Riemann Ellipsoids with Spherical Halos

Details Riemann Ellipsoids with Spherical Halos Riemann Ellipsoids with Spherical Halos

Jan 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002ap.....45..100a&link_type=abstract

Astrophysics (English translation of Astrofizika), v. 45, Issue 1, p. 100-112 (2002).

Astronomy and Astrophysics

Astrophysics

Scientific paper

Possible ellipsoidal figures of equilibrium are obtained for a rotating, gravitating fluid mass with internal mass flows of constant vorticity, embedded inside a homogeneous gravitating sphere. The classical ellipsoidal figures of equilibrium are generalized and new S-ellipsoids and ellipsoids with oblique rotation are obtained. The stability of embedded S-ellipsoids is investigated and the criterion for their stability is obtained. The existence of an ellipsoid with oblique rotation of type II inside a relatively dense halo becomes impossible.

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