Periodic orbits of the second kind in the restricted three-body problem when the more massive primary is an oblate spheroid

Astronomy and Astrophysics – Astrophysics

Scientific paper

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

Scientific paper

Utilizing secular perturbing potential due to oblateness, the existence
of periodic orbits of the second kind is established through analytic
continuation using Delaunay's canonical variables in the planar
restricted three-body problem when the more massive primary is an oblate
spheroid with its equatorial plane coincident with the plane of motion

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