Analytic and numerical calculations of the radial stability of the isothermal sphere

We use an approximate, analytic solution to the full radial extent of the non-singular, isothermal, self-gravitating sphere to derive analytically the general properties of the resulting spheres, and their stability to radial perturbations. We rederive the stability criterion of Bonnor and Ebert, and confirm analytically their (numerical) results. Finally, we compute spherically symmetric simulations of the time-dependent, Lagrangean, gas-dynamic equations, showing that the transition between stable and unstable solutions does occur for a value of the outer radius of the sphere close to the one obtained from Bonnor's stability criterion.

Bibliographic Details

Main Authors:	Raga,A. C., Rodríguez-Ramírez,J. C., Rodríguez-González,A., Lora,V., Esquivel,A.
Format:	Digital revista
Language:	English
Published:	Universidad Nacional Autónoma de México, Instituto de Astronomía 2013
Online Access:	http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0185-11012013000100014
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