Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models with 25 Earth mass 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 0.626 5.546 319.8 1.50E+26 35.94 0.113 1.196 1.962 342.5 7.19E+26 46.42 0.146 1.522 1.564 359.7 1.42E+27 59.95 0.189 1.694 1.632 395.2 2.56E+27 77.43 0.244 1.754 1.965 444.1 4.37E+27 100.00 0.315 1.726 2.621 510.2 7.37E+27 129.15 0.406 1.651 3.699 596.3 1.26E+28 166.81 0.525 1.592 5.139 651.9 1.68E+28 215.44 0.678 1.573 6.797 733.1 2.62E+28 278.26 0.875 1.570 8.807 836.5 4.42E+28 317.89 1.000 1.575 10.000 894.9 5.81E+28 359.38 1.131 1.580 11.234 951.9 7.46E+28 464.16 1.460 1.600 14.141 1081.1 1.28E+29 599.48 1.886 1.632 17.552 1225.4 2.19E+29 774.26 2.436 1.672 21.607 1388.3 3.79E+29 1000.00 3.146 1.721 26.338 1564.5 6.46E+29 1291.55 4.063 1.775 31.999 1754.7 1.09E+30 1668.10 5.247 1.823 39.158 1962.6 1.80E+30 2154.43 6.777 1.878 47.672 2110.7 2.55E+30 2782.56 8.753 1.942 57.561 2272.0 3.66E+30 3593.81 11.305 2.011 69.310 2457.2 5.38E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.564 6.814 240.0 3.86E+25 35.94 0.113 0.973 2.963 289.8 2.43E+26 46.42 0.146 1.238 2.362 305.4 4.86E+26 59.95 0.189 1.381 2.454 334.9 8.77E+26 77.43 0.244 1.438 2.922 377.9 1.54E+27 100.00 0.315 1.432 3.806 433.9 2.65E+27 129.15 0.406 1.421 4.994 468.6 3.56E+27 166.81 0.525 1.421 6.443 519.8 5.38E+27 215.44 0.678 1.426 8.269 580.5 8.44E+27 278.26 0.875 1.431 10.598 643.7 1.28E+28 317.89 1.000 1.436 12.026 677.8 1.59E+28 359.38 1.131 1.439 13.546 712.8 1.95E+28 464.16 1.460 1.445 17.333 801.9 3.16E+28 599.48 1.886 1.455 22.092 916.8 5.48E+28 774.26 2.436 1.465 28.155 1057.8 9.83E+28 1000.00 3.146 1.478 35.718 1225.7 1.80E+29 1291.55 4.063 1.500 44.800 1375.4 2.94E+29 1668.10 5.247 1.543 54.668 1526.4 4.72E+29 2154.43 6.777 1.597 65.932 1698.4 7.74E+29 2782.56 8.753 1.655 79.236 1878.9 1.24E+30 3593.81 11.305 1.717 95.133 2077.9 2.00E+30 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.519 8.052 179.9 1.03E+25 35.94 0.113 0.823 4.140 227.4 6.62E+25 46.42 0.146 1.032 3.397 247.0 1.45E+26 59.95 0.189 1.153 3.517 274.1 2.74E+26 77.43 0.244 1.213 4.107 303.8 4.57E+26 100.00 0.315 1.249 4.997 324.6 6.32E+26 129.15 0.406 1.280 6.147 356.7 9.71E+26 166.81 0.525 1.296 7.742 396.3 1.51E+27 215.44 0.678 1.307 9.836 443.1 2.41E+27 278.26 0.875 1.315 12.544 499.0 3.91E+27 317.89 1.000 1.322 14.201 531.4 5.09E+27 359.38 1.131 1.325 15.965 562.2 6.40E+27 464.16 1.460 1.334 20.332 631.6 1.03E+28 599.48 1.886 1.343 25.930 708.9 1.66E+28 774.26 2.436 1.347 33.307 799.5 2.70E+28 1000.00 3.146 1.351 42.746 888.2 4.14E+28 1291.55 4.063 1.373 53.473 967.9 6.02E+28 1668.10 5.247 1.395 66.877 1081.1 9.70E+28 2154.43 6.777 1.418 83.592 1265.2 1.89E+29 2782.56 8.753 1.446 103.888 1469.9 3.56E+29 