The free oscillations of Jupiter and Saturn

Details The free oscillations of Jupiter and Saturn The free oscillations of Jupiter and Saturn

Jan 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976icar...27..109v&link_type=abstract

Icarus, vol. 27, Jan. 1976, p. 109-118.

Astronomy and Astrophysics

Astronomy

25

Free Vibration, Jupiter (Planet), Planetary Structure, Saturn (Planet), Astronomical Models, Boundary Value Problems, Cores, Eigenvectors, Perturbation Theory, Planetary Gravitation, Resonant Frequencies

Scientific paper

The periods and the eigenfunctions have been calculated for the fundamental modes and for the overtones of spheroidal oscillations of Jupiter and Saturn. Along with ordinary oscillations, the core oscillations appear; these eigenfunctions are localized in the planetary core and have an exponential attenuation to the surface. The rotational splittings of the free oscillations have been calculated. Because of rapid planetary rotation, these splittings were found to be of the order of differences between undisturbed frequencies. The idea is proposed that the rotational splitting of the spectrum of Saturn may present in the future the unique possibility of determining the bodily rotation period of the planet.

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