A sufficient condition for stability of a rotating body

Details A sufficient condition for stability of a rotating body A sufficient condition for stability of a rotating body

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...179..383h&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 179, no. 1-2, June 1987, p. 383-385.

Astronomy and Astrophysics

Astrophysics

17

Adiabatic Conditions, Astrophysics, Dynamic Stability, Kelvin-Helmholtz Instability, Perturbation, Rotating Bodies, Angular Velocity, Axisymmetric Bodies, Brunt-Vaisala Frequency, Compressibility Effects, Inviscid Flow, Linear Equations

Scientific paper

A sufficient condition for stability is obtained for adiabatic perturbations superimposed on axisymmetrically rotating bodies in equilibrium. A rotating body is found to be stable when its angular velocity is uniform and the Brunt Väisälä frequency is real. An upper limit on the growth rate of unstable perturbations is also derived. This condition is obtained without using the Boussinesq approximation and the short wavelength approximation on both of which Fujimoto (1987) has depended exclusively.

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