Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models with 25 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 ---------------------------------------------------------- 27.83 0.088 0.589 6.268 342.7 1.74E+26 35.94 0.113 1.028 2.656 370.7 7.27E+26 46.42 0.146 1.296 2.157 394.0 1.48E+27 59.95 0.189 1.465 2.179 425.3 2.57E+27 77.43 0.244 1.558 2.491 468.2 4.25E+27 100.00 0.315 1.587 3.099 523.1 6.89E+27 129.15 0.406 1.573 4.072 592.4 1.11E+28 166.81 0.525 1.534 5.531 676.4 1.81E+28 215.44 0.678 1.515 7.327 772.2 2.98E+28 278.26 0.875 1.516 9.452 892.1 5.32E+28 317.89 1.000 1.523 10.700 960.6 7.21E+28 359.38 1.131 1.530 11.984 1028.4 9.55E+28 464.16 1.460 1.561 14.863 1151.8 1.57E+29 599.48 1.886 1.615 17.933 1268.3 2.46E+29 774.26 2.436 1.681 21.371 1402.6 3.99E+29 1000.00 3.146 1.767 24.996 1556.5 6.68E+29 1291.55 4.063 1.869 28.843 1706.2 1.08E+30 1668.10 5.247 1.983 33.108 1853.3 1.69E+30 2154.43 6.777 2.102 38.062 1990.8 2.53E+30 2782.56 8.753 2.211 44.423 2117.3 3.58E+30 3593.81 11.305 2.298 53.101 2235.5 4.81E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.517 8.119 268.6 5.08E+25 35.94 0.113 0.855 3.840 309.0 2.43E+26 46.42 0.146 1.075 3.132 329.6 4.98E+26 59.95 0.189 1.223 3.129 355.2 8.66E+26 77.43 0.244 1.316 3.490 389.3 1.45E+27 100.00 0.315 1.363 4.202 432.8 2.38E+27 129.15 0.406 1.378 5.308 480.8 3.71E+27 166.81 0.525 1.378 6.856 526.1 5.30E+27 215.44 0.678 1.374 8.902 584.3 8.04E+27 278.26 0.875 1.370 11.566 658.0 1.28E+28 317.89 1.000 1.371 13.203 701.7 1.67E+28 359.38 1.131 1.374 14.855 736.4 2.02E+28 464.16 1.460 1.394 18.630 835.4 3.46E+28 599.48 1.886 1.423 23.084 950.9 6.04E+28 774.26 2.436 1.460 28.340 1081.3 1.06E+29 1000.00 3.146 1.507 34.357 1224.6 1.86E+29 1291.55 4.063 1.565 41.154 1374.5 3.18E+29 1668.10 5.247 1.631 48.954 1546.0 5.54E+29 2154.43 6.777 1.709 57.550 1734.2 9.63E+29 2782.56 8.753 1.798 67.179 1918.2 1.59E+30 3593.81 11.305 1.890 78.483 2094.4 2.50E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.466 10.017 205.4 1.41E+25 35.94 0.113 0.726 5.316 247.9 7.26E+25 46.42 0.146 0.907 4.400 269.9 1.59E+26 59.95 0.189 1.036 4.355 292.2 2.85E+26 77.43 0.244 1.128 4.751 318.9 4.79E+26 100.00 0.315 1.188 5.528 345.8 7.36E+26 129.15 0.406 1.231 6.653 375.6 1.10E+27 166.81 0.525 1.253 8.288 413.1 1.67E+27 215.44 0.678 1.265 10.508 457.8 2.56E+27 278.26 0.875 1.272 13.420 506.4 3.88E+27 317.89 1.000 1.279 15.161 528.9 4.68E+27 359.38 1.131 1.286 16.960 553.2 5.65E+27 464.16 1.460 1.303 21.336 610.8 8.61E+27 599.48 1.886 1.321 26.807 683.0 1.39E+28 774.26 2.436 1.337 33.782 780.4 2.42E+28 1000.00 3.146 1.359 42.253 899.0 4.40E+28 1291.55 4.063 1.385 52.507 1035.3 8.04E+28 1668.10 5.247 1.414 65.087 1187.8 1.45E+29 2154.43 6.777 1.444 80.646 1363.7 2.63E+29 