An analytic approximation to the isothermal sphere

Details An analytic approximation to the isothermal sphere An analytic approximation to the isothermal sphere

1996-04-16

arxiv.org/abs/astro-ph/9604084v2

Astronomy and Astrophysics

Astrophysics

6 pages, figures included, revised version, accepted for publication in MNRAS

Scientific paper

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.

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