Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models without 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 ---------------------------------------------------------- 21.54 0.068 5.129 0.064 97.2 8.67E+25 27.83 0.088 4.569 0.104 133.4 2.41E+26 35.94 0.113 3.891 0.186 189.7 7.14E+26 46.42 0.146 3.054 0.389 275.6 1.96E+27 59.95 0.189 2.650 0.667 316.6 2.58E+27 77.43 0.244 2.479 0.983 364.2 3.94E+27 100.00 0.315 2.322 1.448 421.6 6.20E+27 129.15 0.406 2.094 2.301 502.0 1.02E+28 166.81 0.525 1.844 3.828 618.8 1.82E+28 215.44 0.678 1.715 5.719 701.0 2.61E+28 278.26 0.875 1.668 7.808 813.7 4.46E+28 317.89 1.000 1.659 9.010 877.2 5.97E+28 359.38 1.131 1.659 10.193 938.1 7.79E+28 464.16 1.460 1.674 12.922 1075.5 1.37E+29 599.48 1.886 1.709 16.013 1222.2 2.38E+29 774.26 2.436 1.763 19.425 1378.4 4.09E+29 1000.00 3.146 1.834 23.201 1538.1 6.85E+29 1291.55 4.063 1.910 27.613 1700.5 1.11E+30 1668.10 5.247 1.983 33.098 1874.5 1.77E+30 2154.43 6.777 2.041 40.356 2054.7 2.71E+30 2782.56 8.753 2.098 49.336 2179.5 3.62E+30 3593.81 11.305 2.163 59.922 2321.6 4.96E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 4.423 0.067 68.3 1.56E+25 21.54 0.068 4.258 0.093 92.7 4.89E+25 27.83 0.088 3.515 0.176 129.4 1.27E+26 35.94 0.113 2.642 0.402 191.6 3.45E+26 46.42 0.146 2.231 0.728 223.6 4.54E+26 59.95 0.189 2.068 1.095 265.4 7.76E+26 77.43 0.244 1.971 1.556 310.0 1.31E+27 100.00 0.315 1.872 2.227 363.4 2.23E+27 129.15 0.406 1.735 3.346 432.1 3.83E+27 166.81 0.525 1.606 5.043 489.3 5.39E+27 215.44 0.678 1.544 7.055 557.6 8.40E+27 278.26 0.875 1.511 9.507 632.1 1.33E+28 317.89 1.000 1.502 10.992 672.3 1.68E+28 359.38 1.131 1.497 12.510 711.5 2.10E+28 464.16 1.460 1.494 16.217 808.8 3.49E+28 599.48 1.886 1.499 20.820 933.7 6.24E+28 774.26 2.436 1.512 26.405 1074.9 1.11E+29 1000.00 3.146 1.535 33.101 1234.6 2.00E+29 1291.55 4.063 1.565 41.120 1408.8 3.52E+29 1668.10 5.247 1.617 49.788 1549.2 5.48E+29 2154.43 6.777 1.685 59.232 1700.7 8.66E+29 2782.56 8.753 1.758 70.251 1852.1 1.33E+30 3593.81 11.305 1.835 83.273 2016.4 2.03E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 3.702 0.095 66.2 9.64E+24 21.54 0.068 3.262 0.158 89.6 2.50E+25 27.83 0.088 2.535 0.338 129.9 6.67E+25 35.94 0.113 2.068 0.657 154.4 8.91E+25 46.42 0.146 1.863 1.043 178.7 1.29E+26 59.95 0.189 1.735 1.554 211.7 2.21E+26 77.43 0.244 1.648 2.226 251.5 3.96E+26 100.00 0.315 1.573 3.153 297.4 7.06E+26 129.15 0.406 1.497 4.500 339.5 1.09E+27 166.81 0.525 1.452 6.174 375.3 1.52E+27 215.44 0.678 1.415 8.392 422.5 2.33E+27 278.26 0.875 1.387 11.277 482.7 3.83E+27 317.89 1.000 1.379 13.041 517.1 4.96E+27 359.38 1.131 1.374 14.844 550.7 6.35E+27 464.16 1.460 1.370 19.295 625.4 1.05E+28 599.48 1.886 1.367 25.013 711.2 1.75E+28 774.26 2.436 1.364 32.457 813.1 2.97E+28 1000.00 3.146 1.363 41.986 921.9 4.90E+28 1291.55 4.063 1.385 52.495 1026.0 7.77E+28 1668.10 5.247 1.418 64.717 1162.1 1.34E+29 2154.43 6.777 1.456 79.279 1314.8 2.31E+29 2782.56 8.753 1.499 96.661 1491.6 4.06E+29 3593.81 11.305 1.548 116.974 1689.4 7.11E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 3.219 0.097 48.6 2.11E+24 