2782.56 8.753 1.485 98.486 1538.8 4.51E+29 3593.81 11.305 1.542 117.980 1735.5 7.86E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.430 11.717 149.6 3.39E+24 35.94 0.113 0.641 6.827 187.7 1.86E+25 46.42 0.146 0.789 5.820 209.9 4.41E+25 59.95 0.189 0.901 5.760 228.5 8.08E+25 77.43 0.244 0.988 6.187 247.6 1.34E+26 100.00 0.315 1.055 7.004 269.2 2.13E+26 129.15 0.406 1.109 8.190 294.1 3.36E+26 166.81 0.525 1.146 9.901 323.1 5.23E+26 215.44 0.678 1.171 12.253 355.7 8.01E+26 278.26 0.875 1.190 15.328 386.5 1.15E+27 317.89 1.000 1.201 17.197 404.6 1.41E+27 359.38 1.131 1.209 19.169 424.1 1.73E+27 464.16 1.460 1.227 24.037 470.8 2.70E+27 599.48 1.886 1.245 30.180 524.7 4.29E+27 774.26 2.436 1.257 38.222 588.2 6.89E+27 1000.00 3.146 1.268 48.491 666.4 1.16E+28 1291.55 4.063 1.277 61.755 764.5 2.04E+28 1668.10 5.247 1.280 79.385 891.5 3.78E+28 2154.43 6.777 1.293 100.518 1003.2 6.18E+28 2782.56 8.753 1.311 126.286 1151.5 1.10E+29 3593.81 11.305 1.331 158.350 1325.3 1.99E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.407 13.085 107.2 7.98E+23 35.94 0.113 0.586 8.160 137.5 4.48E+24 46.42 0.146 0.711 7.153 154.4 1.05E+25 59.95 0.189 0.810 7.125 170.1 2.00E+25 77.43 0.244 0.891 7.610 186.8 3.52E+25 100.00 0.315 0.957 8.514 205.0 5.90E+25 129.15 0.406 1.013 9.812 224.8 9.56E+25 166.81 0.525 1.055 11.681 247.0 1.51E+26 215.44 0.678 1.088 14.185 270.1 2.30E+26 278.26 0.875 1.117 17.383 295.6 3.48E+26 317.89 1.000 1.131 19.377 310.0 4.31E+26 359.38 1.131 1.142 21.502 324.6 5.28E+26 464.16 1.460 1.163 26.793 357.9 8.09E+26 599.48 1.886 1.181 33.527 395.2 1.24E+27 774.26 2.436 1.193 42.424 438.7 1.93E+27 1000.00 3.146 1.201 54.048 490.4 3.05E+27 1291.55 4.063 1.204 69.514 553.3 4.96E+27 1668.10 5.247 1.201 90.270 620.3 7.80E+27 2154.43 6.777 1.203 116.208 713.6 1.37E+28 2782.56 8.753 1.202 150.151 834.9 2.57E+28 3593.81 11.305 1.201 194.517 986.7 4.99E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.393 14.054 71.9 1.50E+23 35.94 0.113 0.551 9.246 99.2 1.07E+24 46.42 0.146 0.662 8.257 112.5 2.56E+24 59.95 0.189 0.751 8.298 123.9 4.84E+24 77.43 0.244 0.824 8.900 135.7 8.39E+24 100.00 0.315 0.885 9.954 149.1 1.41E+25 129.15 0.406 0.939 11.429 164.4 2.35E+25 166.81 0.525 0.982 13.486 181.6 3.83E+25 215.44 0.678 1.021 16.113 200.8 6.18E+25 278.26 0.875 1.055 19.520 221.9 9.83E+25 317.89 1.000 1.070 21.659 233.6 1.24E+26 359.38 1.131 1.082 23.940 245.2 1.54E+26 464.16 1.460 1.105 29.637 270.5 2.39E+26 599.48 1.886 1.126 36.896 297.7 3.63E+26 774.26 2.436 1.140 46.479 327.4 5.45E+26 1000.00 3.146 1.149 59.084 359.9 8.07E+26 1291.55 4.063 1.151 76.031 398.2 1.21E+27 1668.10 5.247 1.149 98.604 444.8 1.89E+27 2154.43 6.777 1.144 128.340 513.1 3.32E+27 2782.56 8.753 1.135 168.631 598.2 6.01E+27 3593.81 11.305 1.121 