The stability of one-dimensional stellar systems

Details The stability of one-dimensional stellar systems The stability of one-dimensional stellar systems

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982crasb.295..477g&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie II - Mecanique, Physique, Chimie, Sciences de l'Univers, Sciences de la Ter

Astronomy and Astrophysics

Astronomy

Distribution Functions, Star Clusters, Stellar Systems, Systems Stability, Astronomical Models, Energy Distribution, Poisson Equation

Scientific paper

One-dimensional stellar systems which are described by a distribution function which depends on the system energy are demonstrated to be monotonically decreasing, with the changes in the distribution function with respect to changes in the energy always having a negative value. A necessary condition for the stability is analytically defined, with the second variation of the equilibrium potential formulated by the Poisson equation, with respect to the x-plane, also having a negative value. The condition is obtained by means of the water-bag model of Feix et al. (1971).

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