Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models with 50 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 ---------------------------------------------------------- 59.95 0.189 0.720 9.014 453.0 7.97E+26 77.43 0.244 0.998 6.063 524.2 2.74E+27 100.00 0.315 1.174 5.666 577.2 5.59E+27 129.15 0.406 1.283 6.122 626.8 9.26E+27 166.81 0.525 1.356 7.082 689.9 1.52E+28 215.44 0.678 1.405 8.511 781.9 2.70E+28 278.26 0.875 1.453 10.285 887.8 4.80E+28 317.89 1.000 1.476 11.382 948.3 6.45E+28 359.38 1.131 1.500 12.469 1007.0 8.45E+28 464.16 1.460 1.556 14.953 1137.5 1.48E+29 599.48 1.886 1.620 17.814 1277.2 2.55E+29 774.26 2.436 1.695 21.016 1426.6 4.34E+29 1000.00 3.146 1.780 24.637 1578.2 7.16E+29 1291.55 4.063 1.865 28.970 1734.9 1.15E+30 1668.10 5.247 1.944 34.441 1903.7 1.81E+30 2154.43 6.777 2.007 41.731 2070.6 2.70E+30 2782.56 8.753 2.072 50.556 2192.5 3.62E+30 3593.81 11.305 2.143 61.072 2333.5 4.96E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.659 10.773 351.8 2.43E+26 77.43 0.244 0.899 7.465 400.7 7.59E+26 100.00 0.315 1.053 7.043 443.0 1.56E+27 129.15 0.406 1.153 7.573 495.4 2.93E+27 166.81 0.525 1.226 8.654 551.5 5.07E+27 215.44 0.678 1.277 10.311 613.6 8.44E+27 278.26 0.875 1.318 12.503 680.7 1.36E+28 317.89 1.000 1.334 13.932 719.0 1.73E+28 359.38 1.131 1.350 15.394 758.0 2.19E+28 464.16 1.460 1.381 18.976 856.5 3.75E+28 599.48 1.886 1.412 23.456 978.8 6.68E+28 774.26 2.436 1.445 28.912 1117.5 1.19E+29 1000.00 3.146 1.483 35.484 1274.7 2.12E+29 1291.55 4.063 1.527 43.240 1427.7 3.53E+29 1668.10 5.247 1.589 51.558 1570.2 5.60E+29 2154.43 6.777 1.662 60.885 1717.2 8.75E+29 2782.56 8.753 1.739 71.763 1866.7 1.34E+30 3593.81 11.305 1.820 84.684 2029.5 2.05E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.613 12.449 258.4 6.12E+25 77.43 0.244 0.822 8.946 306.0 2.17E+26 100.00 0.315 0.961 8.445 343.8 4.70E+26 129.15 0.406 1.058 9.002 380.3 8.53E+26 166.81 0.525 1.128 10.220 417.7 1.41E+27 215.44 0.678 1.176 12.158 462.0 2.30E+27 278.26 0.875 1.213 14.760 517.5 3.86E+27 317.89 1.000 1.227 16.459 550.1 5.04E+27 359.38 1.131 1.241 18.214 582.1 6.45E+27 464.16 1.460 1.266 22.579 654.6 1.08E+28 599.48 1.886 1.285 28.305 739.6 1.81E+28 774.26 2.436 1.300 35.758 840.9 3.08E+28 1000.00 3.146 1.317 44.947 934.0 4.83E+28 1291.55 4.063 1.352 55.149 1044.3 7.92E+28 1668.10 5.247 1.392 67.182 1179.9 1.37E+29 2154.43 6.777 1.434 81.682 1331.7 2.36E+29 2782.56 8.753 1.482 98.873 1508.1 4.14E+29 3593.81 11.305 1.535 118.980 1703.6 7.24E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.580 13.903 188.5 1.55E+25 77.43 0.244 0.766 10.285 225.7 5.57E+25 100.00 0.315 0.892 9.796 252.9 1.19E+26 129.15 0.406 0.983 10.431 281.0 2.20E+26 166.81 0.525 1.050 11.794 314.4 3.94E+26 215.44 0.678 1.099 13.924 351.6 6.74E+26 278.26 0.875 1.136 16.807 391.2 1.10E+27 317.89 1.000 1.152 18.698 413.4 1.42E+27 359.38 1.131 1.164 20.676 434.3 1.76E+27 464.16 1.460 1.189 25.619 481.4 2.77E+27 599.48 1.886 1.205 32.195 534.8 4.33E+27 774.26 2.436 1.216 40.872 593.6 6.70E+27 1000.00 3.146 1.235 51.180 646.7 9.71E+27 1291.55 4.063 1.255 63.940 740.7 1.73E+28 1668.10 5.247 1.276 79.950 856.7 3.21E+28 2154.43 6.777 1.294 100.349 990.4 5.88E+28 2782.56 8.753 1.313 125.952 1146.6 1.09E+29 3593.81 11.305 1.332 158.003 1329.0 2.02E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.554 15.255 141.2 4.45E+24 77.43 0.244 0.726 11.458 166.6 1.48E+25 100.00 0.315 0.843 10.979 184.5 3.01E+25 129.15 0.406 0.928 11.702 206.1 5.69E+25 166.81 0.525 0.993 13.187 229.9 1.01E+26 215.44 0.678 1.041 15.509 255.9 1.70E+26 278.26 0.875 1.079 18.651 283.9 2.76E+26 317.89 1.000 