Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models with 10 Earth mass heavy elements cores at 0.020 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 ---------------------------------------------------------- 77.43 0.244 3.586 0.472 221.8 1.14E+27 100.00 0.315 3.632 0.593 276.0 2.81E+27 129.15 0.406 3.359 0.895 352.8 6.40E+27 166.81 0.525 3.037 1.411 444.8 1.31E+28 215.44 0.678 2.724 2.270 566.1 2.79E+28 278.26 0.875 2.430 3.680 722.9 5.88E+28 317.89 1.000 2.320 4.613 775.3 7.14E+28 359.38 1.131 2.262 5.485 811.8 8.13E+28 464.16 1.460 2.199 7.491 911.2 1.22E+29 599.48 1.886 2.185 9.806 1032.3 1.98E+29 774.26 2.436 2.198 12.513 1166.3 3.26E+29 1000.00 3.146 2.220 15.831 1303.0 5.18E+29 1291.55 4.063 2.235 20.171 1456.6 8.20E+29 1668.10 5.247 2.236 26.040 1637.4 1.31E+30 2154.43 6.777 2.220 34.104 1858.8 2.15E+30 2782.56 8.753 2.201 44.831 2050.6 3.13E+30 3593.81 11.305 2.228 56.456 2195.8 4.21E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 59.95 0.189 3.061 0.501 166.5 2.64E+26 77.43 0.244 3.149 0.611 206.9 6.66E+26 100.00 0.315 3.040 0.846 253.5 1.40E+27 129.15 0.406 2.731 1.354 314.7 2.68E+27 166.81 0.525 2.404 2.255 401.4 5.48E+27 215.44 0.678 2.118 3.747 510.5 1.11E+28 278.26 0.875 1.969 5.605 569.6 1.49E+28 317.89 1.000 1.932 6.641 603.3 1.80E+28 359.38 1.131 1.913 7.668 637.7 2.21E+28 464.16 1.460 1.881 10.236 716.4 3.40E+28 599.48 1.886 1.865 13.446 812.1 5.51E+28 774.26 2.436 1.860 17.458 929.7 9.42E+28 1000.00 3.146 1.860 22.555 1068.3 1.64E+29 1291.55 4.063 1.858 29.201 1231.0 2.89E+29 1668.10 5.247 1.846 38.206 1424.7 5.12E+29 2154.43 6.777 1.852 49.025 1546.5 7.17E+29 2782.56 8.753 1.889 60.829 1694.3 1.07E+30 3593.81 11.305 1.937 74.709 1863.7 1.65E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 35.94 0.113 2.417 0.481 114.3 3.65E+25 46.42 0.146 2.574 0.548 134.9 8.03E+25 59.95 0.189 2.655 0.664 157.8 1.60E+26 77.43 0.244 2.632 0.873 185.9 3.02E+26 100.00 0.315 2.467 1.284 226.7 5.88E+26 129.15 0.406 2.209 2.065 281.1 1.11E+27 166.81 0.525 1.946 3.435 351.7 2.11E+27 215.44 0.678 1.783 5.288 395.1 2.83E+27 278.26 0.875 1.718 7.361 441.9 4.12E+27 317.89 1.000 1.695 8.631 472.1 5.22E+27 359.38 1.131 1.680 9.932 503.3 6.64E+27 464.16 1.460 1.654 13.238 576.8 1.11E+28 599.48 1.886 1.637 17.456 661.9 1.88E+28 774.26 2.436 1.623 22.926 760.0 3.21E+28 1000.00 3.146 1.608 30.175 875.7 5.55E+28 1291.55 4.063 1.587 40.018 1010.4 9.59E+28 1668.10 5.247 1.596 51.088 1085.8 1.29E+29 2154.43 6.777 1.626 63.582 1198.5 1.99E+29 2782.56 8.753 1.658 78.995 1331.9 3.15E+29 3593.81 11.305 1.687 98.529 1502.7 5.29E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 1.940 0.578 92.7 1.01E+25 35.94 0.113 2.111 0.629 105.7 2.03E+25 46.42 0.146 2.173 0.768 123.0 3.95E+25 59.95 0.189 2.181 0.985 143.5 7.37E+25 77.43 0.244 2.126 1.338 167.9 1.31E+26 100.00 0.315 