Fortney, Marley and Barnes (2007), Astrophysical Journal v. 659, 1661-1672 Models without 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 ---------------------------------------------------------- 46.42 0.146 7.510 0.065 112.4 3.34E+26 50.00 0.157 7.153 0.077 121.6 4.13E+26 59.95 0.189 6.787 0.102 149.0 8.28E+26 77.43 0.244 6.101 0.163 194.1 1.93E+27 100.00 0.315 5.001 0.313 256.8 3.99E+27 129.15 0.406 4.127 0.593 318.0 6.39E+27 166.81 0.525 3.447 1.100 409.1 1.22E+28 215.44 0.678 2.963 1.920 532.8 2.59E+28 278.26 0.875 2.581 3.263 691.1 5.55E+28 317.89 1.000 2.416 4.254 767.7 7.44E+28 359.38 1.131 2.328 5.176 802.6 8.24E+28 476.84 1.500 2.236 7.444 911.5 1.26E+29 635.78 2.000 2.211 10.149 1051.8 2.18E+29 774.26 2.436 2.219 12.278 1157.3 3.22E+29 953.67 3.000 2.235 14.903 1269.0 4.72E+29 1271.56 4.000 2.249 19.616 1439.3 7.92E+29 1668.10 5.247 2.248 25.761 1630.3 1.30E+30 2154.43 6.777 2.230 33.800 1851.7 2.13E+30 ---------------------------------------------------------- t (Gyr) = 0.0032 ---------------------------------------------------------- Me Mj Rj g Tint L 35.94 0.113 6.437 0.068 80.7 6.45E+25 46.42 0.146 6.175 0.096 106.8 1.81E+26 50.00 0.157 5.860 0.115 115.4 2.23E+26 59.95 0.189 5.261 0.170 141.6 4.07E+26 77.43 0.244 4.376 0.317 189.4 9.04E+26 100.00 0.315 3.778 0.548 226.6 1.38E+27 129.15 0.406 3.218 0.975 279.6 2.31E+27 166.81 0.525 2.673 1.825 367.5 4.77E+27 215.44 0.678 2.277 3.245 482.3 1.02E+28 278.26 0.875 2.043 5.202 561.1 1.51E+28 317.89 1.000 1.990 6.264 594.0 1.80E+28 359.38 1.131 1.959 7.307 628.6 2.19E+28 476.84 1.500 1.912 10.179 716.5 3.51E+28 635.78 2.000 1.887 13.930 829.4 6.16E+28 774.26 2.436 1.879 17.107 921.6 9.28E+28 953.67 3.000 1.876 21.137 1033.7 1.47E+29 1271.56 4.000 1.871 28.354 1213.3 2.76E+29 1668.10 5.247 1.856 37.780 1417.7 5.08E+29 2154.43 6.777 1.859 48.670 1543.7 7.17E+29 ---------------------------------------------------------- t (Gyr) = 0.0100 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 29.00 0.091 5.590 0.073 60.2 1.50E+25 35.94 0.113 5.318 0.099 77.6 3.74E+25 46.42 0.146 4.590 0.172 106.6 9.92E+25 50.00 0.157 4.314 0.211 117.1 1.27E+26 59.95 0.189 3.747 0.334 142.4 2.11E+26 77.43 0.244 3.304 0.554 165.0 2.95E+26 100.00 0.315 2.951 0.897 198.6 4.95E+26 129.15 0.406 2.553 1.548 251.3 9.50E+26 166.81 0.525 2.150 2.816 325.3 1.89E+27 215.44 0.678 1.874 4.788 388.9 2.93E+27 278.26 0.875 1.774 6.901 433.7 4.07E+27 317.89 1.000 1.742 8.174 464.4 5.17E+27 359.38 1.131 1.719 9.488 495.5 6.52E+27 476.84 1.500 1.681 13.162 578.0 1.15E+28 635.78 2.000 1.654 18.126 676.6 2.09E+28 774.26 2.436 1.641 22.444 753.7 3.17E+28 953.67 3.000 1.626 28.152 846.6 4.96E+28 1271.56 4.000 1.599 38.787 999.3 9.31E+28 1668.10 5.247 1.603 50.642 1083.3 1.29E+29 2154.43 6.777 1.631 63.162 1195.7 1.99E+29 ---------------------------------------------------------- t (Gyr) = 0.0316 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 21.54 0.068 5.133 0.064 41.0 2.73E+24 25.00 0.079 4.874 0.083 49.6 5.26E+24 29.00 0.091 4.540 0.111 59.9 9.66E+24 35.94 0.113 3.984 0.177 78.0 2.14E+25 46.42 0.146 3.150 0.366 106.4 4.67E+25 50.00 0.157 2.994 0.436 