Acoustic Oscillations of Jupiter

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Scientific paper

We calculate acoustic (p-mode) oscillations of the giant planet Jupiter. We take account of both the Coriolis force and the centrifugal force produced by the rapid rotation of Jupiter in computing the oscillations and the equilibrium state of the planet. It is well known that oscillation frequencies of nonradial oscillations of non-rotating stars are degenerate in the index m for a given degree l. In rotating stars, the Coriolis force gives a first-order correction in the rotation frequency Omega to the oscillation frequencies, thus removing the degeneracy in m and yielding equally spaced frequency splittings. Although the effect of the centrifugal force is second order in Omega and also appears as a deformation of the equilibrium state, this second-order effect is quite important in determining the precise frequencies of the p-mode oscillations of rapidly rotating bodies like Jupiter. In the present analysis, we employ two realisitic models for Jupiter based on physical equations of state, one model contains a Plasma Phase Transition (PPT) in the hydrogen-rich envelope, and the other does not. The PPT is a first-order phase transition which yields a density discontinuity in the envelope, and we compare our theoretical frequency spectrum with that obtained by a recent observation.

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