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

Astronomy and Astrophysics – Astronomy

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Methods: Analytical, Stars: General, Stars: Interiors, Galaxies: Clusters: General, Galaxies: General

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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.

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S.P. Narayan

I am using this work in my research project, its very useful new method.

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