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.

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