Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....89..314s&link_type=abstract
Astronomy and Astrophysics, vol. 89, no. 3, Sept. 1980, p. 314-335.
Astronomy and Astrophysics
Astrophysics
10
Flow Stability, Rotating Fluids, Hydrostatics, S Matrix Theory, Spherical Harmonics
Scientific paper
The normal modes of oscillations of a rotating fluid have been expressed in terms of those of a nonrotating and convectively neutral fluid. The p-modes accept a double perturbation expansion in which the rotation and deviation of the fluid from convective neutrality are considered as two perturbation parameters. The g-modes do not yield to such a treatment. Their strong interaction with toroidal displacements of the fluid violates the criteria for perturbation expansions. Axisymmetric and nonaxisymmetric modes of the fluid are treated in their full generality. Some numerical values of the p-eigenvalues and eigenvectors in different perturbation orders and for different spherical harmonic numbers are presented.
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