The Riemann disks. II - Stability

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Disk Galaxies, Dynamic Stability, Galactic Structure, Ellipsoids, Hydrodynamics, Modal Response, Perturbation Theory, Poisson Equation

Scientific paper

The Riemann disks are the two-dimensional analogs of the Riemann S-type
ellipsoids. They form a simple yet rich family of galactic bar models. A
method is developed to find their normal modes to arbitrary order, and
the stability analysis is carried out for all modes with order not
greater than 5.

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