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Constructing analytic approximate solutions to the Lane-Emden equation

TitoloConstructing analytic approximate solutions to the Lane-Emden equation
Tipo di pubblicazioneArticolo su Rivista peer-reviewed
Anno di Pubblicazione2015
AutoriIacono, Roberto, and De Felice Matteo
RivistaPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume379
Paginazione1802-1807
ISSN03759601
Abstract

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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URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84930040763&doi=10.1016%2fj.physleta.2015.05.012&partnerID=40&md5=c92d0b98170f719043508bc6be529423
DOI10.1016/j.physleta.2015.05.012
Citation KeyIacono20151802