The natural oscillations of giant planets - Effects of rotation and ellipticity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Ellipticity, Free Vibration, Oscillations, Planetary Mass, Planetary Rotation, Centrifugal Force, Coriolis Effect, Gases, Jupiter (Planet), Perturbation Theory, Planetary Composition, Planetary Structure, Saturn (Planet), Stellar Mass, Vibration Mode

Scientific paper

The effects of phenomena induced by planetary rotation on the natural oscillations of gaseous-liquid giant planets or stars are investigated. A second-order perturbation theory approach is developed to specify the effects of Coriolis forces, centrifugal forces and planetary shape deformation on the oscillation frequencies and eigenfunctions of adiabatic, two-layer composition models with two density discontinuities corresponding to the internal structures of Jupiter and Saturn. Calculations also take into account the effects of the rotational coupling of the various oscillation modes. Numerical results in the form of oscillation spectra are illustrated for the cases of Jupiter and Saturn.

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