Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models with 10 Earth mass heavy elements cores at 0.045 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 1.712 0.445 151.3 5.62E+25 21.54 0.068 1.956 0.440 159.2 8.96E+25 27.83 0.088 2.129 0.480 178.1 1.67E+26 35.94 0.113 2.373 0.498 210.6 4.04E+26 46.42 0.146 2.537 0.563 244.3 8.35E+26 59.95 0.189 2.577 0.706 286.0 1.63E+27 77.43 0.244 2.563 0.921 342.4 3.30E+27 100.00 0.315 2.447 1.305 407.3 6.02E+27 129.15 0.406 2.215 2.053 493.8 1.06E+28 166.81 0.525 1.969 3.359 612.1 1.99E+28 215.44 0.678 1.806 5.157 694.7 2.79E+28 278.26 0.875 1.744 7.135 787.0 4.25E+28 317.89 1.000 1.731 8.281 843.6 5.55E+28 359.38 1.131 1.725 9.426 898.1 7.09E+28 464.16 1.460 1.723 12.200 1021.6 1.18E+29 599.48 1.886 1.738 15.488 1160.0 2.00E+29 774.26 2.436 1.765 19.395 1314.7 3.40E+29 1000.00 3.146 1.800 24.086 1485.1 5.75E+29 1291.55 4.063 1.839 29.804 1672.7 9.66E+29 1668.10 5.247 1.877 36.962 1881.6 1.61E+30 2154.43 6.777 1.922 45.517 2051.0 2.39E+30 2782.56 8.753 1.986 55.058 2213.0 3.45E+30 3593.81 11.305 2.056 66.332 2399.8 5.12E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 1.533 0.554 141.9 3.49E+25 21.54 0.068 1.772 0.536 150.7 5.93E+25 27.83 0.088 1.922 0.588 165.3 1.01E+26 35.94 0.113 2.063 0.660 192.7 2.15E+26 46.42 0.146 2.129 0.799 223.3 4.11E+26 59.95 0.189 2.135 1.026 255.9 7.12E+26 77.43 0.244 2.086 1.389 297.3 1.24E+27 100.00 0.315 1.976 1.999 355.1 2.27E+27 129.15 0.406 1.812 3.067 431.9 4.17E+27 166.81 0.525 1.661 4.717 496.5 6.11E+27 215.44 0.678 1.601 6.557 553.1 8.77E+27 278.26 0.875 1.570 8.813 621.0 1.34E+28 317.89 1.000 1.560 10.188 659.4 1.68E+28 359.38 1.131 1.554 11.605 696.2 2.07E+28 464.16 1.460 1.546 15.153 785.0 3.32E+28 599.48 1.886 1.543 19.648 895.9 5.61E+28 774.26 2.436 1.545 25.310 1030.1 9.82E+28 1000.00 3.146 1.550 32.479 1188.6 1.75E+29 1291.55 4.063 1.557 41.556 1358.4 3.01E+29 1668.10 5.247 1.591 51.396 1488.7 4.54E+29 2154.43 6.777 1.642 62.367 1655.5 7.38E+29 2782.56 8.753 1.701 75.048 1833.1 1.19E+30 3593.81 11.305 1.763 90.258 2027.6 1.92E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 1.305 0.765 125.7 1.56E+25 21.54 0.068 1.513 0.734 135.5 2.82E+25 27.83 0.088 1.642 0.806 149.7 4.93E+25 35.94 0.113 1.727 0.941 168.6 8.79E+25 46.42 0.146 1.752 1.181 192.6 1.54E+26 59.95 0.189 1.740 1.546 222.9 2.73E+26 77.43 0.244 1.702 2.086 259.4 4.79E+26 100.00 0.315 1.629 2.939 303.4 8.20E+26 129.15 0.406 1.530 4.306 349.1 1.27E+27 166.81 0.525 1.482 5.929 379.7 1.66E+27 215.44 0.678 1.451 7.979 423.7 2.48E+27 278.26 0.875 1.430 10.616 478.2 3.90E+27 317.89 1.000 1.424 12.232 511.5 5.08E+27 359.38 1.131 1.420 13.902 542.4 6.37E+27 464.16 1.460 1.414 18.109 612.6 1.03E+28 599.48 1.886 1.409 23.556 692.9 1.67E+28 774.26 2.436 1.402 30.716 785.0 2.72E+28 1000.00 3.146 1.394 40.120 892.1 4.49E+28 1291.55 4.063 1.407 50.865 972.1 6.47E+28 1668.10 5.247 1.431 63.560 1098.2 1.09E+29 2154.43 6.777 1.458 79.104 1256.0 1.93E+29 2782.56 8.753 1.487 98.131 1437.9 3.45E+29 3593.81 11.305 1.520 121.325 1645.2 