Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...408..603l&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 408, no. 2, p. 603-614.
Astronomy and Astrophysics
Astrophysics
8
Flow Stability, Nonstabilized Oscillation, Stellar Rotation, Angular Velocity, Equations Of Motion, Wentzel-Kramer-Brillouin Method
Scientific paper
We reconsider the result, due to Goldreich & Schubert (1967), that a differentially rotating star with an angular velocity depending on the vertical coordinate or violating Rayleigh's criterion is unstable in the presence of a dissipative mechanism. The outcome confirms the result in a manner free of some of the objections that have been raised against it. It further shows that not only Rayleigh's criterion but also Schwarzschild's criterion must be satisfied for stability to axisymmetric perturbations. The choice of small parameter singles out a wavelength band for which the linearized instability develops on the dynamical time scale. The mathematical method used is more precise than those that have previously been used in this context in that conditions can be found under which it can rigorously be shown to provide an asymptotic solution to the linearized equations of motion.
Lebovitz Norman
Lifschitz Alexander
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