Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models with 10 Earth mass heavy elements cores at 0.100 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 1.651 0.478 165.6 7.50E+25 21.54 0.068 1.888 0.472 177.0 1.29E+26 27.83 0.088 2.041 0.522 198.5 2.36E+26 35.94 0.113 2.242 0.558 232.0 5.31E+26 46.42 0.146 2.340 0.663 268.5 1.04E+27 59.95 0.189 2.336 0.858 315.5 1.98E+27 77.43 0.244 2.291 1.151 373.2 3.71E+27 100.00 0.315 2.156 1.680 440.6 6.40E+27 129.15 0.406 1.951 2.648 533.0 1.12E+28 166.81 0.525 1.755 4.226 638.2 1.87E+28 215.44 0.678 1.673 6.007 708.5 2.59E+28 278.26 0.875 1.637 8.101 812.6 4.26E+28 317.89 1.000 1.631 9.328 873.0 5.63E+28 359.38 1.131 1.631 10.545 931.2 7.31E+28 464.16 1.460 1.639 13.482 1062.1 1.25E+29 599.48 1.886 1.661 16.960 1208.4 2.15E+29 774.26 2.436 1.695 21.026 1372.2 3.72E+29 1000.00 3.146 1.739 25.794 1550.6 6.37E+29 1291.55 4.063 1.788 31.513 1742.8 1.07E+30 1668.10 5.247 1.835 38.672 1953.6 1.79E+30 2154.43 6.777 1.886 47.250 2105.9 2.55E+30 2782.56 8.753 1.948 57.180 2266.9 3.65E+30 3593.81 11.305 2.017 68.920 2452.6 5.37E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 1.447 0.623 152.6 4.15E+25 21.54 0.068 1.670 0.603 162.6 7.11E+25 27.83 0.088 1.800 0.671 179.7 1.24E+26 35.94 0.113 1.901 0.776 208.3 2.48E+26 46.42 0.146 1.937 0.966 240.0 4.53E+26 59.95 0.189 1.923 1.267 276.5 7.90E+26 77.43 0.244 1.864 1.738 322.7 1.37E+27 100.00 0.315 1.764 2.507 382.3 2.42E+27 129.15 0.406 1.627 3.806 458.7 4.28E+27 166.81 0.525 1.544 5.460 501.2 5.51E+27 215.44 0.678 1.510 7.371 563.5 8.39E+27 278.26 0.875 1.492 9.756 630.3 1.28E+28 317.89 1.000 1.487 11.216 665.6 1.59E+28 359.38 1.131 1.485 12.717 700.0 1.93E+28 464.16 1.460 1.482 16.493 788.7 3.11E+28 599.48 1.886 1.482 21.293 904.4 5.38E+28 774.26 2.436 1.487 27.328 1045.2 9.65E+28 1000.00 3.146 1.495 34.907 1213.6 1.77E+29 1291.55 4.063 1.511 44.135 1369.7 2.93E+29 1668.10 5.247 1.552 54.063 1520.1 4.69E+29 2154.43 6.777 1.603 65.391 1693.2 7.71E+29 2782.56 8.753 1.661 78.708 1874.1 1.24E+30 3593.81 11.305 1.721 94.627 2073.0 2.00E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 1.214 0.883 132.7 1.67E+25 21.54 0.068 1.411 0.845 143.5 3.09E+25 27.83 0.088 1.522 0.937 158.4 5.32E+25 35.94 0.113 1.587 1.114 178.7 9.38E+25 46.42 0.146 1.600 1.416 203.7 1.61E+26 59.95 0.189 1.583 1.867 234.8 2.79E+26 77.43 0.244 1.542 2.539 272.3 4.77E+26 100.00 0.315 1.479 3.566 316.3 7.98E+26 129.15 0.406 1.423 4.976 344.2 1.04E+27 166.81 0.525 1.401 6.628 382.1 1.53E+27 215.44 0.678 1.383 8.790 430.1 2.39E+27 278.26 0.875 1.370 11.569 488.1 3.89E+27 317.89 1.000 1.367 13.268 521.3 5.05E+27 359.38 1.131 1.367 15.013 552.4 6.34E+27 464.16 1.460 1.367 19.369 622.7 1.03E+28 599.48 1.886 1.368 24.992 700.8 1.64E+28 774.26 2.436 1.367 32.316 791.5 2.68E+28 1000.00 3.146 1.366 41.830 885.8 4.19E+28 1291.55 4.063 1.383 52.674 963.9 6.02E+28 1668.10 5.247 1.403 66.096 1074.5 9.56E+28 2154.43 6.777 1.424 82.848 1259.2 1.87E+29 2782.56 8.753 1.451 103.159 1464.8 3.53E+29 3593.81 11.305 1.482 127.680 1679.5 