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On the tidal function between two real bodies

Published online by Cambridge University Press:  25 May 2016

V. Shkodrov  and
V. Ivanova
V. Shkodrov
Affiliation:
Institute of Astronomy, Bulgarian Academy of Sciences 1784 Sofia, Blvd. Tsarigradsko shosse, 72
V. Ivanova
Affiliation:
Institute of Astronomy, Bulgarian Academy of Sciences 1784 Sofia, Blvd. Tsarigradsko shosse, 72

Abstract

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The general expression of the tidal function between two real bodies of arbitrary mass distribution has been derived. The case has been regarded when the distances between the bodies are comparable to their sizes. In this case, the effect of the body figure is substantial.

The relations obtained are utilized for the tidal influence of Jupiter on the surface of Io. It has been shown that Jupiter's shape (with J2 = 0.015) causes a deformation in the sub-Jupiter point of about 15m. This is approximately 10% of the total tidal deformation of Io caused by Jupiter's gravitation.

Type
Part VI - Earth and Deformable Celestial Bodies
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 251 - 254
Copyright
Copyright © Kluwer 1996 

References

1. Melchior, P. (1971), Physique et dynamique, Planetaires, Vol. 1.Google Scholar
2. Shkodrov, V. (1989), Planet Potential, Publishing House of Bulgarian Academy of Sciences, Sofia.Google Scholar