On the evolution of the homogeneous ellipsoidal figures.
Abstract
Some effects of viscosity and gravitational radiation on the evolution of homogeneous ellipsoidal figures away from an axisymmetric state are investigated. The general equations of motion governing the evolution with both dissipative effects included are reviewed, and approximate schemes are developed for economical largescale integration of the equations as well as for suppressing smallscale hydrodynamic oscillations about quasiequilibrium Riemann S figures. The equations of motion are integrated numerically for slowly varying ellipsoidal figures. Qualitative features of the evolution are illustrated for ellipsoids with varying amounts of viscosity and gravitationalradiation reaction, for the limiting cases of purely viscous or purely radiative evolution, and for the critical case where the Maclaurin sequence is stabilized all the way to the point of onset of a dynamical instability. Several intermediate cases are also examined.
 Publication:

The Astrophysical Journal
 Pub Date:
 April 1977
 DOI:
 10.1086/155144
 Bibcode:
 1977ApJ...213..193D
 Keywords:

 Dynamic Stability;
 Ellipsoids;
 Gravitational Waves;
 Radiation Effects;
 Viscosity;
 Equations Of Motion;
 Evolution (Development);
 Homogeneity;
 Hydrodynamics;
 Rotating Bodies;
 Viscous Damping;
 Astrophysics