111.1 4.98E+25 59.95 0.189 2.771 0.611 125.6 7.01E+25 77.43 0.244 2.554 0.928 148.9 1.17E+26 100.00 0.315 2.335 1.432 178.3 2.01E+26 129.15 0.406 2.052 2.394 221.9 3.72E+26 166.81 0.525 1.770 4.156 274.8 6.55E+26 215.44 0.678 1.647 6.194 304.5 8.55E+26 278.26 0.875 1.593 8.555 345.3 1.32E+27 317.89 1.000 1.575 9.997 367.0 1.65E+27 359.38 1.131 1.561 11.505 386.6 1.98E+27 476.84 1.500 1.536 15.763 433.9 3.05E+27 635.78 2.000 1.513 21.674 491.4 4.89E+27 774.26 2.436 1.498 26.912 535.9 6.78E+27 953.67 3.000 1.483 33.829 588.0 9.64E+27 1271.56 4.000 1.469 45.942 652.5 1.44E+28 1668.10 5.247 1.475 59.815 742.8 2.44E+28 2154.43 6.777 1.481 76.603 864.5 4.47E+28 ---------------------------------------------------------- t (Gyr) = 0.1000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 16.68 0.052 4.337 0.070 29.9 5.54E+23 21.54 0.068 4.165 0.098 40.9 1.77E+24 25.00 0.079 3.748 0.139 49.7 3.12E+24 29.00 0.091 3.248 0.215 62.7 5.94E+24 35.94 0.113 2.655 0.398 79.8 1.05E+25 46.42 0.146 2.351 0.655 93.2 1.52E+25 50.00 0.157 2.294 0.743 97.8 1.76E+25 59.95 0.189 2.167 0.997 110.0 2.51E+25 77.43 0.244 2.019 1.483 130.4 4.31E+25 100.00 0.315 1.866 2.242 156.7 7.65E+25 129.15 0.406 1.681 3.564 191.2 1.38E+26 166.81 0.525 1.551 5.406 210.8 1.73E+26 215.44 0.678 1.493 7.538 237.7 2.60E+26 278.26 0.875 1.457 10.231 267.7 3.98E+26 317.89 1.000 1.444 11.897 284.2 4.96E+26 359.38 1.131 1.435 13.621 300.4 6.13E+26 476.84 1.500 1.419 18.478 341.3 9.96E+26 635.78 2.000 1.403 25.188 390.4 1.67E+27 774.26 2.436 1.392 31.177 428.2 2.38E+27 953.67 3.000 1.379 39.105 473.0 3.48E+27 1271.56 4.000 1.382 51.912 519.5 5.09E+27 1668.10 5.247 1.392 67.122 581.6 8.09E+27 2154.43 6.777 1.396 86.224 650.1 1.27E+28 ---------------------------------------------------------- t (Gyr) = 0.3162 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 12.92 0.041 3.634 0.077 24.2 1.65E+23 16.68 0.052 3.535 0.105 30.0 3.69E+23 21.54 0.068 2.969 0.191 43.3 1.13E+24 25.00 0.079 2.502 0.312 55.1 2.10E+24 29.00 0.091 2.236 0.454 59.3 2.26E+24 35.94 0.113 2.031 0.681 67.2 3.08E+24 46.42 0.146 1.863 1.043 79.6 5.08E+24 50.00 0.157 1.827 1.170 83.9 6.05E+24 59.95 0.189 1.744 1.539 94.7 8.93E+24 77.43 0.244 1.641 2.243 111.4 1.51E+25 100.00 0.315 1.537 3.301 130.9 2.53E+25 129.15 0.406 1.447 4.813 144.5 3.34E+25 166.81 0.525 1.406 6.579 159.1 4.63E+25 215.44 0.678 1.374 8.904 180.3 7.30E+25 278.26 0.875 1.346 11.974 206.2 1.20E+26 317.89 1.000 1.338 13.858 220.2 1.54E+26 359.38 1.131 1.332 15.809 233.3 1.92E+26 476.84 1.500 1.323 21.264 265.1 3.16E+26 635.78 2.000 1.313 28.772 301.0 5.16E+26 774.26 2.436 1.304 35.511 329.0 7.27E+26 953.67 3.000 1.298 44.148 353.3 9.59E+26 1271.56 4.000 1.307 58.039 393.8 1.50E+27 1668.10 5.247 1.313 75.462 443.8 2.44E+27 2154.43 6.777 1.312 97.714 507.5 4.17E+27 ---------------------------------------------------------- t (Gyr) = 1.