Instabilities of an ncomponent homogeneous gravitating medium
Abstract
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.
 Publication:

Pisma v Astronomicheskii Zhurnal
 Pub Date:
 February 1991
 Bibcode:
 1991PAZh...17..170F
 Keywords:

 Dynamical Systems;
 Gravitation;
 Spiral Galaxies;
 Systems Stability;
 Asymptotes;
 Roots Of Equations;
 Astrophysics