Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models with 50 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 ---------------------------------------------------------- 59.95 0.189 0.707 9.346 467.0 8.68E+26 77.43 0.244 0.989 6.176 528.9 2.80E+27 100.00 0.315 1.162 5.782 579.3 5.55E+27 129.15 0.406 1.263 6.317 634.9 9.49E+27 166.81 0.525 1.328 7.383 715.8 1.70E+28 215.44 0.678 1.371 8.946 817.1 3.05E+28 278.26 0.875 1.412 10.895 935.3 5.57E+28 317.89 1.000 1.431 12.115 1003.8 7.59E+28 359.38 1.131 1.451 13.323 1064.3 9.87E+28 464.16 1.460 1.507 15.942 1173.6 1.57E+29 599.48 1.886 1.574 18.879 1288.6 2.49E+29 774.26 2.436 1.651 22.175 1424.7 4.10E+29 1000.00 3.146 1.743 25.680 1574.5 6.81E+29 1291.55 4.063 1.849 29.456 1720.9 1.09E+30 1668.10 5.247 1.968 33.603 1864.6 1.71E+30 2154.43 6.777 2.088 38.573 1999.8 2.54E+30 2782.56 8.753 2.198 44.928 2123.9 3.58E+30 3593.81 11.305 2.287 53.613 2240.5 4.80E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.642 11.347 365.9 2.70E+26 77.43 0.244 0.883 7.740 414.6 8.41E+26 100.00 0.315 1.038 7.239 457.2 1.72E+27 129.15 0.406 1.138 7.774 501.2 2.99E+27 166.81 0.525 1.206 8.949 547.8 4.78E+27 215.44 0.678 1.246 10.823 605.5 7.60E+27 278.26 0.875 1.276 13.338 676.9 1.25E+28 317.89 1.000 1.291 14.882 714.5 1.59E+28 359.38 1.131 1.307 16.412 755.6 2.04E+28 464.16 1.460 1.345 20.020 854.8 3.52E+28 599.48 1.886 1.385 24.386 970.7 6.22E+28 774.26 2.436 1.430 29.520 1098.6 1.09E+29 1000.00 3.146 1.484 35.411 1240.7 1.91E+29 1291.55 4.063 1.547 42.125 1388.7 3.25E+29 1668.10 5.247 1.617 49.790 1559.7 5.64E+29 2154.43 6.777 1.697 58.358 1745.9 9.75E+29 2782.56 8.753 1.788 67.886 1927.5 1.61E+30 3593.81 11.305 1.883 79.111 2099.9 2.51E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.587 13.596 281.8 7.91E+25 77.43 0.244 0.797 9.519 326.3 2.62E+26 100.00 0.315 0.939 8.849 358.3 5.30E+26 129.15 0.406 1.037 9.368 391.8 9.26E+26 166.81 0.525 1.107 10.617 430.1 1.53E+27 215.44 0.678 1.153 12.635 474.1 2.45E+27 278.26 0.875 1.191 15.300 515.0 3.64E+27 317.89 1.000 1.209 16.979 540.1 4.54E+27 359.38 1.131 1.225 18.698 565.2 5.59E+27 464.16 1.460 1.256 22.942 622.2 8.62E+27 599.48 1.886 1.283 28.396 696.1 1.41E+28 774.26 2.436 1.308 35.286 793.2 2.47E+28 1000.00 3.146 1.336 43.683 911.4 4.50E+28 1291.55 4.063 1.367 53.911 1047.1 8.19E+28 1668.10 5.247 1.400 66.380 1198.2 1.47E+29 2154.43 6.777 1.432 82.007 1372.2 2.65E+29 2782.56 8.753 1.476 99.617 1546.8 4.55E+29 3593.81 11.305 1.536 118.923 1742.8 7.93E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.544 15.776 209.9 2.10E+25 77.43 0.244 0.726 11.460 250.9 7.62E+25 100.00 0.315 0.854 10.685 278.0 1.59E+26 129.15 0.406 0.949 11.175 305.0 2.84E+26 166.81 0.525 1.022 12.454 334.2 4.75E+26 215.44 0.678 1.075 14.551 362.5 7.27E+26 278.26 0.875 1.119 17.349 394.0 1.10E+27 317.89 1.000 1.137 19.182 412.7 1.37E+27 359.38 1.131 1.153 21.079 432.3 1.70E+27 464.16 1.460 1.185 25.796 478.7 2.69E+27 599.48 1.886 1.210 31.957 532.5 4.30E+27 774.26 2.436 1.230 39.947 596.0 6.95E+27 1000.00 3.146 1.247 50.197 674.4 1.17E+28 1291.55 4.063 1.259 63.527 773.1 2.07E+28 1668.10 5.247 1.267 81.122 897.0 3.79E+28 2154.43 6.777 1.283 102.178 1009.9 6.24E+28 2782.56 8.753 1.303 127.880 1157.9 1.11E+29 3593.81 11.305 1.324 159.816 1331.3 2.01E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.514 17.702 149.5 4.81E+24 77.43 0.244 0.671 13.424 185.4 1.94E+25 100.00 0.315 0.788 12.577 209.9 4.39E+25 129.15 0.406 0.877 13.093 231.1 8.00E+25 166.81 0.525 0.950 14.427 251.9 1.32E+26 215.44 0.678 1.006 16.593 275.2 2.12E+26 278.26 0.875 1.054 19.552 300.9 3.32E+26 317.89 1.000 