Table 15 Mass limit and minimum radius of white dwarfs computed at \(\alpha = 0.98\).
From: Analysis of the fractional relativistic polytropic gas sphere
\(\sigma\) | \(\xi_{1}\) | \(\upsilon \, (\xi_{1} )\) | Mlimit (M☉) | Rmin (km) | Rmin (R☉)% | \(\log \, \rho_{c}\) |
|---|---|---|---|---|---|---|
0.001 | 6.863 | 2.153 | 1.5534 | 12,532.2 | 1.8006 | 9.7829 |
0.003 | 6.893 | 2.13234 | 1.53849 | 4213.99 | 0.6054 | 11.2142 |
0.005 | 6.884 | 2.112 | 1.52382 | 2521.8 | 0.3623 | 11.8798 |
0.007 | 6.874 | 2.09632 | 1.5125 | 1796.05 | 0.2580 | 12.3182 |
0.009 | 6.877 | 2.08976 | 1.50777 | 1398.15 | 0.2008 | 12.6456 |
0.01 | 6.858 | 2.08744 | 1.5061 | 1251.39 | 0.1797 | 12.7829 |
0.03 | 6.813 | 1.75646 | 1.26729 | 411.675 | 0.0591 | 14.2142 |
0.05 | 6.560 | 1.55204 | 1.1198 | 229.0 | 0.0329 | 14.8798 |
0.07 | 7.001 | 1.398787 | 1.00923 | 186.303 | 0.0267 | 15.3182 |
0.09 | 7.065 | 1.26883 | 0.915466 | 147.564 | 0.0212 | 15.6456 |
0.1 | 7.107 | 1.16447 | 0.84017 | 134.391 | 0.0193 | 15.7829 |
0.2 | 7.905 | 0.807264 | 0.582444 | 83.1328 | 0.0119 | 16.6860 |
0.3 | 10.937 | 0.641067 | 0.462532 | 106.09 | 0.0152 | 17.2142 |