Spectrum of Natural Vibrations of the Ice Ocean of Jupiter's Moon Europa

Details Spectrum of Natural Vibrations of the Ice Ocean of Jupiter's Moon Europa Spectrum of Natural Vibrations of the Ice Ocean of Jupiter's Moon Europa

May 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cosre..41..257d&link_type=abstract

Cosmic Research, v. 41, Issue 3, p. 257-263 (2003).

Mathematics

1

Scientific paper

The hydroelastic vibrations of the ice surface of the ocean of Europa, a natural satellite of Jupiter, are investigated, and the natural spectrum of frequencies of this surface is determined. The mathematical model of the mechanical system under consideration is presented in the form of a spherical shell, which is wetted by a spherical layer of liquid enveloping a rigid spherical core. The solution of the boundary value problems of the theory of elasticity is sought in the form of expansions into series of the associated Legendre polynomials. It is noted that there are at least three tones of natural vibrations of the ``shell-spherical liquid layer'' system, whose periods lie in the vicinity of the ten-hour period of Jupiter's rotation about its axis, and variations of the magnetic field of Europa with the same period.

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