A variational principle for determining the oscillations and stability of stellar systems

Details A variational principle for determining the oscillations and stability of stellar systems A variational principle for determining the oscillations and stability of stellar systems

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...314...47e&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 314, March 1, 1987, p. 47-56.

Astronomy and Astrophysics

Astrophysics

2

Galactic Structure, Stellar Motions, Stellar Systems, Systems Stability, Variational Principles, Astronomical Models, Hydrodynamics, Stellar Rotation, Virial Theorem

Scientific paper

A variational principle is derived for the study of the stability and oscillations of three-dimensional stellar systems. This principle is used to motivate a stellar dynamical analog of the hydrodynamical virial method. The frequencies of several modes in a uniformly rotating stellar-dynamical polytrope are calculated by the variational principle. It is found that such systems first becomes unstable via a transverse shear mode.

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