223.217 704.9 1.13E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.386 14.543 46.1 2.46E+22 35.94 0.113 0.529 10.013 66.2 1.97E+23 46.42 0.146 0.631 9.102 78.0 5.37E+23 59.95 0.189 0.712 9.220 87.7 1.09E+24 77.43 0.244 0.780 9.923 97.0 1.96E+24 100.00 0.315 0.837 11.122 106.9 3.34E+24 129.15 0.406 0.888 12.775 117.5 5.49E+24 166.81 0.525 0.932 14.995 128.6 8.65E+24 215.44 0.678 0.970 17.856 142.5 1.42E+25 278.26 0.875 1.003 21.590 159.3 2.36E+25 317.89 1.000 1.018 23.927 168.9 3.07E+25 359.38 1.131 1.030 26.417 178.3 3.91E+25 464.16 1.460 1.054 32.611 199.7 6.44E+25 599.48 1.886 1.075 40.463 223.2 1.04E+26 774.26 2.436 1.090 50.804 247.9 1.64E+26 1000.00 3.146 1.101 64.386 275.4 2.54E+26 1291.55 4.063 1.105 82.578 305.7 3.89E+26 1668.10 5.247 1.105 106.486 339.1 5.89E+26 2154.43 6.777 1.100 138.825 382.3 9.44E+26 2782.56 8.753 1.088 183.533 434.6 1.54E+27 3593.81 11.305 1.069 245.489 503.9 2.69E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.380 14.999 37.2 1.01E+22 35.94 0.113 0.518 10.451 44.7 3.91E+22 46.42 0.146 0.614 9.603 51.4 9.62E+22 59.95 0.189 0.691 9.800 57.7 1.94E+23 77.43 0.244 0.755 10.608 64.3 3.56E+23 100.00 0.315 0.808 11.946 71.9 6.35E+23 129.15 0.406 0.856 13.757 79.8 1.08E+24 166.81 0.525 0.898 16.152 89.3 1.87E+24 215.44 0.678 0.935 19.235 100.6 3.26E+24 278.26 0.875 0.966 23.251 112.3 5.40E+24 317.89 1.000 0.981 25.780 119.1 7.06E+24 359.38 1.131 0.992 28.491 125.9 9.01E+24 464.16 1.460 1.013 35.262 141.6 1.50E+25 599.48 1.886 1.032 43.874 159.3 2.50E+25 774.26 2.436 1.046 55.166 180.3 4.22E+25 1000.00 3.146 1.056 69.936 203.4 6.96E+25 1291.55 4.063 1.061 89.429 226.7 1.09E+26 1668.10 5.247 1.064 115.007 255.3 1.75E+26 2154.43 6.777 1.059 149.774 288.6 2.84E+26 2782.56 8.753 1.047 197.851 326.5 4.55E+26 3593.81 11.305 1.029 264.809 373.4 7.51E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.372 15.691 25.9 1.70E+20 35.94 0.113 0.508 10.871 35.8 1.55E+22 46.42 0.146 0.603 9.970 38.8 2.99E+22 59.95 0.189 0.678 10.163 40.9 4.70E+22 77.43 0.244 0.741 10.996 43.3 7.09E+22 100.00 0.315 0.794 12.388 46.4 1.07E+23 129.15 0.406 0.840 14.291 50.4 1.65E+23 166.81 0.525 0.879 16.859 56.8 2.95E+23 215.44 0.678 0.912 20.196 65.8 5.73E+23 278.26 0.875 0.941 24.516 75.6 1.06E+24 317.89 1.000 0.954 27.219 80.6 1.41E+24 359.38 1.131 0.965 30.108 85.7 1.84E+24 464.16 1.460 0.985 37.334 97.6 3.21E+24 599.48 1.886 1.002 46.540 111.0 5.56E+24 774.26 2.436 1.015 58.658 125.4 9.28E+24 1000.00 3.146 1.022 74.614 141.8 1.54E+25 1291.55 4.063 1.027 95.522 160.3 2.53E+25 1668.10 5.247 1.027 123.330 184.9 4.49E+25 2154.43 6.777 1.022 160.858 214.3 8.02E+25 2782.56 8.753 1.011 212.188 245.1 1.35E+26 3593.81 11.305 0.995 283.207 280.1 2.22E+26 ----------------------------------------------------------