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

Physics

Scientific paper

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Natural Satellites, Oblate Spheroids, Orbit Perturbation, Outer Planets Explorers, Disturbing Functions, Euler-Lagrange Equation, Orbital Elements, Planets, Power Series, Satellite Orbits

Scientific paper

The perturbation is investigated produced by the oblateness of a giant planet (Jupiter, Saturn, Uranus or Neptune) acting on an orbiter around one of its large satellites. The perturbing force of the Jn-terms is expanded in an appropriate form in a double series of powers of a/p sub d and powers of t, and the variations of the orbital elements of the orbiter are derived. An example shows that the perturbation of the orbit cannot be neglected.

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