Table 1 The zeroth of the Emden function (ξ1) and the ratio of the central density to the mean density (\(\rho_{c} /\overline{\rho }\)) of the TMD polytropes with polytopic indexes n = 1 and n = 3.
From: Stellar structure via truncated M-fractional Lane–Emden solutions
n = 1 | n = 3 | |||||||
|---|---|---|---|---|---|---|---|---|
α | 1 | 1 | 0.95 | 0.90 | 1 | 1 | 0.95 | 0.9 |
β | 1 | 0.95 | 0.95 | 0.90 | 1 | 0.95 | 0.95 | 0.9 |
x1 | 3.141 | 3.206 | 3.229 | 3.314 | 6.891 | 7.229 | 7.386 | 7.935 |
\(\rho_{c} /\overline{\rho }\) | 3.205 | 3.413 | 3.595 | 4.035 | 52.431 | 56.532 | 63.641 | 78.657 |