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 2.608 0.115 21.7 5.53E+22 12.92 0.041 2.689 0.139 26.0 1.21E+23 16.68 0.052 2.454 0.216 33.5 2.75E+23 21.54 0.068 1.982 0.428 41.8 4.38E+23 25.00 0.079 1.843 0.575 45.4 5.28E+23 29.00 0.091 1.745 0.744 49.9 6.91E+23 35.94 0.113 1.639 1.045 57.3 1.05E+24 46.42 0.146 1.539 1.530 66.9 1.73E+24 50.00 0.157 1.513 1.704 69.8 1.99E+24 59.95 0.189 1.456 2.206 77.4 2.77E+24 77.43 0.244 1.387 3.142 88.9 4.38E+24 100.00 0.315 1.328 4.423 98.0 5.94E+24 129.15 0.406 1.309 5.876 106.0 7.88E+24 166.81 0.525 1.296 7.743 119.8 1.27E+25 215.44 0.678 1.281 10.246 136.3 2.07E+25 278.26 0.875 1.264 13.579 154.6 3.33E+25 317.89 1.000 1.258 15.670 164.4 4.22E+25 359.38 1.131 1.254 17.839 173.4 5.18E+25 476.84 1.500 1.248 23.901 195.7 8.34E+25 635.78 2.000 1.241 32.180 221.0 1.34E+26 774.26 2.436 1.235 39.591 240.8 1.87E+26 953.67 3.000 1.237 48.646 256.4 2.42E+26 1271.56 4.000 1.243 64.181 294.9 4.27E+26 1668.10 5.247 1.245 83.937 338.9 7.46E+26 2154.43 6.777 1.240 109.374 385.4 1.24E+27 ---------------------------------------------------------- t (Gyr) = 3.1623 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.769 0.250 25.0 4.48E+22 12.92 0.041 1.668 0.363 29.8 8.04E+22 16.68 0.052 1.589 0.516 33.1 1.11E+23 21.54 0.068 1.511 0.736 37.1 1.57E+23 25.00 0.079 1.470 0.903 39.8 1.97E+23 29.00 0.091 1.429 1.109 42.9 2.52E+23 35.94 0.113 1.371 1.492 48.0 3.64E+23 46.42 0.146 1.309 2.114 54.9 5.67E+23 50.00 0.157 1.293 2.334 57.0 6.43E+23 59.95 0.189 1.258 2.955 62.2 8.68E+23 77.43 0.244 1.219 4.069 69.1 1.23E+24 100.00 0.315 1.212 5.314 73.1 1.53E+24 129.15 0.406 1.214 6.834 80.9 2.30E+24 166.81 0.525 1.214 8.825 90.2 3.57E+24 215.44 0.678 1.209 11.507 101.0 5.55E+24 278.26 0.875 1.200 15.075 113.2 8.65E+24 317.89 1.000 1.196 17.347 120.1 1.09E+25 359.38 1.131 1.193 19.706 126.9 1.35E+25 476.84 1.500 1.189 26.317 143.7 2.21E+25 635.78 2.000 1.185 35.321 162.6 3.59E+25 774.26 2.436 1.183 43.192 174.2 4.72E+25 953.67 3.000 1.187 52.777 191.0 6.86E+25 1271.56 4.000 1.192 69.781 219.5 1.21E+26 1668.10 5.247 1.190 91.850 250.5 2.04E+26 2154.43 6.777 1.180 120.718 285.2 3.36E+26 ---------------------------------------------------------- t (Gyr) = 10.0000 ---------------------------------------------------------- Me Mj Rj g Tint L ---------------------------------------------------------- 10.00 0.031 1.216 0.528 22.5 1.37E+22 12.92 0.041 1.224 0.673 25.0 2.14E+22 16.68 0.052 1.225 0.867 27.9 3.32E+22 21.54 0.068 1.213 1.143 31.4 5.19E+22 25.00 0.079 1.201 1.351 33.6 6.72E+22 29.00 0.091 1.188 1.603 36.0 8.63E+22 35.94 0.113 1.166 2.063 39.5 1.21E+23 46.42 0.146 1.140 2.789 43.9 1.76E+23 50.00 0.157 1.133 3.040 45.2 1.95E+23 59.95 0.189 1.118 3.739 48.2 2.47E+23 77.43 0.244 1.115 4.855 50.8 3.02E+23 100.00 0.315 1.130 6.114 55.0 4.26E+23 129.15 0.406 1.142 7.721 60.3 6.31E+23 166.81 0.525 1.150 9.848 66.7 9.56E+23 215.44 0.678 1.151 12.695 74.3 1.48E+24 278.26 0.875 1.147 16.492 83.4 2.33E+24 317.89 1.000 1.145 18.903 88.5 2.93E+24 359.38 1.131 1.144 21.414 93.5 3.66E+24 476.84 1.500 1.143 28.481 105.8 5.98E+24 635.78 2.000 1.141 38.113 119.5 9.70E+24 774.26 2.436 1.142 46.280 127.7 1.27E+25 953.67 3.000 1.147 56.513 140.2 1.86E+25 1271.56 4.000 1.150 75.009 160.2 3.18E+25 1668.10 5.247 1.145 99.318 183.0 5.35E+25 2154.43 6.777 1.132 131.197 210.9 9.27E+25 ----------------------------------------------------------