1.074 21.517 315.2 4.15E+26 359.38 1.131 1.091 23.565 329.6 5.12E+26 464.16 1.460 1.123 28.690 362.5 7.95E+26 599.48 1.886 1.149 35.442 399.9 1.23E+27 774.26 2.436 1.168 44.305 443.3 1.92E+27 1000.00 3.146 1.181 55.946 495.0 3.06E+27 1291.55 4.063 1.187 71.528 557.8 4.98E+27 1668.10 5.247 1.188 92.132 623.9 7.82E+27 2154.43 6.777 1.192 118.208 718.1 1.38E+28 2782.56 8.753 1.195 152.132 839.6 2.59E+28 3593.81 11.305 1.195 196.455 991.2 5.03E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.494 19.129 105.8 1.12E+24 77.43 0.244 0.634 15.043 131.1 4.32E+24 100.00 0.315 0.738 14.324 149.1 9.83E+24 129.15 0.406 0.821 14.933 166.1 1.87E+25 166.81 0.525 0.892 16.365 184.3 3.35E+25 215.44 0.678 0.949 18.679 205.1 5.80E+25 278.26 0.875 0.997 21.843 226.0 9.45E+25 317.89 1.000 1.018 23.946 237.8 1.21E+26 359.38 1.131 1.036 26.143 249.0 1.50E+26 464.16 1.460 1.069 31.656 273.8 2.34E+26 599.48 1.886 1.096 38.920 300.8 3.59E+26 774.26 2.436 1.116 48.469 330.2 5.40E+26 1000.00 3.146 1.130 61.099 362.4 8.03E+26 1291.55 4.063 1.135 78.174 400.5 1.21E+27 1668.10 5.247 1.137 100.611 447.6 1.90E+27 2154.43 6.777 1.135 130.551 516.2 3.34E+27 2782.56 8.753 1.127 170.888 601.1 6.05E+27 3593.81 11.305 1.115 225.477 707.9 1.14E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.482 20.113 70.7 2.12E+23 77.43 0.244 0.610 16.237 91.4 9.47E+23 100.00 0.315 0.706 15.651 105.4 2.24E+24 129.15 0.406 0.784 16.397 117.7 4.30E+24 166.81 0.525 0.850 18.014 130.9 7.73E+24 215.44 0.678 0.904 20.585 145.6 1.34E+25 278.26 0.875 0.950 24.075 162.4 2.29E+25 317.89 1.000 0.970 26.379 172.0 3.00E+25 359.38 1.131 0.987 28.774 181.3 3.84E+25 464.16 1.460 1.021 34.759 202.3 6.37E+25 599.48 1.886 1.048 42.611 225.5 1.03E+26 774.26 2.436 1.068 52.910 250.0 1.62E+26 1000.00 3.146 1.083 66.516 277.4 2.53E+26 1291.55 4.063 1.090 84.769 306.7 3.84E+26 1668.10 5.247 1.095 108.592 340.9 5.90E+26 2154.43 6.777 1.091 141.177 384.2 9.46E+26 2782.56 8.753 1.080 185.960 436.3 1.54E+27 3593.81 11.305 1.063 247.975 505.6 2.70E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.476 20.626 46.8 3.97E+22 77.43 0.244 0.597 16.961 58.5 1.53E+23 100.00 0.315 0.686 16.561 70.6 4.27E+23 129.15 0.406 0.759 17.485 80.0 8.63E+23 166.81 0.525 0.821 19.293 90.8 1.67E+24 215.44 0.678 0.872 22.084 102.5 3.06E+24 278.26 0.875 0.916 25.866 114.2 5.20E+24 317.89 1.000 0.935 28.370 121.1 6.85E+24 359.38 1.131 0.951 30.987 127.8 8.80E+24 464.16 1.460 0.982 37.541 143.3 1.48E+25 599.48 1.886 1.007 46.149 161.1 2.49E+25 774.26 2.436 1.026 57.393 182.0 4.21E+25 1000.00 3.146 1.040 72.186 205.0 6.95E+25 1291.55 4.063 1.048 91.681 228.0 1.08E+26 1668.10 5.247 1.054 117.215 256.6 1.76E+26 2154.43 6.777 1.051 152.235 289.8 2.84E+26 2782.56 8.753 1.041 200.389 327.5 4.55E+26 3593.81 11.305 1.024 267.424 374.4 7.51E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 0.470 21.139 36.4 1.41E+22 77.43 0.244 0.589 17.385 42.7 4.21E+22 100.00 0.315 0.677 17.025 45.8 7.36E+22 129.15 0.406 0.746 18.084 51.0 1.38E+23 166.81 0.525 0.805 20.089 57.6 2.60E+23 215.44 0.678 0.852 23.137 66.9 5.36E+23 278.26 0.875 0.893 27.220 76.9 1.02E+24 317.89 1.000 0.911 29.901 82.0 1.37E+24 359.38 1.131 0.926 32.696 87.0 1.80E+24 464.16 1.460 0.955 39.701 98.8 3.17E+24 599.48 1.886 0.978 48.905 112.1 5.50E+24 774.26 2.436 0.995 60.979 126.4 9.20E+24 1000.00 3.146 1.007 76.965 142.8 1.53E+25 1291.55 4.063 1.015 97.879 161.3 2.54E+25 1668.10 5.247 1.018 125.642 186.0 4.51E+25 2154.43 6.777 1.014 163.415 215.2 8.04E+25 2782.56 8.753 1.005 214.817 245.9 1.35E+26 3593.81 11.305 0.990 285.911 280.8 2.22E+26 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