Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models without 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 ---------------------------------------------------------- 10.00 0.031 3.834 0.053 93.3 4.06E+25 12.92 0.041 3.705 0.074 112.1 7.92E+25 16.68 0.052 3.515 0.106 136.4 1.56E+26 21.54 0.068 3.257 0.159 169.8 3.21E+26 27.83 0.088 2.938 0.252 216.3 6.88E+26 35.94 0.113 2.651 0.399 258.0 1.13E+27 46.42 0.146 2.481 0.589 296.3 1.73E+27 59.95 0.189 2.355 0.845 342.8 2.80E+27 77.43 0.244 2.238 1.206 388.3 4.16E+27 100.00 0.315 2.133 1.714 439.2 6.17E+27 129.15 0.406 1.996 2.530 513.3 1.01E+28 166.81 0.525 1.821 3.924 615.6 1.75E+28 215.44 0.678 1.684 5.928 723.6 2.85E+28 278.26 0.875 1.627 8.205 844.3 4.90E+28 317.89 1.000 1.614 9.516 915.7 6.68E+28 359.38 1.131 1.610 10.814 984.9 8.90E+28 464.16 1.460 1.618 13.826 1126.7 1.54E+29 599.48 1.886 1.656 17.053 1247.3 2.42E+29 774.26 2.436 1.714 20.569 1380.1 3.89E+29 1000.00 3.146 1.791 24.327 1537.4 6.53E+29 1291.55 4.063 1.888 28.287 1691.5 1.06E+30 1668.10 5.247 1.998 32.611 1841.7 1.67E+30 2154.43 6.777 2.114 37.605 1982.3 2.52E+30 2782.56 8.753 2.223 43.958 2111.0 3.58E+30 3593.81 11.305 2.309 52.590 2230.5 4.81E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 2.829 0.098 89.5 1.87E+25 12.92 0.041 2.640 0.145 110.8 3.82E+25 16.68 0.052 2.398 0.227 141.8 8.45E+25 21.54 0.068 2.138 0.368 174.8 1.56E+26 27.83 0.088 2.001 0.543 201.3 2.40E+26 35.94 0.113 1.918 0.762 232.6 3.93E+26 46.42 0.146 1.853 1.056 267.1 6.38E+26 59.95 0.189 1.819 1.414 297.3 9.45E+26 77.43 0.244 1.796 1.872 331.6 1.42E+27 100.00 0.315 1.764 2.507 373.9 2.22E+27 129.15 0.406 1.697 3.501 429.4 3.57E+27 166.81 0.525 1.599 5.093 498.0 5.74E+27 215.44 0.678 1.521 7.265 555.8 8.04E+27 278.26 0.875 1.473 10.004 631.5 1.26E+28 317.89 1.000 1.457 11.685 678.2 1.64E+28 359.38 1.131 1.445 13.422 720.7 2.06E+28 464.16 1.460 1.447 17.284 813.8 3.37E+28 599.48 1.886 1.463 21.851 931.4 5.89E+28 774.26 2.436 1.490 27.204 1062.1 1.03E+29 1000.00 3.146 1.530 33.310 1207.8 1.82E+29 1291.55 4.063 1.583 40.235 1360.8 3.13E+29 1668.10 5.247 1.644 48.134 1531.7 5.42E+29 2154.43 6.777 1.720 56.820 1723.0 9.51E+29 2782.56 8.753 1.807 66.527 1909.3 1.58E+30 3593.81 11.305 1.898 77.835 2087.4 2.49E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.988 0.197 90.8 9.79E+24 12.92 0.041 1.777 0.319 116.5 2.12E+25 16.68 0.052 1.654 0.476 132.4 3.07E+25 21.54 0.068 1.576 0.677 153.2 4.98E+25 27.83 0.088 1.518 0.943 178.4 8.53E+25 35.94 0.113 1.486 1.270 200.8 1.31E+26 46.42 0.146 1.480 1.653 223.7 2.00E+26 59.95 0.189 1.484 2.123 249.3 3.11E+26 77.43 0.244 1.489 2.723 277.9 4.82E+26 100.00 0.315 1.487 3.527 311.3 7.58E+26 129.15 0.406 1.465 4.694 351.3 1.19E+27 166.81 0.525 1.428 6.384 388.6 1.69E+27 215.44 0.678 1.393 8.664 436.1 2.56E+27 278.26 0.875 1.363 11.688 491.1 3.94E+27 317.89 1.000 1.353 13.545 518.4 4.83E+27 359.38 1.131 1.349 15.399 540.4 5.66E+27 464.16 1.460 1.352 19.796 598.2 8.55E+27 599.48 1.886 1.359 25.326 669.1 1.35E+28 774.26 2.436 1.367 32.308 766.8 2.36E+28 1000.00 3.146 1.382 40.849 885.8 4.30E+28 1291.55 4.063 1.403 51.202 1023.5 7.88E+28 1668.10 5.247 1.428 63.809 1176.9 1.43E+29 2154.43 6.777 1.455 79.398 1354.7 2.60E+29 