Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models without 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 ---------------------------------------------------------- 21.54 0.068 11.401 0.013 57.1 5.04E+25 27.83 0.088 11.071 0.018 72.4 1.24E+26 35.94 0.113 9.849 0.029 95.6 2.97E+26 46.42 0.146 8.189 0.054 127.1 6.40E+26 59.95 0.189 6.324 0.118 183.6 1.65E+27 77.43 0.244 4.113 0.358 322.0 6.62E+27 100.00 0.315 3.056 0.838 373.2 6.63E+27 129.15 0.406 2.588 1.505 449.3 9.95E+27 166.81 0.525 2.178 2.745 573.0 1.87E+28 215.44 0.678 1.900 4.660 684.9 2.92E+28 278.26 0.875 1.801 6.697 773.1 4.24E+28 317.89 1.000 1.776 7.865 829.5 5.47E+28 359.38 1.131 1.762 9.034 884.3 6.95E+28 464.16 1.460 1.751 11.816 1008.3 1.15E+29 599.48 1.886 1.759 15.124 1149.0 1.97E+29 774.26 2.436 1.781 19.051 1304.7 3.36E+29 1000.00 3.146 1.813 23.750 1475.9 5.69E+29 1291.55 4.063 1.849 29.480 1664.6 9.57E+29 1668.10 5.247 1.885 36.631 1874.0 1.60E+30 2154.43 6.777 1.928 45.228 2047.5 2.38E+30 2782.56 8.753 1.990 54.804 2209.8 3.44E+30 3593.81 11.305 2.060 66.086 2396.7 5.11E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 9.712 0.014 42.3 1.11E+25 21.54 0.068 9.405 0.019 53.6 2.65E+25 27.83 0.088 8.680 0.029 68.1 5.92E+25 35.94 0.113 7.196 0.055 92.6 1.39E+26 46.42 0.146 5.442 0.123 136.2 3.71E+26 59.95 0.189 3.300 0.430 247.2 1.48E+27 77.43 0.244 2.603 0.892 271.1 1.33E+27 100.00 0.315 2.323 1.447 319.2 2.04E+27 129.15 0.406 2.060 2.375 394.3 3.74E+27 166.81 0.525 1.796 4.034 490.5 6.81E+27 215.44 0.678 1.670 6.027 541.1 8.73E+27 278.26 0.875 1.617 8.306 610.7 1.33E+28 317.89 1.000 1.600 9.693 649.6 1.67E+28 359.38 1.131 1.587 11.125 686.8 2.04E+28 464.16 1.460 1.572 14.651 775.4 3.26E+28 599.48 1.886 1.562 19.160 886.9 5.52E+28 774.26 2.436 1.560 24.826 1021.8 9.68E+28 1000.00 3.146 1.562 31.982 1180.4 1.73E+29 1291.55 4.063 1.566 41.086 1355.8 3.02E+29 1668.10 5.247 1.598 50.993 1484.5 4.52E+29 2154.43 6.777 1.646 62.008 1651.4 7.34E+29 2782.56 8.753 1.704 74.725 1829.6 1.19E+30 3593.81 11.305 1.766 89.938 2024.5 1.91E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 8.365 0.014 31.9 2.69E+24 16.68 0.052 8.027 0.020 39.2 5.59E+24 21.54 0.068 7.274 0.032 50.4 1.26E+25 27.83 0.088 6.187 0.057 68.7 3.10E+25 35.94 0.113 4.682 0.129 102.4 8.76E+25 46.42 0.146 2.715 0.493 183.9 3.09E+26 59.95 0.189 2.202 0.966 201.3 2.91E+26 77.43 0.244 2.015 1.489 234.5 4.49E+26 100.00 0.315 1.869 2.234 276.7 7.47E+26 129.15 0.406 1.703 3.474 332.6 1.30E+27 166.81 0.525 1.574 5.253 370.0 1.69E+27 215.44 0.678 1.511 7.364 414.8 2.47E+27 278.26 0.875 1.471 10.028 470.1 3.85E+27 317.89 1.000 1.459 11.653 504.0 5.03E+27 359.38 1.131 1.450 13.340 535.5 6.30E+27 464.16 1.460 1.438 17.520 606.4 1.02E+28 599.48 1.886 1.427 22.960 687.2 1.66E+28 774.26 2.436 1.416 30.119 779.7 2.70E+28 1000.00 3.146 1.405 39.498 889.3 4.51E+28 1291.55 4.063 1.415 50.345 969.0 6.45E+28 1668.10 5.247 1.437 63.041 1094.5 1.08E+29 2154.43 6.777 1.462 78.609 1252.1 1.92E+29 2782.56 8.753 1.491 97.654 1434.8 3.43E+29 3593.81 11.305 1.523 120.874 1642.0 6.14E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 7.092 0.016 24.7 