Figures of equilibrium of an inhomogeneous self-gravitating fluid

Abstract

This paper is concerned with the figures of equilibrium of a self-gravitating ideal fluid with density stratification and a steady-state velocity field. As in the classical setting, it is assumed that the figures or their layers uniformly rotate about an axis fixed in space.

References in corpus (2)

• The restricted two-body problem in constant curvature spaces
• Stability Properties of the Riemann Ellipsoids

Cited by in corpus (4)

• The flattenings of the layers of rotating planets and satellites deformed by a tidal potential
• Nemchinov-Dyson Solutions of the Two-Dimensional Axisymmetric Inviscid Compressible Flow Equations
• Nested spheroidal figures of equilibrium -- IV. On heterogeneous configurations
• Note on the attraction of an ellipsoid in a spherical universe