 0.875 1.100 17.937 147.5 2.09E+25 317.89 1.000 1.103 20.375 156.1 2.64E+25 359.38 1.131 1.106 22.901 164.6 3.29E+25 464.16 1.460 1.111 29.332 183.5 5.12E+25 599.48 1.886 1.114 37.657 204.5 7.94E+25 774.26 2.436 1.121 48.084 224.1 1.16E+26 1000.00 3.146 1.128 61.284 250.5 1.83E+26 1291.55 4.063 1.131 78.750 283.6 3.02E+26 1668.10 5.247 1.127 102.380 326.2 5.25E+26 2154.43 6.777 1.117 134.709 376.3 9.15E+26 2782.56 8.753 1.100 179.463 434.4 1.57E+27 3593.81 11.305 1.077 241.895 503.4 2.72E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.459 4.793 37.3 1.49E+22 16.68 0.052 0.589 3.748 43.4 4.51E+22 21.54 0.068 0.684 3.589 47.4 8.64E+22 27.83 0.088 0.755 3.809 51.4 1.45E+23 35.94 0.113 0.810 4.272 54.5 2.11E+23 46.42 0.146 0.859 4.908 57.8 2.99E+23 59.95 0.189 0.904 5.722 62.0 4.41E+23 77.43 0.244 0.944 6.776 67.1 6.60E+23 100.00 0.315 0.980 8.121 73.2 1.01E+24 129.15 0.406 1.010 9.881 80.3 1.55E+24 166.81 0.525 1.034 12.167 88.5 2.40E+24 215.44 0.678 1.052 15.185 97.9 3.70E+24 278.26 0.875 1.063 19.203 108.4 5.70E+24 317.89 1.000 1.068 21.751 114.5 7.15E+24 359.38 1.131 1.072 24.406 120.3 8.80E+24 464.16 1.460 1.078 31.177 133.5 1.35E+25 599.48 1.886 1.082 39.948 148.2 2.06E+25 774.26 2.436 1.091 50.782 162.1 2.99E+25 1000.00 3.146 1.097 64.815 183.2 4.95E+25 1291.55 4.063 1.099 83.453 208.3 8.31E+25 1668.10 5.247 1.094 108.820 237.4 1.39E+26 2154.43 6.777 1.081 143.771 271.6 2.32E+26 2782.56 8.753 1.062 192.416 312.6 3.93E+26 3593.81 11.305 1.037 260.497 363.3 6.83E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.435 5.335 27.4 3.86E+21 16.68 0.052 0.550 4.303 31.7 1.11E+22 21.54 0.068 0.637 4.137 34.9 2.19E+22 27.83 0.088 0.707 4.344 37.3 3.51E+22 35.94 0.113 0.766 4.781 39.6 5.29E+22 46.42 0.146 0.817 5.429 42.5 7.95E+22 59.95 0.189 0.863 6.283 46.0 1.22E+23 77.43 0.244 0.904 7.397 50.0 1.86E+23 100.00 0.315 0.940 8.825 54.4 2.81E+23 129.15 0.406 0.971 10.687 59.3 4.25E+23 166.81 0.525 0.997 13.083 65.0 6.46E+23 215.44 0.678 1.018 16.223 71.4 9.80E+23 278.26 0.875 1.032 20.399 78.9 1.51E+24 317.89 1.000 1.037 23.056 83.1 1.87E+24 359.38 1.131 1.042 25.824 87.4 2.31E+24 464.16 1.460 1.049 32.900 96.9 3.54E+24 599.48 1.886 1.055 42.012 106.3 5.19E+24 774.26 2.436 1.065 53.297 118.8 8.23E+24 1000.00 3.146 1.071 68.045 134.0 1.35E+25 1291.55 4.063 1.072 87.721 151.4 2.20E+25 1668.10 5.247 1.066 114.614 171.9 3.63E+25 2154.43 6.777 1.052 151.768 196.8 6.06E+25 2782.56 8.753 1.033 203.450 227.1 1.03E+26 3593.81 11.305 1.008 275.718 263.2 1.78E+26 ----------------------------------------------------------