6.87E+23 12.92 0.041 6.855 0.021 28.3 1.11E+24 16.68 0.052 6.147 0.035 37.0 2.58E+24 21.54 0.068 5.226 0.062 50.4 6.40E+24 27.83 0.088 3.922 0.142 77.1 1.97E+25 35.94 0.113 2.290 0.536 132.9 6.01E+25 46.42 0.146 1.910 0.994 145.6 6.00E+25 59.95 0.189 1.758 1.514 167.2 8.83E+25 77.43 0.244 1.654 2.210 193.2 1.39E+26 100.00 0.315 1.558 3.216 224.7 2.26E+26 129.15 0.406 1.469 4.670 250.3 3.10E+26 166.81 0.525 1.424 6.418 279.3 4.52E+26 215.44 0.678 1.389 8.711 321.2 7.51E+26 278.26 0.875 1.362 11.698 365.6 1.21E+27 317.89 1.000 1.354 13.526 388.9 1.53E+27 359.38 1.131 1.348 15.427 410.3 1.88E+27 464.16 1.460 1.341 20.147 457.3 2.87E+27 599.48 1.886 1.333 26.312 509.4 4.37E+27 774.26 2.436 1.323 34.491 569.9 6.75E+27 1000.00 3.146 1.318 44.920 623.5 9.59E+27 1291.55 4.063 1.327 57.225 696.2 1.51E+28 1668.10 5.247 1.337 72.818 801.0 2.68E+28 2154.43 6.777 1.346 92.829 925.6 4.85E+28 2782.56 8.753 1.351 118.853 1071.7 8.80E+28 3593.81 11.305 1.354 152.895 1251.2 1.64E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 5.343 0.027 24.0 3.47E+23 12.92 0.041 5.153 0.038 28.1 6.06E+23 16.68 0.052 4.472 0.065 36.1 1.24E+24 21.54 0.068 3.291 0.155 57.0 4.16E+24 27.83 0.088 1.980 0.555 93.3 1.09E+25 35.94 0.113 1.690 0.982 102.1 1.13E+25 46.42 0.146 1.562 1.485 116.6 1.64E+25 59.95 0.189 1.477 2.145 134.3 2.60E+25 77.43 0.244 1.411 3.035 154.1 4.11E+25 100.00 0.315 1.353 4.261 172.2 5.89E+25 129.15 0.406 1.331 5.688 187.7 8.03E+25 166.81 0.525 1.316 7.520 211.9 1.28E+26 215.44 0.678 1.298 9.976 240.2 2.05E+26 278.26 0.875 1.280 13.256 271.2 3.24E+26 317.89 1.000 1.273 15.311 287.9 4.06E+26 359.38 1.131 1.269 17.423 304.7 5.07E+26 464.16 1.460 1.263 22.711 341.4 7.89E+26 599.48 1.886 1.258 29.537 383.1 1.25E+27 774.26 2.436 1.251 38.594 429.4 1.94E+27 1000.00 3.146 1.253 49.663 471.5 2.84E+27 1291.55 4.063 1.262 63.278 532.3 4.66E+27 1668.10 5.247 1.267 81.009 600.5 7.61E+27 2154.43 6.777 1.267 104.772 676.8 1.23E+28 2782.56 8.753 1.258 137.141 781.8 2.16E+28 3593.81 11.305 1.244 181.269 925.3 4.15E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 3.695 0.057 24.3 1.74E+23 12.92 0.041 3.413 0.087 30.6 3.74E+23 16.68 0.052 2.712 0.178 45.0 1.10E+24 21.54 0.068 1.734 0.559 65.7 2.05E+24 27.83 0.088 1.508 0.956 71.8 2.21E+24 35.94 0.113 1.405 1.420 82.2 3.29E+24 46.42 0.146 1.337 2.025 94.3 5.18E+24 59.95 0.189 1.288 2.821 107.3 8.00E+24 77.43 0.244 1.249 3.871 120.9 1.22E+25 100.00 0.315 1.236 5.106 128.6 1.52E+25 129.15 0.406 1.236 6.591 141.8 2.26E+25 166.81 0.525 1.234 8.548 157.7 3.43E+25 215.44 0.678 1.225 11.199 176.2 5.28E+25 278.26 0.875 1.215 14.715 198.8 8.41E+25 317.89 1.000 1.210 16.942 212.1 1.08E+26 359.38 1.131 1.207 19.256 224.5 1.35E+26 464.16 1.460 1.203 25.010 252.5 2.15E+26 599.48 1.886 1.200 32.452 282.8 3.37E+26 774.26 2.436 1.196 42.192 312.5 4.99E+26 1000.00 3.146 1.203 53.932 347.5 7.69E+26 1291.55 4.063 1.208 69.048 391.3 1.25E+27 1668.10 5.247 1.208 89.207 443.7 2.07E+27 2154.43 6.777 1.201 116.576 513.1 3.66E+27 2782.56 8.753 1.187 154.052 596.3 6.50E+27 3593.81 11.305 1.167 205.840 694.3 1.16E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 