3593.81 11.305 1.478 128.420 1684.3 6.41E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.485 9.227 137.2 3.04E+24 35.94 0.113 0.737 5.167 165.1 1.48E+25 46.42 0.146 0.900 4.474 188.0 3.69E+25 59.95 0.189 1.011 4.579 206.0 6.73E+25 77.43 0.244 1.086 5.120 222.2 1.05E+26 100.00 0.315 1.140 6.007 241.0 1.60E+26 129.15 0.406 1.179 7.244 264.4 2.49E+26 166.81 0.525 1.202 9.003 296.0 4.04E+26 215.44 0.678 1.218 11.333 335.1 6.84E+26 278.26 0.875 1.229 14.363 377.4 1.12E+27 317.89 1.000 1.235 16.248 400.2 1.43E+27 359.38 1.131 1.240 18.240 422.8 1.80E+27 464.16 1.460 1.249 23.224 472.4 2.84E+27 599.48 1.886 1.256 29.639 527.7 4.46E+27 774.26 2.436 1.257 38.220 592.2 7.08E+27 1000.00 3.146 1.267 48.620 645.8 1.02E+28 1291.55 4.063 1.284 61.104 731.3 1.72E+28 1668.10 5.247 1.300 77.021 832.9 2.97E+28 2154.43 6.777 1.312 97.622 946.7 5.05E+28 2782.56 8.753 1.318 124.908 1075.9 8.49E+28 3593.81 11.305 1.318 161.284 1246.4 1.53E+29 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.458 10.333 102.1 8.35E+23 35.94 0.113 0.678 6.099 125.7 4.19E+24 46.42 0.146 0.822 5.358 139.9 9.46E+24 59.95 0.189 0.925 5.463 152.2 1.68E+25 77.43 0.244 1.001 6.030 164.3 2.66E+25 100.00 0.315 1.057 6.988 180.8 4.38E+25 129.15 0.406 1.100 8.325 200.7 7.19E+25 166.81 0.525 1.130 10.195 223.4 1.16E+26 215.44 0.678 1.151 12.691 248.8 1.85E+26 278.26 0.875 1.165 15.985 276.5 2.90E+26 317.89 1.000 1.172 18.050 291.9 3.64E+26 359.38 1.131 1.176 20.257 307.0 4.48E+26 464.16 1.460 1.185 25.768 342.4 7.06E+26 599.48 1.886 1.193 32.868 381.7 1.10E+27 774.26 2.436 1.195 42.275 421.3 1.64E+27 1000.00 3.146 1.208 53.500 473.0 2.67E+27 1291.55 4.063 1.220 67.719 538.7 4.58E+27 1668.10 5.247 1.227 86.428 613.7 7.80E+27 2154.43 6.777 1.229 111.330 700.0 1.32E+28 2782.56 8.753 1.223 145.052 814.2 2.41E+28 3593.81 11.305 1.212 190.809 954.4 4.45E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.437 11.377 75.6 2.28E+23 35.94 0.113 0.634 6.986 94.0 1.15E+24 46.42 0.146 0.765 6.194 103.9 2.49E+24 59.95 0.189 0.861 6.307 114.2 4.61E+24 77.43 0.244 0.935 6.904 125.1 7.80E+24 100.00 0.315 0.993 7.910 137.2 1.28E+25 129.15 0.406 1.039 9.326 150.4 2.02E+25 166.81 0.525 1.072 11.320 165.1 3.11E+25 215.44 0.678 1.096 13.986 182.6 4.87E+25 278.26 0.875 1.113 17.514 202.8 7.64E+25 317.89 1.000 1.121 19.727 214.9 9.81E+25 359.38 1.131 1.126 22.097 226.6 1.22E+26 464.16 1.460 1.136 28.050 252.6 1.92E+26 599.48 1.886 1.144 35.711 281.8 3.01E+26 774.26 2.436 1.151 45.587 309.5 4.45E+26 1000.00 3.146 1.163 57.671 347.1 7.17E+26 1291.55 4.063 1.171 73.417 390.0 1.16E+27 1668.10 5.247 1.172 94.668 441.7 1.91E+27 2154.43 6.777 1.167 123.501 512.7 3.44E+27 2782.56 8.753 1.154 163.015 599.8 6.30E+27 3593.81 11.305 1.135 217.567 702.2 1.14E+28 