Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977apj...213..193d&link_type=abstract
Astrophysical Journal, Part 1, vol. 213, Apr. 1, 1977, p. 193-199.
Astronomy and Astrophysics
Astrophysics
32
Dynamic Stability, Ellipsoids, Gravitational Waves, Radiation Effects, Viscosity, Equations Of Motion, Evolution (Development), Homogeneity, Hydrodynamics, Rotating Bodies, Viscous Damping
Scientific paper
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 large-scale integration of the equations as well as for suppressing small-scale hydrodynamic oscillations about quasi-equilibrium 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 gravitational-radiation 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.
Detweiler Steven L.
Lindblom Lee
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