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The Gravitational Zones of Influence of the Planets Acting on Small Celestial Bodies

Published online by Cambridge University Press:  12 April 2016

N.Y. Misconi  and
E.T. Rusk
N.Y. Misconi
Affiliation:
Space Astronomy Laboratory, University of Florida, 1810 N.W. 6th St., Gainesville, Florida 32609
E.T. Rusk
Affiliation:
Department of Astronomy, University of Florida, Gainesville, Florida 32611

Abstract

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Tisserand’s definition of the “sphere of action” of a planet is based on the equality of tidal vs. gravitational acceleration ratios of the sun and planet. Öpik and others based their relation on equating the differential solar and planetary forces on a particle. Neither expression was formulated to describe the zone of influence surrounding a planet when considering the small, but significant, long-term perturbative effects of the planets on a particle’s orbital elements. For the purpose of determining these effects on interplanetary dust we derive a zone of influence based on equating the gravitational forces of the sun and planet.

Type
VII. Dynamics of Interplanetary Dust
Information
International Astronomical Union Colloquium , Volume 85: Properties and Interactions of Interplanetary Dust , 1985 , pp. 377 - 380
Copyright
Copyright © Reidel 1985

References

1. Tisserand, F., Traite de Mecanique Celeste Gauthier-Villars, Paris, 1889.Google Scholar
2. Öpik, E.J., Proc. Royal Irish Acad. 54, 165–199, 1951.Google Scholar