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.420 12.291 55.3 6.02E+22 35.94 0.113 0.598 7.836 69.9 3.12E+23 46.42 0.146 0.719 7.010 78.3 7.11E+23 59.95 0.189 0.811 7.117 85.8 1.30E+24 77.43 0.244 0.883 7.739 93.5 2.18E+24 100.00 0.315 0.941 8.808 101.7 3.45E+24 129.15 0.406 0.989 10.303 111.2 5.46E+24 166.81 0.525 1.024 12.405 122.6 8.66E+24 215.44 0.678 1.051 15.212 136.0 1.38E+25 278.26 0.875 1.071 18.923 151.1 2.19E+25 317.89 1.000 1.080 21.264 159.5 2.75E+25 359.38 1.131 1.086 23.774 167.7 3.40E+25 464.16 1.460 1.097 30.074 186.3 5.30E+25 599.48 1.886 1.106 38.214 206.8 8.19E+25 774.26 2.436 1.116 48.498 225.8 1.18E+26 1000.00 3.146 1.126 61.480 251.1 1.84E+26 1291.55 4.063 1.132 78.631 283.6 3.03E+26 1668.10 5.247 1.130 101.941 326.1 5.28E+26 2154.43 6.777 1.121 133.827 375.5 9.10E+26 2782.56 8.753 1.104 177.961 433.9 1.58E+27 3593.81 11.305 1.081 239.718 502.4 2.72E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.407 13.089 40.5 1.63E+22 35.94 0.113 0.572 8.580 51.3 8.23E+22 46.42 0.146 0.684 7.747 57.6 1.88E+23 59.95 0.189 0.770 7.882 63.2 3.46E+23 77.43 0.244 0.840 8.558 68.9 5.81E+23 100.00 0.315 0.897 9.693 75.5 9.58E+23 129.15 0.406 0.946 11.269 82.8 1.54E+24 166.81 0.525 0.983 13.464 91.0 2.42E+24 215.44 0.678 1.013 16.390 100.3 3.79E+24 278.26 0.875 1.035 20.272 110.9 5.91E+24 317.89 1.000 1.044 22.732 116.7 7.38E+24 359.38 1.131 1.051 25.366 122.6 9.12E+24 464.16 1.460 1.064 32.008 135.8 1.41E+25 599.48 1.886 1.073 40.588 149.9 2.13E+25 774.26 2.436 1.085 51.289 164.5 3.14E+25 1000.00 3.146 1.095 65.091 185.7 5.20E+25 1291.55 4.063 1.099 83.375 210.4 8.66E+25 1668.10 5.247 1.096 108.371 238.8 1.42E+26 2154.43 6.777 1.085 142.762 272.1 2.36E+26 2782.56 8.753 1.067 190.775 312.5 3.96E+26 3593.81 11.305 1.042 258.050 362.6 6.87E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 27.83 0.088 0.397 13.801 29.7 4.46E+21 35.94 0.113 0.551 9.225 37.8 2.27E+22 46.42 0.146 0.657 8.380 42.1 4.95E+22 59.95 0.189 0.740 8.543 46.0 8.96E+22 77.43 0.244 0.807 9.270 50.5 1.54E+23 100.00 0.315 0.863 10.481 55.2 2.52E+23 129.15 0.406 0.911 12.147 60.4 4.01E+23 166.81 0.525 0.949 14.448 66.1 6.29E+23 215.44 0.678 0.980 17.503 72.8 9.83E+23 278.26 0.875 1.004 21.553 80.4 1.54E+24 317.89 1.000 1.014 24.119 84.7 1.93E+24 359.38 1.131 1.021 26.880 88.9 2.37E+24 464.16 1.460 1.034 33.840 98.5 3.68E+24 599.48 1.886 1.046 42.741 108.0 5.44E+24 774.26 2.436 1.058 53.918 120.8 8.70E+24 1000.00 3.146 1.067 68.457 135.9 1.42E+25 1291.55 4.063 1.071 87.803 153.4 2.32E+25 1668.10 5.247 1.067 114.344 173.9 3.81E+25 2154.43 6.777 1.055 150.956 198.8 6.35E+25 2782.56 8.753 1.037 202.007 229.2 1.08E+26 3593.81 11.305 1.013 273.446 265.2 1.85E+26 ----------------------------------------------------------