1.993 1.966 200.5 2.35E+26 129.15 0.406 1.800 3.109 244.5 4.23E+26 166.81 0.525 1.640 4.841 277.9 5.88E+26 215.44 0.678 1.579 6.739 311.5 8.60E+26 278.26 0.875 1.546 9.081 350.8 1.32E+27 317.89 1.000 1.536 10.515 372.0 1.65E+27 359.38 1.131 1.528 12.013 391.2 1.99E+27 464.16 1.460 1.512 15.840 433.4 2.94E+27 599.48 1.886 1.497 20.860 482.5 4.44E+27 774.26 2.436 1.483 27.468 539.0 6.80E+27 1000.00 3.146 1.467 36.228 603.4 1.05E+28 1291.55 4.063 1.461 47.181 657.9 1.47E+28 1668.10 5.247 1.468 60.354 745.4 2.45E+28 2154.43 6.777 1.476 77.134 867.7 4.52E+28 2782.56 8.753 1.485 98.467 1026.1 8.93E+28 3593.81 11.305 1.494 125.623 1199.1 1.68E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 21.54 0.068 1.529 0.720 75.4 2.77E+24 27.83 0.088 1.652 0.795 83.9 4.93E+24 35.94 0.113 1.750 0.917 95.4 9.28E+24 46.42 0.146 1.775 1.149 109.2 1.63E+25 59.95 0.189 1.763 1.507 125.9 2.85E+25 77.43 0.244 1.710 2.067 147.0 4.99E+25 100.00 0.315 1.620 2.973 173.7 8.72E+25 129.15 0.406 1.508 4.429 198.6 1.29E+26 166.81 0.525 1.462 6.088 216.9 1.73E+26 215.44 0.678 1.435 8.166 242.8 2.61E+26 278.26 0.875 1.416 10.831 272.0 4.01E+26 317.89 1.000 1.409 12.492 288.0 4.98E+26 359.38 1.131 1.405 14.200 304.1 6.17E+26 464.16 1.460 1.397 18.561 340.4 9.54E+26 599.48 1.886 1.389 24.258 382.7 1.51E+27 774.26 2.436 1.378 31.806 430.8 2.39E+27 1000.00 3.146 1.367 41.762 480.0 3.62E+27 1291.55 4.063 1.376 53.237 524.6 5.24E+27 1668.10 5.247 1.386 67.717 583.2 8.11E+27 2154.43 6.777 1.391 86.843 651.7 1.28E+28 2782.56 8.753 1.386 112.978 732.8 2.02E+28 3593.81 11.305 1.370 149.362 849.2 3.56E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.788 1.624 59.6 2.86E+23 16.68 0.052 1.092 1.092 61.1 6.09E+23 21.54 0.068 1.271 1.040 65.8 1.10E+24 27.83 0.088 1.377 1.146 72.6 1.92E+24 35.94 0.113 1.436 1.361 81.6 3.33E+24 46.42 0.146 1.452 1.720 93.2 5.82E+24 59.95 0.189 1.442 2.251 106.9 9.89E+24 77.43 0.244 1.410 3.040 122.9 1.66E+25 100.00 0.315 1.361 4.211 138.7 2.50E+25 129.15 0.406 1.343 5.590 147.9 3.15E+25 166.81 0.525 1.333 7.319 163.8 4.67E+25 215.44 0.678 1.321 9.628 184.7 7.42E+25 278.26 0.875 1.310 12.657 209.5 1.21E+26 317.89 1.000 1.307 14.529 223.2 1.55E+26 359.38 1.131 1.305 16.460 235.9 1.93E+26 464.16 1.460 1.302 21.346 264.2 3.02E+26 599.48 1.886 1.299 27.720 295.3 4.68E+26 774.26 2.436 1.292 36.207 330.8 7.30E+26 1000.00 3.146 1.290 46.869 359.6 1.01E+27 1291.55 4.063 1.301 59.529 397.6 1.54E+27 1668.10 5.247 1.307 76.126 445.2 2.45E+27 2154.43 6.777 1.307 98.418 508.9 4.19E+27 2782.56 8.753 1.297 129.038 584.6 7.16E+27 3593.81 11.305 1.277 171.864 676.0 1.24E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.658 2.331 49.6 9.52E+22 16.68 0.052 0.909 1.577 51.5 2.11E+23 21.54 0.068 1.060 1.496 55.1 3.80E+23 27.83 0.088 1.150 1.643 60.8 6.60E+23 35.94 0.113 1.201 1.945 67.8 1.11E+24 46.42 0.146 