Publication

Nonlinear Stability of Riemann Ellipsoids with Symmetric Configurations

2009
Journal Articles

Abstract

Using modern differential geometric methods, we study the relative equilibria for Dirichlet's model of a self-gravitating fluid mass having at least two equal axes. We show that the only relative equilibria of this type correspond to Riemann ellipsoids for which the angular velocity and vorticity are parallel to the same principal axis of the body configuration. The two solutions found are MacLaurin and transversal spheroids.

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2009
Journal Articles

Abstract

Official source

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Related publications (32)

Nonlinear Stability of Riemann Ellipsoids with Symmetric Configurations

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