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.
2015-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
