Generalized periodic orbits in some restricted three-body problems

被引：0
作者：
Rafael Ortega
Lei Zhao
机构：
[1] Universidad de Granada,Departamento de Matemática Aplicada
[2] Universität Augsburg,Institut für Mathematik
来源：
Zeitschrift für angewandte Mathematik und Physik | 2021年 / 72卷
关键词：
Forced Kepler problem; Restricted three-body problem; Generalized periodic orbits; Kustaanheimo–Stiefel Regularization; 70F15; 70F16;
D O I：
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摘要：
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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