2.361 0.141 26.7 1.03E+23 12.92 0.041 1.951 0.265 37.9 2.87E+23 16.68 0.052 1.490 0.586 46.9 3.91E+23 21.54 0.068 1.345 0.929 51.4 4.62E+23 27.83 0.088 1.271 1.344 58.1 6.74E+23 35.94 0.113 1.220 1.883 65.8 1.02E+24 46.42 0.146 1.183 2.589 74.1 1.54E+24 59.95 0.189 1.155 3.508 82.8 2.29E+24 77.43 0.244 1.144 4.618 88.6 2.95E+24 100.00 0.315 1.154 5.856 95.7 4.07E+24 129.15 0.406 1.163 7.443 105.2 6.06E+24 166.81 0.525 1.168 9.540 117.3 9.46E+24 215.44 0.678 1.167 12.345 131.8 1.50E+25 278.26 0.875 1.162 16.067 148.2 2.38E+25 317.89 1.000 1.160 18.424 157.3 3.01E+25 359.38 1.131 1.159 20.880 166.2 3.74E+25 464.16 1.460 1.157 27.036 185.3 5.76E+25 599.48 1.886 1.156 34.999 206.6 8.87E+25 774.26 2.436 1.156 45.180 226.2 1.28E+26 1000.00 3.146 1.162 57.773 250.6 1.94E+26 1291.55 4.063 1.164 74.353 284.5 3.25E+26 1668.10 5.247 1.160 96.711 327.3 5.65E+26 2154.43 6.777 1.149 127.299 377.5 9.77E+26 2782.56 8.753 1.131 169.576 436.2 1.69E+27 3593.81 11.305 1.107 228.732 505.7 2.93E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.349 0.429 33.0 7.92E+22 12.92 0.041 1.224 0.672 34.9 8.14E+22 16.68 0.052 1.174 0.945 38.1 1.06E+23 21.54 0.068 1.138 1.298 42.0 1.48E+23 27.83 0.088 1.109 1.766 46.6 2.12E+23 35.94 0.113 1.085 2.381 51.7 3.06E+23 46.42 0.146 1.068 3.177 57.1 4.42E+23 59.95 0.189 1.057 4.183 62.0 6.04E+23 77.43 0.244 1.068 5.291 65.6 7.72E+23 100.00 0.315 1.086 6.610 71.7 1.14E+24 129.15 0.406 1.102 8.291 79.2 1.75E+24 166.81 0.525 1.113 10.499 87.8 2.69E+24 215.44 0.678 1.119 13.430 97.8 4.17E+24 278.26 0.875 1.119 17.337 108.9 6.43E+24 317.89 1.000 1.119 19.819 115.3 8.07E+24 359.38 1.131 1.118 22.414 121.3 9.89E+24 464.16 1.460 1.119 28.935 135.0 1.51E+25 599.48 1.886 1.118 37.380 150.1 2.31E+25 774.26 2.436 1.122 47.984 164.6 3.37E+25 1000.00 3.146 1.127 61.402 186.2 5.58E+25 1291.55 4.063 1.128 79.166 211.3 9.27E+25 1668.10 5.247 1.122 103.278 239.7 1.52E+26 2154.43 6.777 1.109 136.534 273.2 2.51E+26 2782.56 8.753 1.089 182.956 314.2 4.22E+26 3593.81 11.305 1.063 247.997 365.4 7.37E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 0.971 0.827 25.9 1.55E+22 12.92 0.041 0.973 1.065 28.3 2.23E+22 16.68 0.052 0.976 1.367 31.2 3.31E+22 21.54 0.068 0.976 1.765 34.5 4.90E+22 27.83 0.088 0.974 2.286 37.9 7.15E+22 35.94 0.113 0.974 2.959 41.5 1.03E+23 46.42 0.146 0.974 3.816 45.1 1.43E+23 59.95 0.189 0.986 4.814 47.3 1.78E+23 77.43 0.244 1.007 5.955 50.9 2.49E+23 100.00 0.315 1.029 7.362 55.2 3.60E+23 129.15 0.406 1.050 9.142 60.1 5.24E+23 166.81 0.525 1.066 11.449 65.6 7.67E+23 215.44 0.678 1.076 14.507 72.0 1.14E+24 278.26 0.875 1.081 18.571 79.7 1.72E+24 317.89 1.000 1.082 21.165 84.3 2.16E+24 359.38 1.131 1.083 23.886 88.7 2.65E+24 464.16 1.460 1.085 30.740 98.6 4.05E+24 599.48 1.886 1.086 39.616 109.5 6.20E+24 774.26 2.436 1.093 50.599 121.0 9.34E+24 1000.00 3.146 1.097 64.779 136.3 1.52E+25 1291.55 4.063 1.097 83.669 154.0 2.47E+25 1668.10 5.247 1.091 109.405 174.9 4.07E+25 2154.43 6.777 1.076 145.033 200.3 6.80E+25 2782.56 8.753 1.056 194.662 231.6 1.17E+26 3593.81 11.305 1.030 264.118 268.1 2.00E+26 ----------------------------------------------------------