Instabilities of an n-component 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:
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- Dynamical Systems;
- Gravitation;
- Spiral Galaxies;
- Systems Stability;
- Asymptotes;
- Roots Of Equations;
- Astrophysics