Generalized Riemann ellipsoids - Equilibrium and stability

Details Generalized Riemann ellipsoids - Equilibrium and stability Generalized Riemann ellipsoids - Equilibrium and stability

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...246...59f&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 246, no. 1, June 1991, p. 59-70.

Astronomy and Astrophysics

Astrophysics

6

Dynamic Stability, Elliptical Galaxies, Galactic Structure, Riemann Manifold, Velocity Distribution, Angular Momentum, Angular Velocity, Harmonics, Jeans Theory, Precession, Virial Theorem, Vorticity

Scientific paper

Generalization of the velocity field in an anisotropic and inhomogeneous ellipsoid to the nonlinear case proposed by Filippi et al. (1990) is extended to cover the most general directions of the vorticity and angular velocity. A Roberts form for density is used instead of the restricted Ferrers density. Equilibrium sequences are determined, and their stability against odd and even modes of oscillation is discussed. Dedekind's and Riemann's theorems are extended. The dynamical case and the angular momentum, precession, vorticity, and energy of the sequences are also examined.

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