6.17E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.799 1.579 103.3 2.65E+24 16.68 0.052 1.098 1.081 106.3 5.62E+24 21.54 0.068 1.271 1.040 114.2 1.00E+25 27.83 0.088 1.374 1.152 127.3 1.82E+25 35.94 0.113 1.431 1.369 144.0 3.21E+25 46.42 0.146 1.454 1.714 163.4 5.51E+25 59.95 0.189 1.451 2.224 185.3 9.06E+25 77.43 0.244 1.425 2.973 211.0 1.47E+26 100.00 0.315 1.384 4.075 239.5 2.30E+26 129.15 0.406 1.362 5.434 256.7 2.95E+26 166.81 0.525 1.349 7.151 288.4 4.59E+26 215.44 0.678 1.336 9.415 328.9 7.64E+26 278.26 0.875 1.325 12.362 371.2 1.22E+27 317.89 1.000 1.323 14.178 393.9 1.54E+27 359.38 1.131 1.321 16.059 414.7 1.88E+27 464.16 1.460 1.319 20.798 461.3 2.88E+27 599.48 1.886 1.317 26.978 512.9 4.38E+27 774.26 2.436 1.311 35.162 573.2 6.77E+27 1000.00 3.146 1.309 45.541 625.2 9.56E+27 1291.55 4.063 1.320 57.820 699.2 1.52E+28 1668.10 5.247 1.331 73.432 804.1 2.70E+28 2154.43 6.777 1.341 93.453 928.4 4.88E+28 2782.56 8.753 1.348 119.468 1074.1 8.84E+28 3593.81 11.305 1.351 153.544 1253.7 1.64E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.679 2.187 83.3 8.10E+23 16.68 0.052 0.924 1.526 88.6 1.92E+24 21.54 0.068 1.073 1.459 96.1 3.57E+24 27.83 0.088 1.165 1.599 105.5 6.15E+24 35.94 0.113 1.218 1.892 116.9 1.01E+25 46.42 0.146 1.239 2.359 130.5 1.63E+25 59.95 0.189 1.244 3.024 146.5 2.60E+25 77.43 0.244 1.235 3.958 164.2 4.06E+25 100.00 0.315 1.239 5.081 174.9 5.26E+25 129.15 0.406 1.247 6.476 194.3 8.12E+25 166.81 0.525 1.251 8.309 218.1 1.29E+26 215.44 0.678 1.250 10.751 245.5 2.08E+26 278.26 0.875 1.245 14.001 275.3 3.25E+26 317.89 1.000 1.244 16.035 291.5 4.07E+26 359.38 1.131 1.244 18.123 307.9 5.08E+26 464.16 1.460 1.243 23.422 344.0 7.89E+26 599.48 1.886 1.243 30.256 385.3 1.25E+27 774.26 2.436 1.239 39.327 431.3 1.94E+27 1000.00 3.146 1.245 50.327 473.5 2.85E+27 1291.55 4.063 1.255 63.934 534.2 4.69E+27 1668.10 5.247 1.262 81.707 602.2 7.64E+27 2154.43 6.777 1.262 105.506 678.4 1.23E+28 2782.56 8.753 1.255 137.881 783.5 2.17E+28 3593.81 11.305 1.241 182.064 927.2 4.16E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.590 2.893 66.8 2.53E+23 16.68 0.052 0.796 2.056 71.3 5.99E+23 21.54 0.068 0.924 1.967 76.8 1.08E+24 27.83 0.088 1.006 2.146 84.3 1.86E+24 35.94 0.113 1.057 2.512 93.2 3.08E+24 46.42 0.146 1.085 3.076 103.6 4.96E+24 59.95 0.189 1.101 3.857 115.0 7.74E+24 77.43 0.244 1.120 4.816 121.8 1.00E+25 100.00 0.315 1.146 5.944 132.7 1.49E+25 129.15 0.406 1.165 7.427 146.1 2.26E+25 166.81 0.525 1.177 9.398 161.5 3.43E+25 215.44 0.678 1.182 12.027 179.8 5.34E+25 278.26 0.875 1.182 15.531 201.8 8.46E+25 317.89 1.000 1.183 17.733 214.7 1.09E+26 359.38 1.131 1.184 20.014 226.8 1.35E+26 464.16 1.460 1.185 25.775 254.3 2.15E+26 599.48 1.886 1.187 33.215 284.4 3.37E+26 774.26 2.436 1.186 42.918 313.1 4.95E+26 1000.00 3.146 1.195 54.644 349.0 7.73E+26 1291.55 4.063 1.202 69.774 392.5 1.25E+27 1668.10 5.247 1.203 89.986 445.0 2.07E+27 2154.43 6.777 1.197 117.388 514.5 3.67E+27 2782.56 8.753 1.184 154.872 597.5 6.52E+27 3593.81 11.305 1.165 206.744 695.4 