Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976a%26a....48..467g&link_type=abstract
Astronomy and Astrophysics, vol. 48, no. 3, May 1976, p. 467-474.
Astronomy and Astrophysics
Astrophysics
17
Angular Momentum, Astronomical Models, Gravitational Effects, Star Clusters, Stellar Gravitation, Stellar Systems, Systems Stability, Gravitation Theory, Kinetic Energy, Perturbation, Space Density, Stellar Motions
Scientific paper
The stability of a self-gravitating spherically symmetric stellar system to aspherical perturbations is studied in the case where the distribution function (F) depends on both the energy (E) and the square of the angular momentum (J). The density derivatives are defined in terms of F and its derivatives are used to formulate an expression for the marginal mode. A multiple-waterbag model is employed to obtain a conserved quantity that is always positive for aspherical modes when both dF/dE and dF/dJ are less than zero. It is concluded that the system is always stable when these conditions are satisfied.
Baumann Germain
Doremus J.-Pierre
Gillon D.
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