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Generalized periodic orbits in some restricted three-body problems (2007.01619v1)
Published 3 Jul 2020 in math.DS and math.CA
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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