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A variational principle for determining the oscillations and stability of stellar systems
The Astrophysical Journal1987Vol. 314, pp. 47–47
Abstract
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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