Stability of bidimensional stellar systems in uniform rotation for non-axisymmetrical modes

Details Stability of bidimensional stellar systems in uniform rotation for non-axisymmetrical modes Stability of bidimensional stellar systems in uniform rotation for non-axisymmetrical modes

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....68...47c&link_type=abstract

Astronomy and Astrophysics, vol. 68, no. 1-2, Aug. 1978, p. 47-55.

Astronomy and Astrophysics

Astrophysics

Galactic Rotation, Gravitational Fields, Motion Stability, Self Consistent Fields, Stellar Motions, Stellar Systems, Angular Velocity, Astronomical Models, Perturbation Theory, Polytropic Processes, Rotary Stability

Scientific paper

The linear stability of bidimensional stellar systems in uniform rotation is studied for nonaxisymmetric perturbations in the case where the distribution function depends on the generalized energy and satisfies the stability condition for axisymmetric perturbations. The second variation of total energy is used to show that if the square of the angular velocity is smaller than some limiting value, these stellar systems are stable when the density is a decreasing function of radius. This criterion is applied to the polytropic model.

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