Periodic orbits of the two fixed centers problem with a variational gravitational field

被引：0
|
作者：
Fabao Gao
Jaume Llibre
机构：
[1] Yangzhou University,School of Mathematical Science
[2] Universitat Autònoma de Barcelona,Departament de Matemàtiques
[3] Bellaterra,undefined
来源：
Celestial Mechanics and Dynamical Astronomy | 2020年 / 132卷
关键词：
Three-body problem; Periodic orbit; Averaging theory; Variational gravitational field;
D O I：
暂无
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学科分类号：
摘要：
We prove the existence of periodic orbits of the two fixed centers problem bifurcating from the Kepler problem. We provide the analytical expressions of these periodic orbits when the mass parameter of the system is sufficiently small.
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