Approximate analytical solutions of the Lane-Emden equation for a self-gravitating isothermal gas sphere

被引：14

作者：

Mirza, Babur M. ^{[1
]}

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2009年 / 395卷 / 04期

关键词：

methods: analytical; stars: general; stars: interiors; galaxies: clusters: general; galaxies: general; POLYTROPES;

D O I：

10.1111/j.1365-2966.2009.14697.x

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The isothermal Lane-Emden equation arises in many astrophysical problems, in particular in modelling of a self-gravitating, polytropic gas in a spherically symmetric configuration. In this work, the isothermal Lane-Emden equation is investigated using the fractional approximation technique. The method provides an efficient and accurate way of obtaining approximate analytic solution to the Lane-Emden equation thus is useful in the modelling of self-gravitating gaseous spheres in astrophysics.

引用

页码：2288 / 2291

页数：4

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