Stability of spherical stellar systems for aspherical modes.
Abstract
Spherically symmetric stellar systems with distribution function depending only on the energy are considered. Using the second variation of energy and the corresponding eigenvalue equation, it is shown that the condition that the derivative of the distribution function with respect to energy be less than zero is a sufficient condition of stability for aspherical modes. This gives a new demonstration of the result obtained by Antonov using his functional.
 Publication:

Academie des Sciences Paris Comptes Rendus Serie B Sciences Physiques
 Pub Date:
 June 1980
 Bibcode:
 1980CRASB.290..545G
 Keywords:

 Galaxies;
 Star Clusters;
 Star Distribution;
 Stellar Systems;
 Asphericity;
 Distribution Functions;
 Energy Distribution;
 Poisson Equation;
 Astrophysics;
 Stellar Systems:Stability