16.68 0.052 2.858 0.159 64.3 5.10E+24 21.54 0.068 2.334 0.310 90.1 1.31E+25 27.83 0.088 1.887 0.610 109.8 1.89E+25 35.94 0.113 1.702 0.969 128.7 2.91E+25 46.42 0.146 1.583 1.446 151.0 4.76E+25 59.95 0.189 1.495 2.092 175.2 7.68E+25 77.43 0.244 1.428 2.961 202.4 1.25E+26 100.00 0.315 1.369 4.161 230.4 1.93E+26 129.15 0.406 1.347 5.550 249.7 2.57E+26 166.81 0.525 1.332 7.339 282.8 4.15E+26 215.44 0.678 1.314 9.736 323.8 6.94E+26 278.26 0.875 1.296 12.925 368.5 1.13E+27 317.89 1.000 1.290 14.894 392.5 1.44E+27 359.38 1.131 1.287 16.931 414.7 1.79E+27 464.16 1.460 1.283 21.997 463.6 2.77E+27 599.48 1.886 1.280 28.528 518.1 4.31E+27 774.26 2.436 1.275 37.179 580.9 6.75E+27 1000.00 3.146 1.276 47.882 635.6 9.71E+27 1291.55 4.063 1.288 60.731 726.1 1.69E+28 1668.10 5.247 1.301 76.852 841.8 3.10E+28 2154.43 6.777 1.315 97.191 976.1 5.72E+28 2782.56 8.753 1.329 122.882 1132.7 1.06E+29 3593.81 11.305 1.345 154.973 1316.4 1.98E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 2.628 0.113 36.9 4.69E+23 12.92 0.041 2.433 0.171 48.3 1.17E+24 16.68 0.052 2.028 0.317 66.8 2.98E+24 21.54 0.068 1.694 0.586 80.4 4.40E+24 27.83 0.088 1.550 0.904 92.0 6.29E+24 35.94 0.113 1.454 1.327 105.6 9.62E+24 46.42 0.146 1.377 1.910 120.6 1.46E+25 59.95 0.189 1.319 2.688 137.0 2.24E+25 77.43 0.244 1.275 3.716 154.3 3.36E+25 100.00 0.315 1.254 4.958 165.4 4.30E+25 129.15 0.406 1.251 6.441 184.5 6.65E+25 166.81 0.525 1.246 8.386 209.1 1.08E+26 215.44 0.678 1.237 10.991 237.1 1.76E+26 278.26 0.875 1.227 14.426 268.3 2.85E+26 317.89 1.000 1.222 16.604 284.8 3.58E+26 359.38 1.131 1.220 18.845 301.3 4.48E+26 464.16 1.460 1.217 24.442 336.9 6.97E+26 599.48 1.886 1.216 31.648 377.8 1.10E+27 774.26 2.436 1.212 41.121 420.0 1.67E+27 1000.00 3.146 1.218 52.593 468.3 2.60E+27 1291.55 4.063 1.225 67.103 534.3 4.46E+27 1668.10 5.247 1.230 86.077 609.6 7.62E+27 2154.43 6.777 1.229 111.362 697.2 1.30E+28 2782.56 8.753 1.222 145.274 819.8 2.47E+28 3593.81 11.305 1.214 190.145 974.3 4.85E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.986 0.198 36.9 2.65E+23 12.92 0.041 1.717 0.343 49.7 6.55E+23 16.68 0.052 1.489 0.587 57.6 8.91E+23 21.54 0.068 1.388 0.873 65.3 1.28E+24 27.83 0.088 1.317 1.253 74.8 1.98E+24 35.94 0.113 1.261 1.765 85.7 3.13E+24 46.42 0.146 1.216 2.450 97.1 4.80E+24 59.95 0.189 1.183 3.343 109.0 7.20E+24 77.43 0.244 1.165 4.454 117.5 9.47E+24 100.00 0.315 1.172 5.683 127.3 1.32E+25 129.15 0.406 1.179 7.248 140.6 1.98E+25 166.81 0.525 1.182 9.316 155.8 3.00E+25 215.44 0.678 1.179 12.089 173.8 4.63E+25 278.26 0.875 1.173 15.770 195.1 7.29E+25 317.89 1.000 1.171 18.099 207.7 9.33E+25 359.38 1.131 1.169 20.529 219.8 1.16E+26 464.16 1.460 1.167 26.579 247.9 1.88E+26 599.48 1.886 1.166 34.395 278.7 3.00E+26 774.26 2.436 1.166 44.442 307.6 4.44E+26 1000.00 3.146 1.173 56.701 345.2 7.13E+26 1291.55 4.063 1.177 72.706 388.6 1.15E+27 1668.10 5.247 1.175 94.205 440.5 1.90E+27 2154.43 6.777 1.167 123.503 511.6 3.41E+27 2782.56 8.753 1.152 163.523 600.6 6.30E+27 3593.81 11.305 1.133 218.380 707.6 1.17E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.412 0.392 37.4 1.42E+23 