Remark on the Polytrope of Index 5

Author:

Buchdahl HA

Abstract

Contrary to statements in the current literature the gravitational potential energy of the poly trope of index 5 is finite; With e. denoting the least positive zero of the Emden function of index n, the value of the limit as n -4 5 of (5 - n)e. is determined and made the basis of a simple rational approximation to e. qua function of n.

Publisher

CSIRO Publishing

Subject

General Physics and Astronomy

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the Instability of Polytropic Maclaurin and Roche Ellipsoids;The Astrophysical Journal;2019-05-16

2. Tidal Love numbers and moment–Love relations of polytropic stars;Monthly Notices of the Royal Astronomical Society;2017-09-13

3. Perturbative solution to the Lane–Emden equation: an eigenvalue approach;Monthly Notices of the Royal Astronomical Society;2016-11-23

4. Constructing analytic approximate solutions to the Lane–Emden equation;Physics Letters A;2015-09

5. Optimal -Control for the Global Cauchy Problem of The Relativistic Vlasov-Poisson System;Transport Theory and Statistical Physics;2011-12-02

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