1.094 20.728 299.4 3.51E+26 359.38 1.131 1.107 22.897 314.2 4.35E+26 464.16 1.460 1.130 28.335 348.3 6.86E+26 599.48 1.886 1.147 35.564 386.5 1.07E+27 774.26 2.436 1.160 44.855 424.6 1.60E+27 1000.00 3.146 1.179 56.156 478.7 2.67E+27 1291.55 4.063 1.194 70.657 544.1 4.57E+27 1668.10 5.247 1.205 89.668 618.6 7.76E+27 2154.43 6.777 1.208 115.168 706.4 1.33E+28 2782.56 8.753 1.206 149.170 829.7 2.52E+28 3593.81 11.305 1.202 194.106 983.9 4.94E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.532 16.543 104.0 1.21E+24 77.43 0.244 0.692 12.620 123.9 4.12E+24 100.00 0.315 0.803 12.092 139.5 8.92E+24 129.15 0.406 0.886 12.839 154.0 1.61E+25 166.81 0.525 0.950 14.409 169.1 2.69E+25 215.44 0.678 0.997 16.894 186.3 4.37E+25 278.26 0.875 1.035 20.274 206.3 7.08E+25 317.89 1.000 1.050 22.513 218.0 9.08E+25 359.38 1.131 1.062 24.847 229.6 1.15E+26 464.16 1.460 1.085 30.732 255.7 1.84E+26 599.48 1.886 1.101 38.555 285.4 2.93E+26 774.26 2.436 1.118 48.304 313.4 4.40E+26 1000.00 3.146 1.135 60.533 351.4 7.16E+26 1291.55 4.063 1.147 76.589 394.4 1.16E+27 1668.10 5.247 1.151 98.176 446.5 1.93E+27 2154.43 6.777 1.147 127.740 518.3 3.47E+27 2782.56 8.753 1.137 167.922 606.8 6.40E+27 3593.81 11.305 1.121 223.063 713.4 1.19E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.514 17.712 75.8 3.18E+23 77.43 0.244 0.663 13.737 92.2 1.16E+24 100.00 0.315 0.769 13.185 103.0 2.43E+24 129.15 0.406 0.850 13.960 113.3 4.34E+24 166.81 0.525 0.913 15.606 124.7 7.37E+24 215.44 0.678 0.961 18.214 137.9 1.22E+25 278.26 0.875 0.998 21.777 152.7 1.98E+25 317.89 1.000 1.014 24.138 161.1 2.53E+25 359.38 1.131 1.026 26.612 169.2 3.15E+25 464.16 1.460 1.050 32.858 187.4 4.95E+25 599.48 1.886 1.066 41.151 206.4 7.52E+25 774.26 2.436 1.085 51.350 227.5 1.15E+26 1000.00 3.146 1.099 64.539 254.0 1.84E+26 1291.55 4.063 1.108 82.062 287.3 3.06E+26 1668.10 5.247 1.109 105.749 329.5 5.29E+26 2154.43 6.777 1.102 138.343 379.5 9.21E+26 2782.56 8.753 1.088 183.299 437.3 1.58E+27 3593.81 11.305 1.068 245.983 506.2 2.73E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.500 18.707 55.3 8.53E+22 77.43 0.244 0.640 14.765 67.4 3.08E+23 100.00 0.315 0.740 14.232 75.5 6.48E+23 129.15 0.406 0.818 15.054 83.6 1.19E+24 166.81 0.525 0.881 16.767 92.3 2.06E+24 215.44 0.678 0.929 19.482 101.7 3.37E+24 278.26 0.875 0.967 23.202 112.0 5.37E+24 317.89 1.000 0.983 25.677 117.8 6.80E+24 359.38 1.131 0.996 28.274 123.5 8.41E+24 464.16 1.460 1.019 34.840 136.2 1.30E+25 599.48 1.886 1.038 43.440 148.7 1.92E+25 774.26 2.436 1.056 54.179 164.6 2.98E+25 1000.00 3.146 1.069 68.221 185.6 4.95E+25 1291.55 4.063 1.077 86.924 210.7 8.34E+25 1668.10 5.247 1.076 112.342 239.6 1.39E+26 2154.43 6.777 1.067 147.591 273.6 2.33E+26 2782.56 8.753 1.051 196.456 314.5 3.94E+26 3593.81 11.305 1.029 264.798 365.1 6.86E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.489 19.544 40.0 2.24E+22 77.43 0.244 0.621 15.656 48.9 8.07E+22 100.00 0.315 0.717 15.159 55.4 1.77E+23 129.15 0.406 0.793 16.028 61.3 3.24E+23 166.81 0.525 0.854 17.821 67.3 5.45E+23 215.44 0.678 0.902 20.648 73.8 8.81E+23 278.26 0.875 0.941 24.526 81.0 1.39E+24 317.89 1.000 0.957 27.104 85.2 1.76E+24 359.38 1.131 0.970 29.812 89.3 2.18E+24 464.16 1.460 0.994 36.666 98.4 3.38E+24 599.48 1.886 1.013 45.540 107.6 5.04E+24 774.26 2.436 1.031 56.802 120.7 8.23E+24 1000.00 3.146 1.044 71.570 135.7 1.34E+25 1291.55 4.063 1.050 91.321 153.0 2.20E+25 1668.10 5.247 1.049 118.268 173.4 3.64E+25 2154.43 6.777 1.039 155.725 198.2 6.07E+25 2782.56 8.753 1.022 207.628 228.4 1.04E+26 3593.81 11.305 1.000 280.171 264.3 1.78E+26 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