Instabilities of an n-component homogeneous gravitating medium

Details Instabilities of an n-component homogeneous gravitating medium Instabilities of an n-component homogeneous gravitating medium

Feb 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pazh...17..170f&link_type=abstract

Pis'ma v Astronomicheskii Zhurnal (ISSN 0320-0108), vol. 17, Feb. 1991, p. 170-176. In Russian. In Russian.

Mathematics

Dynamical Systems

Dynamical Systems, Gravitation, Spiral Galaxies, Systems Stability, Asymptotes, Roots Of Equations

Scientific paper

A theorem on the number of instabilities of a gravitating system consisting of an arbitrary number (n) of homogeneous components moving relative to one another is demonstrated. The theorem states that the number of instabilities of a homogeneous gravitating system consisting of n components moving in this manner is equal to the number of independent elements. The results are of interest in connection with investigations of the stability of spiral galaxies.

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