Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models without 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 ---------------------------------------------------------- 27.83 0.088 5.296 0.078 111.5 1.58E+26 35.94 0.113 4.970 0.114 151.9 4.79E+26 46.42 0.146 4.013 0.226 222.5 1.43E+27 59.95 0.189 3.128 0.479 281.6 2.26E+27 77.43 0.244 2.782 0.781 332.3 3.45E+27 100.00 0.315 2.531 1.218 394.6 5.66E+27 129.15 0.406 2.227 2.033 483.3 9.89E+27 166.81 0.525 1.915 3.552 610.1 1.86E+28 215.44 0.678 1.746 5.514 690.6 2.54E+28 278.26 0.875 1.686 7.641 796.8 4.19E+28 317.89 1.000 1.671 8.884 858.2 5.54E+28 359.38 1.131 1.664 10.124 917.2 7.17E+28 464.16 1.460 1.665 13.067 1048.8 1.23E+29 599.48 1.886 1.680 16.581 1196.6 2.11E+29 774.26 2.436 1.710 20.671 1361.8 3.67E+29 1000.00 3.146 1.751 25.449 1541.3 6.31E+29 1291.55 4.063 1.797 31.187 1734.7 1.07E+30 1668.10 5.247 1.843 38.335 1946.1 1.77E+30 2154.43 6.777 1.892 46.953 2102.4 2.55E+30 2782.56 8.753 1.953 56.924 2263.5 3.65E+30 3593.81 11.305 2.021 68.664 2449.6 5.36E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 21.54 0.068 4.800 0.073 80.9 3.59E+25 27.83 0.088 4.186 0.124 112.7 1.03E+26 35.94 0.113 3.332 0.253 171.0 3.46E+26 46.42 0.146 2.666 0.510 208.3 4.88E+26 59.95 0.189 2.395 0.816 243.6 7.38E+26 77.43 0.244 2.213 1.235 287.2 1.22E+27 100.00 0.315 2.038 1.880 343.4 2.11E+27 129.15 0.406 1.830 3.008 421.6 3.87E+27 166.81 0.525 1.645 4.809 488.1 5.61E+27 215.44 0.678 1.571 6.812 550.9 8.29E+27 278.26 0.875 1.534 9.221 620.6 1.28E+28 317.89 1.000 1.523 10.692 656.8 1.58E+28 359.38 1.131 1.515 12.209 691.3 1.91E+28 464.16 1.460 1.506 15.964 779.6 3.07E+28 599.48 1.886 1.500 20.775 895.7 5.31E+28 774.26 2.436 1.501 26.819 1037.0 9.53E+28 1000.00 3.146 1.506 34.390 1205.5 1.75E+29 1291.55 4.063 1.519 43.682 1366.0 2.93E+29 1668.10 5.247 1.558 53.645 1515.6 4.67E+29 2154.43 6.777 1.608 65.006 1689.3 7.68E+29 2782.56 8.753 1.664 78.358 1870.8 1.24E+30 3593.81 11.305 1.724 94.298 2069.8 1.99E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 4.036 0.080 59.7 7.58E+24 21.54 0.068 3.696 0.124 83.1 2.37E+25 27.83 0.088 2.848 0.269 125.9 7.42E+25 35.94 0.113 2.322 0.521 149.8 9.92E+25 46.42 0.146 2.088 0.832 174.8 1.49E+26 59.95 0.189 1.924 1.264 206.7 2.46E+26 77.43 0.244 1.801 1.863 245.3 4.28E+26 100.00 0.315 1.682 2.757 290.7 7.38E+26 129.15 0.406 1.550 4.196 339.6 1.17E+27 166.81 0.525 1.481 5.931 370.6 1.51E+27 215.44 0.678 1.437 8.134 419.8 2.34E+27 278.26 0.875 1.408 10.947 479.9 3.85E+27 317.89 1.000 1.400 12.661 513.8 4.99E+27 359.38 1.131 1.394 14.427 545.5 6.27E+27 464.16 1.460 1.389 18.764 616.6 1.02E+28 599.48 1.886 1.385 24.379 695.2 1.63E+28 774.26 2.436 1.380 31.707 786.3 2.66E+28 1000.00 3.146 1.375 41.236 884.5 4.22E+28 1291.55 4.063 1.390 52.136 961.2 6.02E+28 1668.10 5.247 1.409 65.541 1071.2 9.53E+28 2154.43 6.777 1.429 82.318 1254.7 1.85E+29 2782.56 8.753 1.454 102.675 1461.3 3.52E+29 3593.81 11.305 1.485 127.198 1676.4 6.35E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 3.480 0.083 45.0 1.80E+24 16.68 0.052 3.130 0.133 60.6 4.82E+24 