Nonlinear Stability of Riemann Ellipsoids with Symmetric Configurations

Abstract

We apply geometric techniques to obtain the necessary and sufficient conditions on the existence and nonlinear stability of self-gravitating Riemann ellipsoids having at least two equal axes.

References in corpus (3)

• Stability Properties of the Riemann Ellipsoids
• The Symplectic Normal Space of a Cotangent-Lifted Action
• Stability of relative equilibria with singular momentum values in simple mechanical systems

Cited by in corpus (2)

• Relative Critical Points
• Bifurcations of MacLaurin spheroids. A Hamiltonian perspective