Natural oscillations of the giant planets - The influence of differential rotation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gas Giant Planets, Oscillations, Planetary Rotation, Centrifugal Force, Coriolis Effect, Ellipticity, Jupiter (Planet), Perturbation Theory, Saturn (Planet), Spherical Harmonics, Stellar Oscillations

Scientific paper

The apparatus of perturbation theory is developed for determining the influence of differential rotation on the natural oscillations of a gas-liquid planet or star. The influence of all rotation effects - Coriolis forces, centrifugal forces, and ellipticity - is studied within the framework of a unified second-order perturbation theory. Numerical calculations of the oscillation spectra of Jupiter and Satu

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