# Constructing analytic approximate solutions to the Lane-Emden equation

### Abstract

We derive analytic approximations to the solutions of the Lane–Emden equation, a basic equation in Astrophysics that describes the Newtonian equilibrium structure of a self-gravitating polytropic fluid sphere. After recalling some basic results, we focus on the construction of rational approximations, discussing the limitations of previous attempts, and providing new accurate approximate solutions.

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Publication
Physics Letters A, (379), 32-33, pp. 1802 - 1807, https://doi.org/10.1016/j.physleta.2015.05.012
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