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arXiv · 2007.01619

Generalized periodic orbits in some restricted three-body problems

Rafael Ortega·Lei Zhao
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Abstract

We treat the circular and elliptic restricted three-body problems in inertial frames as periodically forced Kepler problems with additional singularities and explain that in this setting the main result of [4] is applicable. This guarantees the existence of an arbitrary large number of generalized periodic orbits (periodic orbits with possible double collisions regularized) provided the mass ratio of the primaries is small enough.

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Rafael Ortega, Lei Zhao. 2020-07-03. Generalized periodic orbits in some restricted three-body problems. https://doi.org/10.1007/s00033-021-01470-5

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