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Generalized periodic orbits in some restricted three-body problems

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arxiv 2007.01619 v1 pith:QQDEHFOO submitted 2020-07-03 math.DS math.CA

Rafael Ortega , Lei Zhao This is my paper · ORCID
classification math.DSmath.CA
keywords orbitsperiodicproblemsgeneralizedrestrictedthree-bodyadditionalapplicable
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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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