21.54 0.068 2.506 0.269 89.6 1.47E+25 27.83 0.088 2.045 0.520 105.5 1.90E+25 35.94 0.113 1.840 0.829 124.8 3.00E+25 46.42 0.146 1.708 1.242 147.6 5.07E+25 59.95 0.189 1.607 1.811 172.1 8.28E+25 77.43 0.244 1.521 2.610 198.7 1.32E+26 100.00 0.315 1.441 3.758 229.7 2.11E+26 129.15 0.406 1.390 5.213 246.6 2.61E+26 166.81 0.525 1.363 7.009 276.3 3.97E+26 215.44 0.678 1.336 9.410 317.3 6.60E+26 278.26 0.875 1.315 12.563 363.9 1.11E+27 317.89 1.000 1.307 14.512 388.2 1.41E+27 359.38 1.131 1.303 16.506 411.7 1.78E+27 464.16 1.460 1.298 21.476 462.5 2.82E+27 599.48 1.886 1.295 27.903 518.6 4.42E+27 774.26 2.436 1.288 36.401 583.9 7.04E+27 1000.00 3.146 1.288 47.003 640.1 1.02E+28 1291.55 4.063 1.300 59.577 724.6 1.70E+28 1668.10 5.247 1.313 75.476 826.2 2.93E+28 2154.43 6.777 1.323 96.064 940.8 5.01E+28 2782.56 8.753 1.327 123.289 1070.5 8.43E+28 3593.81 11.305 1.325 159.580 1239.2 1.51E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 2.857 0.096 33.9 3.92E+23 12.92 0.041 2.644 0.145 45.4 1.09E+24 16.68 0.052 2.117 0.291 66.5 3.20E+24 21.54 0.068 1.798 0.520 76.5 4.04E+24 27.83 0.088 1.647 0.801 89.2 6.27E+24 35.94 0.113 1.538 1.186 103.6 9.97E+24 46.42 0.146 1.451 1.721 119.9 1.59E+25 59.95 0.189 1.382 2.449 137.9 2.53E+25 77.43 0.244 1.326 3.433 156.6 3.87E+25 100.00 0.315 1.289 4.697 169.1 4.96E+25 129.15 0.406 1.280 6.153 187.0 7.32E+25 166.81 0.525 1.271 8.052 210.6 1.16E+26 215.44 0.678 1.259 10.608 237.5 1.84E+26 278.26 0.875 1.245 14.003 267.5 2.90E+26 317.89 1.000 1.239 16.147 283.9 3.64E+26 359.38 1.131 1.236 18.360 299.8 4.51E+26 464.16 1.460 1.231 23.878 336.0 7.06E+26 599.48 1.886 1.228 31.007 376.0 1.10E+27 774.26 2.436 1.223 40.403 420.6 1.71E+27 1000.00 3.146 1.228 51.745 467.7 2.64E+27 1291.55 4.063 1.235 66.020 533.8 4.53E+27 1668.10 5.247 1.240 84.654 609.2 7.73E+27 2154.43 6.777 1.239 109.521 695.6 1.31E+28 2782.56 8.753 1.231 143.161 809.8 2.38E+28 3593.81 11.305 1.219 188.743 950.0 4.42E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 2.139 0.171 35.4 2.62E+23 12.92 0.041 1.781 0.318 49.3 6.81E+23 16.68 0.052 1.577 0.524 54.9 8.25E+23 21.54 0.068 1.468 0.780 63.1 1.24E+24 27.83 0.088 1.385 1.132 73.0 1.99E+24 35.94 0.113 1.317 1.617 84.2 3.19E+24 46.42 0.146 1.262 2.273 96.4 5.01E+24 59.95 0.189 1.221 3.136 109.1 7.72E+24 77.43 0.244 1.192 4.250 119.6 1.06E+25 100.00 0.315 1.193 5.478 128.2 1.40E+25 129.15 0.406 1.199 7.011 141.6 2.11E+25 166.81 0.525 1.200 9.035 157.1 3.20E+25 215.44 0.678 1.195 11.766 175.0 4.89E+25 278.26 0.875 1.188 15.386 196.5 7.66E+25 317.89 1.000 1.184 17.679 209.4 9.86E+25 359.38 1.131 1.182 20.069 221.5 1.23E+26 464.16 1.460 1.179 26.028 248.6 1.94E+26 599.48 1.886 1.178 33.727 278.4 3.05E+26 774.26 2.436 1.176 43.682 306.8 4.48E+26 1000.00 3.146 1.182 55.795 343.6 7.11E+26 1291.55 4.063 1.187 71.568 386.9 1.15E+27 1668.10 5.247 1.185 92.700 438.7 1.90E+27 2154.43 6.777 1.176 121.488 509.5 3.41E+27 2782.56 8.753 1.162 160.897 596.8 6.25E+27 3593.81 11.305 1.141 215.216 699.4 1.14E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.480 0.356 35.2 1.23E+23 12.92 0.041 1.369 