Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models with 25 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 ---------------------------------------------------------- 27.83 0.088 0.606 5.909 325.5 1.51E+26 35.94 0.113 1.093 2.347 360.4 7.36E+26 46.42 0.146 1.390 1.875 384.6 1.55E+27 59.95 0.189 1.563 1.917 419.0 2.75E+27 77.43 0.244 1.639 2.249 465.0 4.58E+27 100.00 0.315 1.636 2.917 526.2 7.48E+27 129.15 0.406 1.587 4.002 603.3 1.22E+28 166.81 0.525 1.554 5.389 653.9 1.62E+28 215.44 0.678 1.544 7.047 740.1 2.61E+28 278.26 0.875 1.554 8.996 849.7 4.60E+28 317.89 1.000 1.565 10.129 910.9 6.15E+28 359.38 1.131 1.576 11.284 971.1 8.06E+28 464.16 1.460 1.612 13.936 1106.9 1.42E+29 599.48 1.886 1.664 16.883 1249.5 2.46E+29 774.26 2.436 1.729 20.199 1403.3 4.23E+29 1000.00 3.146 1.807 23.902 1558.7 7.03E+29 1291.55 4.063 1.888 28.266 1717.3 1.13E+30 1668.10 5.247 1.964 33.761 1889.3 1.79E+30 2154.43 6.777 2.024 41.028 2064.3 2.71E+30 2782.56 8.753 2.086 49.923 2186.0 3.62E+30 3593.81 11.305 2.153 60.499 2327.6 4.96E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.547 7.245 242.0 3.76E+25 35.94 0.113 0.906 3.418 296.3 2.31E+26 46.42 0.146 1.143 2.773 316.7 4.79E+26 59.95 0.189 1.284 2.837 345.4 8.56E+26 77.43 0.244 1.357 3.282 384.3 1.47E+27 100.00 0.315 1.376 4.122 431.6 2.40E+27 129.15 0.406 1.386 5.243 469.0 3.39E+27 166.81 0.525 1.394 6.699 524.2 5.36E+27 215.44 0.678 1.401 8.564 587.7 8.56E+27 278.26 0.875 1.410 10.919 656.8 1.35E+28 317.89 1.000 1.417 12.352 695.4 1.71E+28 359.38 1.131 1.422 13.861 734.8 2.15E+28 464.16 1.460 1.435 17.575 833.0 3.62E+28 599.48 1.886 1.455 22.086 956.4 6.47E+28 774.26 2.436 1.478 27.636 1096.8 1.15E+29 1000.00 3.146 1.509 34.274 1255.1 2.06E+29 1291.55 4.063 1.546 42.146 1418.3 3.53E+29 1668.10 5.247 1.603 50.667 1560.0 5.55E+29 2154.43 6.777 1.674 60.019 1708.7 8.71E+29 2782.56 8.753 1.749 70.995 1859.0 1.33E+30 3593.81 11.305 1.827 83.979 2023.1 2.04E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.508 8.419 178.0 9.46E+24 35.94 0.113 0.784 4.567 223.0 5.55E+25 46.42 0.146 0.971 3.839 252.2 1.39E+26 59.95 0.189 1.090 3.939 279.2 2.64E+26 77.43 0.244 1.164 4.460 302.7 4.15E+26 100.00 0.315 1.216 5.277 329.6 6.38E+26 129.15 0.406 1.254 6.411 361.9 9.81E+26 166.81 0.525 1.275 8.007 400.2 1.52E+27 215.44 0.678 1.287 10.146 444.9 2.37E+27 278.26 0.875 1.296 12.917 501.8 3.90E+27 317.89 1.000 1.302 14.623 534.8 5.07E+27 359.38 1.131 1.306 16.427 567.2 6.45E+27 464.16 1.460 1.316 20.898 640.9 1.07E+28 599.48 1.886 1.326 26.596 725.7 1.78E+28 774.26 2.436 1.331 34.081 827.5 3.03E+28 1000.00 3.146 1.340 43.470 927.6 4.85E+28 1291.55 4.063 1.369 53.774 1035.2 7.85E+28 1668.10 5.247 1.405 65.943 1171.3 1.36E+29 2154.43 6.777 1.445 80.437 1322.8 2.33E+29 