文章基本信息

标题：Dynamics of Equilibrium Points in a Uniformly Rotating Second-Order and Degree Gravitational Field
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作者：Jinglang Feng ; Xiyun Hou
期刊名称：The Astronomical journal
印刷版ISSN：0004-6256
电子版ISSN：1538-3881
出版年度：2017
卷号：154
期号：1
页码：1-42
DOI：10.3847/1538-3881/aa75d0
语种：English
出版社：American Institute of Physics
摘要：Using tools such as periodic orbits and invariant manifolds, the global dynamics around equilibrium points (EPs) in a rotating second-order and degree gravitational field are studied. For EPs on the long axis, planar and vertical periodic families are computed, and their stability properties are investigated. Invariant manifolds are also computed, and their relation to the first-order resonances is briefly discussed. For EPs on the short axis, planar and vertical periodic families are studied, with special emphasis on the genealogy of the planar periodic families. Our studies show that the global dynamics around EPs are highly similar to those around libration points in the circular restricted three-body problem, such as spatial halo orbits, invariant manifolds, and the genealogy of planar periodic families.
关键词：instabilities ; methods: numerical ; minor planets; asteroids: general