2782.56 8.753 1.493 97.430 1531.0 4.46E+29 3593.81 11.305 1.548 117.028 1727.9 7.78E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.370 0.416 87.1 3.92E+24 12.92 0.041 1.316 0.582 99.9 6.29E+24 16.68 0.052 1.281 0.793 114.7 1.04E+25 21.54 0.068 1.249 1.078 130.5 1.65E+25 27.83 0.088 1.235 1.424 145.0 2.45E+25 35.94 0.113 1.236 1.837 162.6 3.89E+25 46.42 0.146 1.243 2.344 181.8 6.15E+25 59.95 0.189 1.256 2.964 202.8 9.74E+25 77.43 0.244 1.271 3.742 225.9 1.53E+26 100.00 0.315 1.280 4.761 251.8 2.40E+26 129.15 0.406 1.286 6.091 276.3 3.52E+26 166.81 0.525 1.288 7.840 305.6 5.28E+26 215.44 0.678 1.282 10.228 340.7 8.06E+26 278.26 0.875 1.270 13.467 378.2 1.20E+27 317.89 1.000 1.267 15.446 395.7 1.44E+27 359.38 1.131 1.268 17.448 414.6 1.73E+27 464.16 1.460 1.273 22.349 461.5 2.68E+27 599.48 1.886 1.280 28.529 516.3 4.26E+27 774.26 2.436 1.286 36.534 579.9 6.82E+27 1000.00 3.146 1.291 46.814 657.8 1.14E+28 1291.55 4.063 1.295 60.103 756.1 2.00E+28 1668.10 5.247 1.295 77.635 883.0 3.72E+28 2154.43 6.777 1.303 98.996 996.9 6.11E+28 2782.56 8.753 1.319 124.793 1145.2 1.09E+29 3593.81 11.305 1.337 156.831 1319.4 1.97E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.094 0.652 70.8 1.10E+24 12.92 0.041 1.064 0.890 82.9 1.95E+24 16.68 0.052 1.051 1.179 93.6 3.10E+24 21.54 0.068 1.054 1.513 103.8 4.71E+24 27.83 0.088 1.062 1.923 115.0 7.21E+24 35.94 0.113 1.073 2.435 127.7 1.12E+25 46.42 0.146 1.085 3.075 141.9 1.74E+25 59.95 0.189 1.099 3.871 157.6 2.72E+25 77.43 0.244 1.116 4.854 175.4 4.30E+25 100.00 0.315 1.137 6.033 191.7 6.37E+25 129.15 0.406 1.159 7.494 211.9 9.89E+25 166.81 0.525 1.176 9.411 234.9 1.54E+26 215.44 0.678 1.183 12.003 261.7 2.39E+26 278.26 0.875 1.187 15.395 288.1 3.54E+26 317.89 1.000 1.191 17.479 303.3 4.38E+26 359.38 1.131 1.195 19.634 318.2 5.34E+26 464.16 1.460 1.204 24.959 352.2 8.15E+26 599.48 1.886 1.214 31.751 390.1 1.24E+27 774.26 2.436 1.220 40.580 433.7 1.92E+27 1000.00 3.146 1.223 52.178 485.5 3.03E+27 1291.55 4.063 1.221 67.630 548.7 4.93E+27 1668.10 5.247 1.213 88.398 616.6 7.78E+27 2154.43 6.777 1.212 114.368 709.2 1.36E+28 2782.56 8.753 1.210 148.290 830.3 2.54E+28 3593.81 11.305 1.207 192.559 982.0 4.94E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 0.945 0.874 54.9 2.97E+23 12.92 0.041 0.922 1.186 61.7 4.51E+23 16.68 0.052 0.924 1.524 69.9 7.46E+23 21.54 0.068 0.934 1.928 78.3 1.19E+24 27.83 0.088 0.947 2.421 87.3 1.90E+24 35.94 0.113 0.962 3.028 97.0 2.99E+24 46.42 0.146 0.979 3.776 107.4 4.66E+24 59.95 0.189 0.997 4.709 118.5 7.13E+24 77.43 0.244 1.016 5.846 128.2 1.02E+25 100.00 0.315 1.041 7.194 140.2 1.53E+25 129.15 0.406 1.066 8.862 155.4 2.42E+25 166.81 0.525 1.087 11.009 173.6 3.92E+25 215.44 0.678 1.102 13.830 194.3 6.31E+25 278.26 0.875 1.117 17.389 215.9 9.89E+25 317.89 1.000 1.124 19.617 228.3 1.25E+26 359.38 1.131 1.131 21.932 240.2 1.55E+26 464.16 1.460 1.144 27.676 266.5 2.41E+26 599.48 1.886 1.156 35.008 294.3 3.65E+26 774.26 2.436 1.165 44.526 324.3 5.47E+26 1000.00 3.146 1.169 57.092 357.0 8.09E+26 1291.55 4.063 1.167 74.019 395.8 1.22E+27 1668.10 5.247 1.161 96.590 441.9 1.88E+27 2154.43 6.777 1.154 126.303 510.1 3.29E+27 2782.56 8.753 1.142 166.505 595.3 5.98E+27 3593.81 11.305 1.126 