Dynamics of Equilibrium Points in a Uniformly Rotating SecondOrder and Degree Gravitational Field
Abstract
Using tools such as periodic orbits and invariant manifolds, the global dynamics around equilibrium points (EPs) in a rotating secondorder 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 firstorder 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 threebody problem, such as spatial halo orbits, invariant manifolds, and the genealogy of planar periodic families.
 Authors:
 School of Astronomy and Space Science, Nanjing University, 210093 (China)
 Publication Date:
 OSTI Identifier:
 22663467
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Astronomical Journal (Online); Journal Volume: 154; Journal Issue: 1; Other Information: Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTEROIDS; EQUILIBRIUM; GRAVITATIONAL FIELDS; INSTABILITY; ORBITS; PERIODICITY; PLANETS; RESONANCE; STABILITY; THREEBODY PROBLEM
Citation Formats
Feng, Jinglang, and Hou, Xiyun, Email: jinglang@nju.edu.cn, Email: silence@nju.edu.cn. Dynamics of Equilibrium Points in a Uniformly Rotating SecondOrder and Degree Gravitational Field. United States: N. p., 2017.
Web. doi:10.3847/15383881/AA75D0.
Feng, Jinglang, & Hou, Xiyun, Email: jinglang@nju.edu.cn, Email: silence@nju.edu.cn. Dynamics of Equilibrium Points in a Uniformly Rotating SecondOrder and Degree Gravitational Field. United States. doi:10.3847/15383881/AA75D0.
Feng, Jinglang, and Hou, Xiyun, Email: jinglang@nju.edu.cn, Email: silence@nju.edu.cn. Sat .
"Dynamics of Equilibrium Points in a Uniformly Rotating SecondOrder and Degree Gravitational Field". United States.
doi:10.3847/15383881/AA75D0.
@article{osti_22663467,
title = {Dynamics of Equilibrium Points in a Uniformly Rotating SecondOrder and Degree Gravitational Field},
author = {Feng, Jinglang and Hou, Xiyun, Email: jinglang@nju.edu.cn, Email: silence@nju.edu.cn},
abstractNote = {Using tools such as periodic orbits and invariant manifolds, the global dynamics around equilibrium points (EPs) in a rotating secondorder 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 firstorder 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 threebody problem, such as spatial halo orbits, invariant manifolds, and the genealogy of planar periodic families.},
doi = {10.3847/15383881/AA75D0},
journal = {Astronomical Journal (Online)},
number = 1,
volume = 154,
place = {United States},
year = {Sat Jul 01 00:00:00 EDT 2017},
month = {Sat Jul 01 00:00:00 EDT 2017}
}

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