6.38E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.745 1.818 107.4 2.69E+24 16.68 0.052 1.022 1.246 111.3 5.86E+24 21.54 0.068 1.185 1.198 119.7 1.05E+25 27.83 0.088 1.279 1.329 132.8 1.86E+25 35.94 0.113 1.329 1.588 149.6 3.24E+25 46.42 0.146 1.346 2.000 169.1 5.41E+25 59.95 0.189 1.342 2.599 191.0 8.74E+25 77.43 0.244 1.321 3.463 216.4 1.40E+26 100.00 0.315 1.300 4.618 234.5 1.87E+26 129.15 0.406 1.298 5.984 254.2 2.57E+26 166.81 0.525 1.294 7.771 285.3 4.06E+26 215.44 0.678 1.286 10.155 325.4 6.78E+26 278.26 0.875 1.279 13.267 369.8 1.12E+27 317.89 1.000 1.277 15.198 393.4 1.42E+27 359.38 1.131 1.278 17.170 416.3 1.79E+27 464.16 1.460 1.279 22.151 466.6 2.83E+27 599.48 1.886 1.279 28.587 522.4 4.44E+27 774.26 2.436 1.276 37.097 587.2 7.05E+27 1000.00 3.146 1.280 47.639 642.2 1.01E+28 1291.55 4.063 1.294 60.195 727.3 1.71E+28 1668.10 5.247 1.308 76.108 829.0 2.95E+28 2154.43 6.777 1.318 96.713 943.3 5.03E+28 2782.56 8.753 1.323 123.936 1072.7 8.45E+28 3593.81 11.305 1.323 160.253 1242.0 1.52E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.637 2.484 86.2 8.18E+23 16.68 0.052 0.866 1.736 91.8 1.94E+24 21.54 0.068 1.007 1.659 99.5 3.63E+24 27.83 0.088 1.092 1.820 109.0 6.14E+24 35.94 0.113 1.141 2.152 120.4 9.98E+24 46.42 0.146 1.164 2.675 134.0 1.59E+25 59.95 0.189 1.171 3.412 149.3 2.49E+25 77.43 0.244 1.172 4.394 161.5 3.42E+25 100.00 0.315 1.189 5.519 173.9 4.73E+25 129.15 0.406 1.203 6.965 193.4 7.41E+25 166.81 0.525 1.211 8.873 216.3 1.17E+26 215.44 0.678 1.214 11.408 242.6 1.86E+26 278.26 0.875 1.212 14.784 271.5 2.92E+26 317.89 1.000 1.211 16.903 287.4 3.65E+26 359.38 1.131 1.212 19.088 302.8 4.51E+26 464.16 1.460 1.213 24.611 338.7 7.07E+26 599.48 1.886 1.214 31.741 378.4 1.10E+27 774.26 2.436 1.212 41.128 420.6 1.68E+27 1000.00 3.146 1.220 52.432 469.8 2.65E+27 1291.55 4.063 1.229 66.705 535.9 4.55E+27 1668.10 5.247 1.235 85.380 611.0 7.76E+27 2154.43 6.777 1.235 110.276 697.4 1.32E+28 2782.56 8.753 1.228 143.917 811.6 2.39E+28 3593.81 11.305 1.216 189.560 951.8 4.43E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.559 3.226 68.0 2.44E+23 16.68 0.052 0.751 2.310 73.3 5.94E+23 21.54 0.068 0.872 2.209 79.1 1.09E+24 27.83 0.088 0.951 2.403 86.7 1.87E+24 35.94 0.113 1.000 2.802 95.4 3.03E+24 46.42 0.146 1.030 3.412 105.3 4.78E+24 59.95 0.189 1.051 4.235 113.8 6.78E+24 77.43 0.244 1.080 5.181 121.1 9.15E+24 100.00 0.315 1.109 6.341 132.4 1.38E+25 129.15 0.406 1.131 7.875 145.7 2.11E+25 166.81 0.525 1.146 9.909 160.7 3.19E+25 215.44 0.678 1.154 12.620 178.4 4.92E+25 278.26 0.875 1.157 16.227 199.3 7.69E+25 317.89 1.000 1.158 18.496 211.9 9.88E+25 359.38 1.131 1.160 20.851 223.7 1.23E+26 464.16 1.460 1.162 26.815 250.3 1.93E+26 599.48 1.886 1.164 34.509 279.9 3.04E+26 774.26 2.436 1.166 44.414 307.8 4.47E+26 1000.00 3.146 1.175 56.529 345.0 7.14E+26 1291.55 4.063 1.180 72.313 388.2 1.15E+27 1668.10 5.247 1.180 93.506 439.9 1.90E+27 2154.43 6.777 1.172 122.328 510.8 3.42E+27 2782.56 8.753 1.158 161.744 598.0 6.27E+27 3593.81 11.305 1.139 216.146 700.5 