The periodic orbits of the second kind in terms of Giacaglia's variables with oblateness

Physics

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Canonical Forms, Celestial Mechanics, Oblate Spheroids, Orbit Calculation, Orbit Perturbation, Differential Equations, Equations Of Motion, Three Body Problem

Scientific paper

Periodic orbits of the second kind in Giacaglia's (1967) variables is studied using analytic continuation. Secular perturbing potential due to oblateness is used to establish the existence of these orbits in the planar restricted three-body problem when the more massive primary is an oblate spheroid with the equatorial plane coincident with the plane of motion.

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