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. © 2015 Elsevier B.V.

Constructing analytic approximate solutions to the Lane-Emden equation

De Felice, M.;Iacono, R.
2015

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. © 2015 Elsevier B.V.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12079/2247
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