The stability of spherical stellar systems with respect to aspherical modes

Details The stability of spherical stellar systems with respect to aspherical modes The stability of spherical stellar systems with respect to aspherical modes

Jun 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980crasb.290..545g&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie B - Sciences Physiques, vol. 290, no. 24, June 30, 1980, p. 545-547. In Fre

Physics

Galaxies, Star Clusters, Star Distribution, Stellar Systems, Asphericity, Distribution Functions, Energy Distribution, Poisson Equation

Scientific paper

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.

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