12.92 0.041 1.292 0.605 41.2 1.76E+23 16.68 0.052 1.229 0.862 46.5 2.57E+23 21.54 0.068 1.184 1.198 53.1 4.08E+23 27.83 0.088 1.148 1.647 60.3 6.37E+23 35.94 0.113 1.118 2.242 67.8 9.62E+23 46.42 0.146 1.095 3.018 75.6 1.43E+24 59.95 0.189 1.080 4.011 83.4 2.06E+24 77.43 0.244 1.086 5.118 87.8 2.55E+24 100.00 0.315 1.103 6.410 95.4 3.69E+24 129.15 0.406 1.118 8.066 104.8 5.50E+24 166.81 0.525 1.126 10.256 116.1 8.41E+24 215.44 0.678 1.130 13.168 129.8 1.32E+25 278.26 0.875 1.129 17.041 145.6 2.09E+25 317.89 1.000 1.128 19.498 154.5 2.64E+25 359.38 1.131 1.127 22.059 163.1 3.29E+25 464.16 1.460 1.127 28.495 182.3 5.12E+25 599.48 1.886 1.127 36.827 203.4 7.95E+25 774.26 2.436 1.130 47.316 223.2 1.16E+26 1000.00 3.146 1.136 60.495 249.6 1.83E+26 1291.55 4.063 1.137 77.944 282.6 3.01E+26 1668.10 5.247 1.132 101.510 325.3 5.24E+26 2154.43 6.777 1.121 133.798 375.5 9.13E+26 2782.56 8.753 1.103 178.540 433.6 1.57E+27 3593.81 11.305 1.079 240.879 502.7 2.72E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.101 0.644 30.1 3.64E+22 12.92 0.041 1.076 0.870 33.7 5.47E+22 16.68 0.052 1.057 1.165 37.8 8.33E+22 21.54 0.068 1.040 1.555 42.3 1.26E+23 27.83 0.088 1.024 2.069 47.1 1.89E+23 35.94 0.113 1.013 2.733 52.1 2.75E+23 46.42 0.146 1.006 3.578 57.2 3.95E+23 59.95 0.189 1.009 4.591 60.5 5.00E+23 77.43 0.244 1.027 5.733 65.1 6.93E+23 100.00 0.315 1.046 7.132 71.2 1.03E+24 129.15 0.406 1.064 8.901 78.4 1.56E+24 166.81 0.525 1.078 11.197 86.8 2.41E+24 215.44 0.678 1.087 14.234 96.3 3.71E+24 278.26 0.875 1.090 18.265 107.1 5.70E+24 317.89 1.000 1.091 20.833 113.4 7.18E+24 359.38 1.131 1.092 23.525 119.3 8.82E+24 464.16 1.460 1.093 30.303 132.6 1.35E+25 599.48 1.886 1.094 39.087 147.5 2.07E+25 774.26 2.436 1.099 49.981 161.5 2.99E+25 1000.00 3.146 1.104 63.987 182.5 4.94E+25 1291.55 4.063 1.104 82.607 207.7 8.29E+25 1668.10 5.247 1.098 107.910 236.8 1.38E+26 2154.43 6.777 1.085 142.813 271.0 2.32E+26 2782.56 8.753 1.065 191.442 312.1 3.92E+26 3593.81 11.305 1.040 259.428 362.8 6.82E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 0.938 0.886 23.7 1.02E+22 12.92 0.041 0.935 1.152 26.5 1.58E+22 16.68 0.052 0.933 1.495 29.6 2.42E+22 21.54 0.068 0.931 1.937 32.8 3.66E+22 27.83 0.088 0.931 2.504 36.1 5.34E+22 35.94 0.113 0.934 3.215 39.3 7.60E+22 46.42 0.146 0.940 4.099 42.3 1.03E+23 59.95 0.189 0.958 5.093 44.8 1.34E+23 77.43 0.244 0.980 6.287 48.6 1.96E+23 100.00 0.315 1.001 7.778 53.0 2.90E+23 129.15 0.406 1.021 9.664 58.1 4.31E+23 166.81 0.525 1.038 12.084 63.8 6.52E+23 215.44 0.678 1.050 15.241 70.4 9.87E+23 278.26 0.875 1.057 19.430 78.0 1.51E+24 317.89 1.000 1.059 22.104 82.4 1.89E+24 359.38 1.131 1.061 24.909 86.8 2.33E+24 464.16 1.460 1.064 31.993 96.4 3.57E+24 599.48 1.886 1.066 41.160 106.1 5.26E+24 774.26 2.436 1.073 52.469 118.3 8.22E+24 1000.00 3.146 1.078 67.186 133.6 1.35E+25 1291.55 4.063 1.077 86.842 151.0 2.20E+25 1668.10 5.247 1.070 113.668 171.5 3.62E+25 2154.43 6.777 1.056 150.774 196.4 6.05E+25 2782.56 8.753 1.035 202.442 226.7 1.03E+26 3593.81 11.305 1.010 274.610 262.9 1.78E+26 ----------------------------------------------------------