Oblateness Perturbations to Fourth Order

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Stellar Dynamics, Earth, Planets And Satellites: General

Scientific paper

Using a new perturbation technique we compute the variations in orbital elements of a satellite of an oblate primary up to the fourth order in the perturbation parameter. The critical-inclination issue is re-examined, and the simple nature of the corresponding solution illustrated. The paper can serve as a model for dealing with any other perturbation of this kind.

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