Polytropic gas spheres: An approximate analytic solution of the Lane-Emden equation

Details Polytropic gas spheres: An approximate analytic solution of the Lane-Emden equation Polytropic gas spheres: An approximate analytic solution of the Lane-Emden equation

1995-12-11

arxiv.org/abs/astro-ph/9512061v1

Mon.Not.Roy.Astron.Soc. 281 (1996) 1197

Astronomy and Astrophysics

Astrophysics

16 pages, plain tex file, five figures

Scientific paper

Polytropic models play a very important role in galactic dynamics and in the theory of stellar structure and evolution. However, in general, the solution of the Lane-Emden equation can not be given analytically but only numerically. In the Lane-Emden equation can not be given analytically but only numerically. In this paper we give a very good and simple analytic approximate solution of the Lane-Emden equation. This approximation is very good for any finite polytropic index $n$ and for the isothermal case (n equals infinity) at a level $<1\%$. We also give analytic expressions of the mass, pressure, temperature, and potential energy as a function of radius.

Affiliated with

Also associated with

No associations

Rating

Polytropic gas spheres: An approximate analytic solution of the Lane-Emden equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Polytropic gas spheres: An approximate analytic solution of the Lane-Emden equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polytropic gas spheres: An approximate analytic solution of the Lane-Emden equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-553501