1.221 2.432 75.9 1.80E+24 59.95 0.189 1.222 3.133 85.1 2.86E+24 77.43 0.244 1.211 4.121 94.7 4.31E+24 100.00 0.315 1.218 5.258 99.7 5.33E+24 129.15 0.406 1.228 6.678 109.6 7.97E+24 166.81 0.525 1.234 8.547 123.4 1.29E+25 215.44 0.678 1.234 11.038 139.4 2.09E+25 278.26 0.875 1.230 14.343 156.9 3.35E+25 317.89 1.000 1.229 16.413 166.4 4.23E+25 359.38 1.131 1.229 18.557 175.1 5.18E+25 464.16 1.460 1.229 23.975 195.1 7.99E+25 599.48 1.886 1.228 31.004 216.9 1.22E+26 774.26 2.436 1.224 40.334 241.3 1.86E+26 1000.00 3.146 1.230 51.592 263.0 2.65E+26 1291.55 4.063 1.237 65.841 298.5 4.44E+26 1668.10 5.247 1.240 84.678 339.8 7.47E+26 2154.43 6.777 1.235 110.153 386.3 1.24E+27 2782.56 8.753 1.221 145.588 440.9 2.06E+27 3593.81 11.305 1.197 195.787 509.8 3.53E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.562 3.196 39.3 2.74E+22 16.68 0.052 0.762 2.241 42.9 7.19E+22 21.54 0.068 0.894 2.103 46.0 1.31E+23 27.83 0.088 0.978 2.269 49.8 2.14E+23 35.94 0.113 1.030 2.642 54.6 3.44E+23 46.42 0.146 1.058 3.237 60.0 5.30E+23 59.95 0.189 1.074 4.057 65.6 7.79E+23 77.43 0.244 1.097 5.019 69.0 1.00E+24 100.00 0.315 1.124 6.174 75.4 1.49E+24 129.15 0.406 1.145 7.690 83.3 2.30E+24 166.81 0.525 1.159 9.687 92.5 3.60E+24 215.44 0.678 1.166 12.352 102.9 5.58E+24 278.26 0.875 1.168 15.908 114.8 8.68E+24 317.89 1.000 1.169 18.157 121.6 1.09E+25 359.38 1.131 1.170 20.484 128.1 1.35E+25 464.16 1.460 1.171 26.386 143.1 2.10E+25 599.48 1.886 1.172 34.028 159.4 3.25E+25 774.26 2.436 1.173 43.927 174.7 4.69E+25 1000.00 3.146 1.180 55.978 196.1 7.52E+25 1291.55 4.063 1.186 71.619 221.8 1.24E+26 1668.10 5.247 1.185 92.655 251.1 2.04E+26 2154.43 6.777 1.176 121.566 285.9 3.37E+26 2782.56 8.753 1.158 161.760 329.4 5.77E+26 3593.81 11.305 1.133 218.544 382.8 1.01E+27 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 0.493 4.145 31.4 8.59E+21 16.68 0.052 0.659 2.997 33.9 2.09E+22 21.54 0.068 0.771 2.825 36.1 3.68E+22 27.83 0.088 0.850 3.004 39.3 6.28E+22 35.94 0.113 0.906 3.419 42.6 9.89E+22 46.42 0.146 0.944 4.065 46.0 1.45E+23 59.95 0.189 0.982 4.853 48.3 1.92E+23 77.43 0.244 1.020 5.811 52.1 2.79E+23 100.00 0.315 1.054 7.026 56.6 4.15E+23 129.15 0.406 1.080 8.634 62.0 6.29E+23 166.81 0.525 1.100 10.760 68.2 9.57E+23 215.44 0.678 1.112 13.596 75.7 1.48E+24 278.26 0.875 1.118 17.373 84.5 2.33E+24 317.89 1.000 1.120 19.763 89.5 2.93E+24 359.38 1.131 1.123 22.242 94.4 3.65E+24 464.16 1.460 1.126 28.545 105.3 5.69E+24 599.48 1.886 1.129 36.716 117.1 8.76E+24 774.26 2.436 1.133 47.042 128.2 1.26E+25 1000.00 3.146 1.141 59.946 143.8 2.03E+25 1291.55 4.063 1.144 76.992 162.0 3.29E+25 1668.10 5.247 1.140 100.181 183.5 5.36E+25 2154.43 6.777 1.128 132.105 211.4 9.29E+25 2782.56 8.753 1.109 176.576 244.6 1.61E+26 3593.81 11.305 1.083 239.239 282.9 2.74E+26 ----------------------------------------------------------