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Approximate analytic solutions to the isothermal Lane-Emden equation

TitoloApproximate analytic solutions to the isothermal Lane-Emden equation
Tipo di pubblicazioneArticolo su Rivista peer-reviewed
Anno di Pubblicazione2014
AutoriIacono, Roberto, and De Felice Matteo
RivistaCelestial Mechanics and Dynamical Astronomy
Volume118
Issue3
Paginazione291-298
Data di pubblicazioneJan-03-2014
ISSN09232958
Abstract

We derive accurate analytic approximations to the solution of the isothermal Lane-Emden equation, a basic equation in Astrophysics that describes the Newtonian equilibrium structure of self-gravitating, isothermal fluid spheres. The solutions we obtain, using analytic arguments and rational approximations, have simple forms, and are accurate over a radial extent that is much larger than that covered by conventional series expansions around the origin. Our best approximation has a maximum error on density of 0.04 % at 10 core radii, and is still within 1 % from an accurate numerical solution at a radius three times larger. © 2014 Springer Science+Business Media Dordrecht.

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cited By 2

URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84894614608&doi=10.1007%2fs10569-014-9539-6&partnerID=40&md5=338b5f799552eac725ea67b1c91ae436
DOI10.1007/s10569-014-9539-6
Titolo breveCelest Mech Dyn Astr
Citation KeyIacono2014291