Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...176...53f&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 176, no. 1, April 1987, p. 53-58.
Astronomy and Astrophysics
Astrophysics
38
Celestial Bodies, Dynamic Stability, Gravitational Effects, Perturbation Theory, Rotating Bodies, Adiabatic Conditions, Angular Momentum, Axisymmetric Bodies, Inviscid Flow, Thermodynamic Properties
Scientific paper
A global normal mode analysis is used to establish some sufficient conditions for stability of gravitationally stratified, differentially rotating systems to non-axisymmetric, adiabatic perturbations. In the Boussinesq approximation, two conditions are derived, which are valid for any rotation law in the short wavelength limit. One is the generalization of the Richardson criterion for the Kelvin-Helmholtz instability, originally found in plane-parallel flows. The other places constraints on variations in the angular velocity and in the density on an isobaric surface, and hence, is related to the barotropic and baroclinic instabilities on a sphere.
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