Generalized Riemann configurations and Dedekind's theorem - The case of non-linear internal velocities

Details Generalized Riemann configurations and Dedekind's theorem - The case of non-linear internal velocities Generalized Riemann configurations and Dedekind's theorem - The case of non-linear internal velocities

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...231...30f&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 231, no. 1, May 1990, p. 30-40.

Astronomy and Astrophysics

Astrophysics

6

Elliptical Galaxies, Galactic Structure, Perturbation Theory, Riemann Manifold, Velocity Distribution, Dirichlet Problem, Equilibrium Equations, Stellar Motions

Scientific paper

The equilibrium equations for rotating heterogeneous and anisotropic ellipsoids are generalized here by introducing a nonlinear velocity field in the tensor form of the virial theorem. The Dedekind adjoint configurations are considered, recovering the Dedekind theorem in this more general case. A stability analysis is made concerning the odd and even modes of oscillation that belong to the second harmonic. The characteristic equations are derived and the general algorithms for their solutions are given.

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