Computer Science
Scientific paper
Aug 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phdt.........6l&link_type=abstract
Ph.D. Thesis Michigan Univ., Ann Arbor.
Computer Science
Gas Giant Planets, Planetary Gravitation, Planetary Rotation, Strata, Acoustics, Approximation, Brunt-Vaisala Frequency, Eigenvalues, Oscillations, Perturbation, Planetary Atmospheres
Scientific paper
The eigenfrequencies and the radial structure of acoustic, gravity and rotational modes are computed for a slowly rotating, weakly stratified, polytropic gaseous sphere. A scaling procedure is employed which allows the high frequency acoustic and external gravity modes and the lower frequency internal gravity and rotational modes to be treated separately. This method involves the use of the anelastic approximation for treating the low frequency modes, and shows, for these modes, that the effect of perturbations of the gravitational force on the eigenfrequencies is of secondary importance. Also, non-sphericity effects for all modes are found to be negligible. The internal gravity and rotational modes uncouple when the square of the ratio of the rotational frequency to that of the Brunt-Vaisala frequency is small. For this case, the lowest order r-modes are non-divergent Rossby-Haurwitz waves. The significance of the internal gravity and rotational modes in understanding the dynamics of the atmospheres of the Jovian planets is also discussed.
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