Perturbation of a satellite orbiter by the oblateness of the primary planet

Mathematics

Scientific paper

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Gravitational Effects, Oblate Spheroids, Orbit Perturbation, Planetary Gravitation, Satellite Perturbation, Jupiter (Planet), Neptune (Planet), Orbital Elements, Perturbation Theory, Saturn (Planet), Uranus (Planet)

Scientific paper

The perturbation of an orbiter around a large satellite of a giant planet (Jupiter, Saturn, Uranus, or Neptune) produced by the oblateness of the planet is investigated. The perturbing force of the J2 term (general case) and the J4 term (special case of small eccentricity and inclination) is expanded in an appropriate form, and the main term and the parallactic term are given explicitly. The variations of the orbital elements are derived using the stroboscopic method. An example shows that the perturbation of the orbit cannot be neglected.

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