2782.56 8.753 1.490 97.727 1499.8 4.10E+29 3593.81 11.305 1.542 117.978 1696.7 7.18E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.477 9.542 136.5 2.88E+24 35.94 0.113 0.716 5.465 162.4 1.31E+25 46.42 0.146 0.868 4.802 182.8 3.09E+25 59.95 0.189 0.975 4.922 202.1 5.81E+25 77.43 0.244 1.052 5.459 221.5 9.75E+25 100.00 0.315 1.108 6.352 243.2 1.57E+26 129.15 0.406 1.152 7.597 269.2 2.55E+26 166.81 0.525 1.180 9.354 302.5 4.26E+26 215.44 0.678 1.199 11.697 340.5 7.05E+26 278.26 0.875 1.213 14.763 381.3 1.13E+27 317.89 1.000 1.220 16.665 403.9 1.45E+27 359.38 1.131 1.224 18.699 425.3 1.79E+27 464.16 1.460 1.234 23.769 473.1 2.78E+27 599.48 1.886 1.243 30.291 526.7 4.34E+27 774.26 2.436 1.244 39.015 589.5 6.82E+27 1000.00 3.146 1.255 49.523 641.3 9.72E+27 1291.55 4.063 1.272 62.284 733.4 1.71E+28 1668.10 5.247 1.288 78.397 849.5 3.16E+28 2154.43 6.777 1.305 98.715 982.9 5.79E+28 2782.56 8.753 1.321 124.368 1139.5 1.07E+29 3593.81 11.305 1.339 156.493 1322.8 2.00E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.452 10.618 101.8 8.00E+23 35.94 0.113 0.665 6.347 124.9 3.93E+24 46.42 0.146 0.804 5.603 138.4 8.66E+24 59.95 0.189 0.904 5.717 150.4 1.53E+25 77.43 0.244 0.979 6.297 162.7 2.46E+25 100.00 0.315 1.035 7.282 178.5 3.99E+25 129.15 0.406 1.079 8.658 198.5 6.61E+25 166.81 0.525 1.110 10.569 222.0 1.09E+26 215.44 0.678 1.132 13.105 248.6 1.79E+26 278.26 0.875 1.149 16.443 277.3 2.85E+26 317.89 1.000 1.157 18.538 292.7 3.58E+26 359.38 1.131 1.162 20.767 308.5 4.47E+26 464.16 1.460 1.172 26.357 342.9 6.92E+26 599.48 1.886 1.181 33.531 382.6 1.09E+27 774.26 2.436 1.185 42.991 421.7 1.63E+27 1000.00 3.146 1.198 54.364 473.7 2.64E+27 1291.55 4.063 1.210 68.823 539.2 4.52E+27 1668.10 5.247 1.217 87.871 614.2 7.70E+27 2154.43 6.777 1.219 113.184 701.7 1.32E+28 2782.56 8.753 1.215 147.162 824.7 2.49E+28 3593.81 11.305 1.208 192.136 979.2 4.89E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.432 11.636 75.3 2.18E+23 35.94 0.113 0.624 7.212 93.9 1.11E+24 46.42 0.146 0.751 6.412 103.5 2.36E+24 59.95 0.189 0.847 6.526 113.6 4.36E+24 77.43 0.244 0.920 7.132 124.5 7.43E+24 100.00 0.315 0.978 8.162 136.3 1.21E+25 129.15 0.406 1.024 9.608 149.2 1.89E+25 166.81 0.525 1.058 11.635 164.0 2.96E+25 215.44 0.678 1.082 14.345 181.3 4.63E+25 278.26 0.875 1.100 17.929 201.6 7.29E+25 317.89 1.000 1.109 20.177 213.6 9.36E+25 359.38 1.131 1.114 22.587 225.3 1.17E+26 464.16 1.460 1.125 28.626 252.2 1.87E+26 599.48 1.886 1.134 36.397 282.4 2.99E+26 774.26 2.436 1.141 46.367 310.4 4.40E+26 1000.00 3.146 1.154 58.608 348.4 7.16E+26 1291.55 4.063 1.162 74.587 391.5 1.16E+27 1668.10 5.247 1.163 96.192 443.6 1.92E+27 2154.43 6.777 1.157 125.534 514.9 3.44E+27 2782.56 8.753 1.145 165.656 603.7 6.35E+27 3593.81 11.305 1.127 