Rotationally symmetric oscillations of a gravitating ellipsoid of revolution having a corona
Abstract
On the basis of hydrodynamic considerations, the influence of a spherical corona on the stability of rotationally symmetric oscillations of an inner ellipsoidal subsystem is analyzed by a linear theory. A relation is derived that expresses the critical eccentricity value at which the ellipsoid becomes unstable for a given corona density. As the ambient density increases, so does the critical eccentricity. Hence the corona has a stabilizing effect on the inner body.
 Publication:

Astronomicheskii Zhurnal
 Pub Date:
 February 1978
 Bibcode:
 1978AZh....55...37N
 Keywords:

 Celestial Mechanics;
 Coronas;
 Ellipsoids;
 Galactic Rotation;
 Galactic Structure;
 Gravitational Fields;
 Bodies Of Revolution;
 Eccentricity;
 Hydrodynamics;
 Linear Equations;
 Oscillations;
 Astrophysics