1.14E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.504 3.967 51.2 6.36E+22 16.68 0.052 0.665 2.942 56.9 1.69E+23 21.54 0.068 0.773 2.815 62.0 3.22E+23 27.83 0.088 0.847 3.029 67.7 5.48E+23 35.94 0.113 0.898 3.475 73.9 8.76E+23 46.42 0.146 0.934 4.147 79.7 1.28E+24 59.95 0.189 0.974 4.934 84.0 1.73E+24 77.43 0.244 1.012 5.903 90.6 2.51E+24 100.00 0.315 1.046 7.134 98.5 3.75E+24 129.15 0.406 1.072 8.767 107.9 5.71E+24 166.81 0.525 1.092 10.918 119.5 8.88E+24 215.44 0.678 1.105 13.773 133.1 1.40E+25 278.26 0.875 1.112 17.569 148.7 2.21E+25 317.89 1.000 1.114 19.969 157.3 2.77E+25 359.38 1.131 1.117 22.455 165.7 3.44E+25 464.16 1.460 1.122 28.778 184.6 5.33E+25 599.48 1.886 1.125 36.961 205.4 8.22E+25 774.26 2.436 1.130 47.278 224.5 1.19E+26 1000.00 3.146 1.138 60.272 249.7 1.84E+26 1291.55 4.063 1.141 77.449 282.3 3.02E+26 1668.10 5.247 1.137 100.704 324.8 5.26E+26 2154.43 6.777 1.126 132.573 374.3 9.07E+26 2782.56 8.753 1.109 176.587 432.8 1.58E+27 3593.81 11.305 1.085 238.177 501.4 2.72E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.470 4.566 36.8 1.47E+22 16.68 0.052 0.606 3.542 42.6 4.40E+22 21.54 0.068 0.703 3.403 46.7 8.55E+22 27.83 0.088 0.773 3.634 50.7 1.45E+23 35.94 0.113 0.826 4.112 54.5 2.19E+23 46.42 0.146 0.873 4.757 57.5 3.03E+23 59.95 0.189 0.917 5.568 61.8 4.46E+23 77.43 0.244 0.956 6.604 67.2 6.80E+23 100.00 0.315 0.992 7.924 73.5 1.05E+24 129.15 0.406 1.022 9.655 80.7 1.62E+24 166.81 0.525 1.045 11.911 89.0 2.49E+24 215.44 0.678 1.062 14.889 98.4 3.86E+24 278.26 0.875 1.073 18.856 109.2 5.98E+24 317.89 1.000 1.077 21.372 115.3 7.49E+24 359.38 1.131 1.081 23.988 121.2 9.22E+24 464.16 1.460 1.087 30.658 134.6 1.41E+25 599.48 1.886 1.091 39.296 149.5 2.17E+25 774.26 2.436 1.099 50.016 163.5 3.15E+25 1000.00 3.146 1.106 63.823 184.7 5.20E+25 1291.55 4.063 1.108 82.141 209.5 8.64E+25 1668.10 5.247 1.102 107.075 238.0 1.42E+26 2154.43 6.777 1.090 141.440 271.4 2.35E+26 2782.56 8.753 1.071 189.329 311.7 3.95E+26 3593.81 11.305 1.046 256.428 361.9 6.86E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.445 5.090 27.1 3.90E+21 16.68 0.052 0.565 4.080 31.6 1.16E+22 21.54 0.068 0.654 3.925 34.6 2.24E+22 27.83 0.088 0.723 4.151 36.9 3.55E+22 35.94 0.113 0.781 4.601 39.0 5.17E+22 46.42 0.146 0.830 5.253 41.8 7.70E+22 59.95 0.189 0.875 6.106 45.3 1.18E+23 77.43 0.244 0.915 7.215 49.3 1.81E+23 100.00 0.315 0.951 8.629 53.8 2.77E+23 129.15 0.406 0.981 10.469 59.0 4.24E+23 166.81 0.525 1.007 12.839 64.8 6.53E+23 215.44 0.678 1.026 15.951 71.5 1.00E+24 278.26 0.875 1.040 20.084 79.3 1.56E+24 317.89 1.000 1.045 22.713 83.7 1.95E+24 359.38 1.131 1.050 25.449 88.1 2.42E+24 464.16 1.460 1.057 32.438 97.9 3.74E+24 599.48 1.886 1.062 41.461 107.7 5.54E+24 774.26 2.436 1.072 52.604 120.0 8.68E+24 1000.00 3.146 1.078 67.140 135.3 1.42E+25 1291.55 4.063 1.079 86.519 152.8 2.32E+25 1668.10 5.247 1.073 112.997 173.3 3.80E+25 2154.43 6.777 1.060 149.584 198.3 6.34E+25 2782.56 8.753 1.040 200.509 228.7 1.08E+26 3593.81 11.305 1.016 271.767 264.8 1.85E+26 ----------------------------------------------------------