220.736 710.6 1.18E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.416 12.552 55.7 6.08E+22 35.94 0.113 0.590 8.045 69.7 3.00E+23 46.42 0.146 0.709 7.211 78.2 6.86E+23 59.95 0.189 0.799 7.322 85.7 1.26E+24 77.43 0.244 0.871 7.958 93.2 2.08E+24 100.00 0.315 0.929 9.042 101.4 3.34E+24 129.15 0.406 0.977 10.563 110.6 5.22E+24 166.81 0.525 1.012 12.695 121.7 8.21E+24 215.44 0.678 1.040 15.543 134.9 1.31E+25 278.26 0.875 1.060 19.311 149.9 2.07E+25 317.89 1.000 1.069 21.690 158.3 2.61E+25 359.38 1.131 1.075 24.238 166.5 3.25E+25 464.16 1.460 1.087 30.646 185.2 5.08E+25 599.48 1.886 1.096 38.927 205.9 7.90E+25 774.26 2.436 1.107 49.319 225.5 1.16E+26 1000.00 3.146 1.117 62.509 251.9 1.84E+26 1291.55 4.063 1.123 79.941 285.0 3.04E+26 1668.10 5.247 1.121 103.633 327.5 5.27E+26 2154.43 6.777 1.112 135.978 377.5 9.17E+26 2782.56 8.753 1.096 180.848 435.5 1.57E+27 3593.81 11.305 1.073 243.448 504.5 2.72E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.403 13.363 40.6 1.62E+22 35.94 0.113 0.564 8.799 51.9 8.45E+22 46.42 0.146 0.675 7.944 58.1 1.89E+23 59.95 0.189 0.761 8.076 63.4 3.41E+23 77.43 0.244 0.830 8.760 68.9 5.66E+23 100.00 0.315 0.887 9.914 75.2 9.20E+23 129.15 0.406 0.935 11.516 82.4 1.47E+24 166.81 0.525 0.973 13.741 90.5 2.31E+24 215.44 0.678 1.003 16.705 99.6 3.61E+24 278.26 0.875 1.026 20.636 110.1 5.63E+24 317.89 1.000 1.035 23.128 115.9 7.04E+24 359.38 1.131 1.042 25.801 121.7 8.69E+24 464.16 1.460 1.055 32.544 134.7 1.34E+25 599.48 1.886 1.065 41.235 148.1 1.99E+25 774.26 2.436 1.077 52.070 163.0 2.98E+25 1000.00 3.146 1.086 66.098 184.1 4.96E+25 1291.55 4.063 1.091 84.702 209.2 8.33E+25 1668.10 5.247 1.087 110.130 238.3 1.39E+26 2154.43 6.777 1.076 145.106 272.3 2.32E+26 2782.56 8.753 1.058 193.875 313.3 3.93E+26 3593.81 11.305 1.034 262.131 364.0 6.84E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.393 14.069 29.3 4.13E+21 35.94 0.113 0.544 9.469 38.1 2.27E+22 46.42 0.146 0.649 8.601 42.6 5.05E+22 59.95 0.189 0.731 8.754 46.7 9.27E+22 77.43 0.244 0.798 9.483 51.0 1.57E+23 100.00 0.315 0.854 10.702 55.6 2.54E+23 129.15 0.406 0.902 12.382 60.6 4.00E+23 166.81 0.525 0.941 14.705 66.2 6.19E+23 215.44 0.678 0.972 17.789 72.6 9.56E+23 278.26 0.875 0.996 21.881 79.9 1.48E+24 317.89 1.000 1.007 24.476 84.1 1.85E+24 359.38 1.131 1.014 27.268 88.2 2.27E+24 464.16 1.460 1.027 34.314 97.4 3.47E+24 599.48 1.886 1.039 43.296 106.7 5.12E+24 774.26 2.436 1.052 54.623 119.6 8.24E+24 1000.00 3.146 1.060 69.374 134.6 1.35E+25 1291.55 4.063 1.064 89.018 152.0 2.20E+25 1668.10 5.247 1.059 115.974 172.5 3.63E+25 2154.43 6.777 1.048 153.152 197.3 6.06E+25 2782.56 8.753 1.029 204.959 227.6 1.03E+26 3593.81 11.305 1.005 277.410 263.6 1.78E+26 ----------------------------------------------------------