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Hill-type periodic orbits in the restricted three-body problem with oblate primaries

Daniel Paşca,Cristina Stoica

ASTROPHYSICS AND SPACE SCIENCE（2020）

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Abstract
We consider the planar circular restricted three body problem with oblate primaries. Using a suitable symplectic scaling and the Poincaré continuation method, we prove that in the proximity of any of the primaries there exist unstable periodic orbits.
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Key words
Restricted three-body problem,Oblate primaries,Poincare continuation method,Periodic orbits,Stability
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