220.928 701.8 1.12E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 0.859 1.059 40.6 7.34E+22 12.92 0.041 0.854 1.384 44.3 1.02E+23 16.68 0.052 0.857 1.770 49.1 1.56E+23 21.54 0.068 0.865 2.243 54.8 2.47E+23 27.83 0.088 0.877 2.820 61.3 3.96E+23 35.94 0.113 0.893 3.519 68.6 6.45E+23 46.42 0.146 0.910 4.373 76.6 1.04E+24 59.95 0.189 0.930 5.410 84.0 1.57E+24 77.43 0.244 0.955 6.622 92.2 2.41E+24 100.00 0.315 0.980 8.122 101.8 3.77E+24 129.15 0.406 1.003 10.007 112.4 5.85E+24 166.81 0.525 1.024 12.412 124.7 9.25E+24 215.44 0.678 1.044 15.432 137.6 1.43E+25 278.26 0.875 1.061 19.296 154.7 2.35E+25 317.89 1.000 1.068 21.724 164.7 3.07E+25 359.38 1.131 1.075 24.250 174.4 3.90E+25 464.16 1.460 1.089 30.514 196.4 6.43E+25 599.48 1.886 1.103 38.457 220.5 1.05E+26 774.26 2.436 1.113 48.737 245.4 1.64E+26 1000.00 3.146 1.119 62.279 273.2 2.54E+26 1291.55 4.063 1.119 80.491 304.8 3.94E+26 1668.10 5.247 1.117 104.371 337.2 5.87E+26 2154.43 6.777 1.109 136.657 380.6 9.42E+26 2782.56 8.753 1.094 181.246 432.9 1.53E+27 3593.81 11.305 1.074 242.971 502.0 2.68E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 0.795 1.235 30.7 2.07E+22 12.92 0.041 0.800 1.573 33.5 2.95E+22 16.68 0.052 0.810 1.986 36.6 4.30E+22 21.54 0.068 0.821 2.490 39.9 6.28E+22 27.83 0.088 0.836 3.105 43.3 9.06E+22 35.94 0.113 0.853 3.851 46.9 1.29E+23 46.42 0.146 0.872 4.759 50.3 1.79E+23 59.95 0.189 0.895 5.841 54.5 2.59E+23 77.43 0.244 0.919 7.149 60.7 4.20E+23 100.00 0.315 0.943 8.774 68.5 7.13E+23 129.15 0.406 0.964 10.834 77.0 1.19E+24 166.81 0.525 0.983 13.466 86.1 1.94E+24 215.44 0.678 1.003 16.706 97.3 3.29E+24 278.26 0.875 1.021 20.823 109.3 5.43E+24 317.89 1.000 1.029 23.441 116.3 7.04E+24 359.38 1.131 1.035 26.177 123.3 9.03E+24 464.16 1.460 1.047 33.023 139.3 1.50E+25 599.48 1.886 1.058 41.741 157.3 2.50E+25 774.26 2.436 1.068 52.973 178.4 4.22E+25 1000.00 3.146 1.073 67.703 201.7 6.95E+25 1291.55 4.063 1.074 87.294 225.5 1.09E+26 1668.10 5.247 1.074 112.792 254.0 1.75E+26 2154.43 6.777 1.067 147.505 287.4 2.84E+26 2782.56 8.753 1.054 195.458 325.4 4.54E+26 3593.81 11.305 1.034 262.158 372.4 7.50E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 0.749 1.390 22.7 5.49E+21 12.92 0.041 0.761 1.742 24.8 8.03E+21 16.68 0.052 0.775 2.169 27.0 1.17E+22 21.54 0.068 0.791 2.686 29.3 1.68E+22 27.83 0.088 0.809 3.314 31.6 2.39E+22 35.94 0.113 0.830 4.072 34.0 3.37E+22 46.42 0.146 0.852 4.994 36.6 4.75E+22 59.95 0.189 0.876 6.092 38.9 6.43E+22 77.43 0.244 0.901 7.445 41.9 9.15E+22 100.00 0.315 0.924 9.141 45.4 1.33E+23 129.15 0.406 0.944 11.298 49.5 1.96E+23 166.81 0.525 0.962 14.065 54.3 2.94E+23 215.44 0.678 0.979 17.551 63.2 5.62E+23 278.26 0.875 0.993 21.998 73.5 1.05E+24 317.89 1.000 1.000 24.786 78.7 1.40E+24 359.38 1.131 1.006 27.699 83.9 1.83E+24 464.16 1.460 1.017 34.996 96.1 3.22E+24 599.48 1.886 1.027 44.317 109.7 5.57E+24 774.26 2.436 1.035 56.368 124.2 9.30E+24 1000.00 3.146 1.039 72.274 140.7 1.54E+25 1291.55 4.063 1.039 93.287 159.2 2.53E+25 1668.10 5.247 1.037 120.999 183.8 4.48E+25 2154.43 6.777 1.030 158.493 213.4 8.01E+25 2782.56 8.753 1.017 209.708 244.4 1.35E+26 3593.81 11.305 1.000 280.466 279.4 2.22E+26 ----------------------------------------------------------