Stability analysis of slow spherical motion for a gravitating fluid

Details Stability analysis of slow spherical motion for a gravitating fluid Stability analysis of slow spherical motion for a gravitating fluid

Jan 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...243..617l&link_type=abstract

Astrophysical Journal, Part 1, vol. 243, Jan. 15, 1981, p. 617-624.

Astronomy and Astrophysics

Astrophysics

Flow Stability, Hydrodynamics, Stellar Gravitation, Stellar Oscillations, Compressible Fluids, Eigenvalues, Gravitational Collapse

Scientific paper

The stability of equations governing the spherical motion of a gravitating compressible fluid against adiabatic perturbations is analyzed. Assuming that the perturbation of the gravitational potential can be neglected and that motion is slow, a perturbative approach is used to obtain first-order corrections to the hydrostatic eigenvalues. The expression for this correction may be used to study the effect of velocity and acceleration fields on both stable and unstable hydrostatic modes. When applied to the homogeneous compressible case the correction gives the expected results, and stability criteria can be obtained for specific modes. Possible implications for the study of stellar collapse are noted.

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