Abstract
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.
Similar content being viewed by others
REFERENCES
Cassen, P.M., Reynolds, R.T., and Peale, S.J., Is There Liquid Water on Europa?, Geophys. Res. Lett., 1978, vol.5, pp. 731-734.
Williams, K.K. and Greeley, R., Estimates of Ice Thickness in the Conamara Chaos Region of Europa, Geophys. Res. Lett., 1998, vol. 25, pp. 4273-4276.
Pappalardo, R.R., Head, J.W., and Greeley, R., The Hidden Ocean of Europa, Sci. American, October 1999, vol. 281(4), pp. 54-63.
Greenberg, R., Hoppa, G.V., Tufts, B.R., et al., Chaos on Europa, Icarus, 1999, vol. 141, pp. 263-286.
Stevenson, D.J., Limits of Variation of the Thickness of Europa's Ice Shell, Lunar Planet. Sci., 2000, vol. 31, Abstract 1506.
Kivelson, M.G., Khurana, K.K., Russel, C.T., et al., Galileo Magnetometer Measurements. A Stronger Case for a Subsurface Ocean of Europa, Science, 2000, vol. 289, pp.-1340-1343.
Kovach, R.L. and Chyba, C.F., Seismic Detectability of a Subsurface Ocean on Europa, Icarus, 2001, vol. 150, no. 2, pp. 279-287.
Vlasov, V.Z., Izbrannye trudy. T. 1 (Collected Papers, Vol. 1), Moscow: USSR Academy of Sciences, 1962.
Kobychkin, V.S. and Shmakov, V.P., Investigation of Vibration Frequencies of a Spherical Shell Filled with Liquid, Stroitel'naya mekhanika i raschet sooruzhenii, 1969, no. 2, pp. 49-54.
Dokuchaev, L.V., Equations of Elastic Vibrations of a Cavity Partially Filled with Liquid, Izv. Akad. Nauk SSSR, Mekh., 1965, no. 3, pp. 149-153.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dokuchaev, L.V. Spectrum of Natural Vibrations of the Ice Ocean of Jupiter's Moon Europa. Cosmic Research 41, 257–263 (2003). https://doi.org/10.1023/A:1024055015990
Issue Date:
DOI: https://doi.org/10.1023/A:1024055015990