Abstract
view Abstract Citations References (13) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Stability analysis of slow spherical motion for a gravitating fluid Livio, M. ; Buchler, J. R. ; Pesnell, W. D. Abstract 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. Publication: The Astrophysical Journal Pub Date: January 1981 DOI: 10.1086/158627 Bibcode: 1981ApJ...243..617L Keywords: Flow Stability; Hydrodynamics; Stellar Gravitation; Stellar Oscillations; Compressible Fluids; Eigenvalues; Gravitational Collapse; Astrophysics full text sources ADS |
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