The size of the gravitational zone of influence of a planet acting on the orbital elements of small celestial bodies

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Celestial Mechanics, Cosmic Dust, Gravitational Effects, Interplanetary Medium, Orbital Elements, Planetary Gravitation, Computerized Simulation

Scientific paper

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 the particle. Neither expression was formulated to describe the zone of influence surrounding a planet when considering the small but significant (i.e. long-term) perturbative effects of the planets on a particle's orbital elements. For the purpose of determining these effects on interplanetary dust, the authors derive a zone of influence based on equating the gravitational forces of the sun and planet, and demonstrate its applicability by utilizing the particle's closest approach to the planet as a measure of the zone of influence.

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