Generalized periodic orbits in some restricted three-body problems

Ortega Ríos, Rafael; Zhao, Lei

doi:https://doi.org/10.1007/s00033-021-01470-5

Ortega-Zhao2021_Article_GeneralizedPeriodicOrbitsInSom.pdf (337.6Kb)

Identificadores

URI: https://hdl.handle.net/10481/99364

DOI: https://doi.org/10.1007/s00033-021-01470-5

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Springer

Materia

Forced Kepler problem

Restricted three-body problem

Generalized periodic orbits

Kustaanheimo–Stiefel Regularization

Date

2021

Referencia bibliográfica

https://doi.org/10.1007/s00033-021-01470-5

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 Boscaggin et al. (Trans Am Math Soc 372: 677–703, 2019) 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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