0.538 39.3 1.63E+23 16.68 0.052 1.298 0.773 44.8 2.47E+23 21.54 0.068 1.244 1.087 51.7 4.04E+23 27.83 0.088 1.197 1.516 59.2 6.44E+23 35.94 0.113 1.158 2.092 67.1 9.90E+23 46.42 0.146 1.127 2.851 75.3 1.49E+24 59.95 0.189 1.105 3.830 83.7 2.19E+24 77.43 0.244 1.105 4.945 88.1 2.69E+24 100.00 0.315 1.120 6.217 95.6 3.82E+24 129.15 0.406 1.133 7.846 105.0 5.71E+24 166.81 0.525 1.141 10.000 116.8 8.85E+24 215.44 0.678 1.143 12.869 130.8 1.40E+25 278.26 0.875 1.141 16.685 146.8 2.21E+25 317.89 1.000 1.139 19.107 155.5 2.77E+25 359.38 1.131 1.139 21.626 164.2 3.45E+25 464.16 1.460 1.138 27.953 183.3 5.34E+25 599.48 1.886 1.137 36.143 204.3 8.23E+25 774.26 2.436 1.139 46.518 223.6 1.19E+26 1000.00 3.146 1.145 59.493 248.7 1.83E+26 1291.55 4.063 1.147 76.649 281.4 3.01E+26 1668.10 5.247 1.142 99.845 323.8 5.24E+26 2154.43 6.777 1.130 131.673 373.4 9.04E+26 2782.56 8.753 1.112 175.671 432.0 1.57E+27 3593.81 11.305 1.087 237.169 500.7 2.71E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.182 0.558 27.9 3.11E+22 12.92 0.041 1.145 0.770 31.9 4.96E+22 16.68 0.052 1.113 1.051 36.4 7.91E+22 21.54 0.068 1.085 1.429 41.2 1.24E+23 27.83 0.088 1.060 1.933 46.3 1.89E+23 35.94 0.113 1.041 2.587 51.6 2.80E+23 46.42 0.146 1.028 3.424 56.9 4.06E+23 59.95 0.189 1.025 4.449 60.6 5.17E+23 77.43 0.244 1.040 5.581 65.1 7.09E+23 100.00 0.315 1.059 6.952 71.3 1.06E+24 129.15 0.406 1.077 8.687 78.7 1.63E+24 166.81 0.525 1.090 10.950 87.2 2.50E+24 215.44 0.678 1.098 13.949 96.8 3.86E+24 278.26 0.875 1.100 17.929 107.9 5.98E+24 317.89 1.000 1.101 20.466 114.1 7.51E+24 359.38 1.131 1.101 23.119 120.2 9.24E+24 464.16 1.460 1.102 29.795 133.6 1.41E+25 599.48 1.886 1.103 38.444 148.7 2.17E+25 774.26 2.436 1.108 49.223 162.9 3.15E+25 1000.00 3.146 1.113 63.005 184.0 5.19E+25 1291.55 4.063 1.113 81.305 208.9 8.62E+25 1668.10 5.247 1.107 106.175 237.3 1.42E+26 2154.43 6.777 1.094 140.491 270.8 2.35E+26 2782.56 8.753 1.073 188.365 311.3 3.95E+26 3593.81 11.305 1.048 255.368 361.5 6.85E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 0.997 0.785 23.6 1.12E+22 12.92 0.041 0.992 1.025 26.0 1.65E+22 16.68 0.052 0.982 1.350 28.8 2.42E+22 21.54 0.068 0.971 1.781 31.9 3.58E+22 27.83 0.088 0.963 2.340 35.2 5.20E+22 35.94 0.113 0.959 3.046 38.6 7.42E+22 46.42 0.146 0.960 3.929 41.7 1.02E+23 59.95 0.189 0.974 4.933 44.0 1.30E+23 77.43 0.244 0.993 6.121 47.9 1.89E+23 100.00 0.315 1.013 7.597 52.4 2.83E+23 129.15 0.406 1.032 9.458 57.6 4.28E+23 166.81 0.525 1.048 11.848 63.6 6.57E+23 215.44 0.678 1.059 14.977 70.5 1.01E+24 278.26 0.875 1.065 19.124 78.4 1.57E+24 317.89 1.000 1.067 21.770 83.0 1.97E+24 359.38 1.131 1.069 24.543 87.4 2.44E+24 464.16 1.460 1.071 31.541 97.3 3.76E+24 599.48 1.886 1.073 40.609 107.7 5.65E+24 774.26 2.436 1.080 51.784 119.5 8.67E+24 1000.00 3.146 1.085 66.290 134.8 1.42E+25 1291.55 4.063 1.085 85.649 152.3 2.31E+25 1668.10 5.247 1.078 112.060 172.9 3.79E+25 2154.43 6.777 1.063 148.599 197.9 6.33E+25 2782.56 8.753 1.043 199.509 228.4 1.08E+26 3593.81 11.305 1.018 270.667 264.5 1.85E+26 ----------------------------------------------------------