1.16E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.523 3.680 53.2 7.98E+22 16.68 0.052 0.698 2.669 56.4 1.79E+23 21.54 0.068 0.812 2.551 61.1 3.35E+23 27.83 0.088 0.888 2.751 66.8 5.73E+23 35.94 0.113 0.941 3.169 73.1 9.20E+23 46.42 0.146 0.975 3.808 80.1 1.43E+24 59.95 0.189 1.007 4.608 84.6 1.90E+24 77.43 0.244 1.043 5.553 90.8 2.70E+24 100.00 0.315 1.075 6.748 98.6 4.00E+24 129.15 0.406 1.099 8.338 108.3 6.07E+24 166.81 0.525 1.117 10.437 120.2 9.51E+24 215.44 0.678 1.127 13.228 134.3 1.51E+25 278.26 0.875 1.132 16.929 150.3 2.39E+25 317.89 1.000 1.134 19.268 159.1 3.01E+25 359.38 1.131 1.137 21.688 167.7 3.74E+25 464.16 1.460 1.140 27.842 186.7 5.77E+25 599.48 1.886 1.143 35.799 207.7 8.88E+25 774.26 2.436 1.147 45.926 227.0 1.28E+26 1000.00 3.146 1.154 58.534 251.6 1.95E+26 1291.55 4.063 1.158 75.133 285.5 3.26E+26 1668.10 5.247 1.155 97.547 328.3 5.67E+26 2154.43 6.777 1.145 128.179 378.3 9.79E+26 2782.56 8.753 1.128 170.469 436.9 1.70E+27 3593.81 11.305 1.105 229.716 506.3 2.93E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.472 4.528 39.9 2.05E+22 16.68 0.052 0.620 3.385 45.5 5.99E+22 21.54 0.068 0.725 3.200 48.9 1.10E+23 27.83 0.088 0.799 3.399 52.5 1.78E+23 35.94 0.113 0.854 3.848 56.6 2.73E+23 46.42 0.146 0.897 4.498 59.3 3.63E+23 59.95 0.189 0.941 5.282 62.7 5.00E+23 77.43 0.244 0.981 6.280 67.6 7.35E+23 100.00 0.315 1.016 7.556 73.9 1.13E+24 129.15 0.406 1.044 9.239 81.3 1.73E+24 166.81 0.525 1.067 11.438 89.8 2.70E+24 215.44 0.678 1.082 14.354 99.4 4.18E+24 278.26 0.875 1.091 18.245 110.3 6.42E+24 317.89 1.000 1.094 20.705 116.5 8.06E+24 359.38 1.131 1.098 23.264 122.5 9.89E+24 464.16 1.460 1.103 29.782 135.8 1.51E+25 599.48 1.886 1.106 38.216 150.9 2.32E+25 774.26 2.436 1.113 48.763 165.3 3.37E+25 1000.00 3.146 1.120 62.204 186.9 5.60E+25 1291.55 4.063 1.122 79.985 211.9 9.29E+25 1668.10 5.247 1.118 104.160 240.4 1.52E+26 2154.43 6.777 1.106 137.464 273.8 2.51E+26 2782.56 8.753 1.086 183.904 314.7 4.23E+26 3593.81 11.305 1.061 249.040 365.9 7.38E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.435 5.323 30.3 5.80E+21 16.68 0.052 0.560 4.156 34.8 1.67E+22 21.54 0.068 0.654 3.927 37.7 3.16E+22 27.83 0.088 0.726 4.113 40.1 4.96E+22 35.94 0.113 0.786 4.538 42.3 7.21E+22 46.42 0.146 0.838 5.158 45.1 1.06E+23 59.95 0.189 0.885 5.966 48.5 1.58E+23 77.43 0.244 0.928 7.019 52.3 2.35E+23 100.00 0.315 0.966 8.364 56.6 3.50E+23 129.15 0.406 0.997 10.130 61.4 5.15E+23 166.81 0.525 1.023 12.426 66.8 7.60E+23 215.44 0.678 1.042 15.465 73.1 1.13E+24 278.26 0.875 1.055 19.518 80.6 1.71E+24 317.89 1.000 1.060 22.091 85.1 2.15E+24 359.38 1.131 1.064 24.774 89.4 2.64E+24 464.16 1.460 1.070 31.619 99.2 4.04E+24 599.48 1.886 1.075 40.475 109.6 6.10E+24 774.26 2.436 1.084 51.405 121.5 9.35E+24 1000.00 3.146 1.090 65.613 136.8 1.52E+25 1291.55 4.063 1.092 84.526 154.4 2.47E+25 1668.10 5.247 1.086 110.327 175.3 4.08E+25 2154.43 6.777 1.073 146.004 200.7 6.81E+25 2782.56 8.753 1.053 195.649 231.9 1.17E+26 3593.81 11.305 1.028 265.203 268.4 2.00E+26 ----------------------------------------------------------