An analytic approximation to the isothermal sphere
Astrophysics
2015-06-24 v2
Abstract
We present a useful analytic approximation to the solution of the Lane-Emden equation for infinite polytropic index - the isothermal sphere. The optimized expression obtained for the density profile can be accurate to within 0.04% within 5 core-radii and to 0.1% within 10 core-radii.
Cite
@article{arxiv.astro-ph/9604084,
title = {An analytic approximation to the isothermal sphere},
author = {Priyamvada Natarajan and Donald Lynden-Bell},
journal= {arXiv preprint arXiv:astro-ph/9604084},
year = {2015}
}
Comments
6 pages, figures included, revised version, accepted for publication in MNRAS