Stability and bifurcation analyses for exterior resonant families in Earth-Moon system

•Shooting method is applied to compute the exterior resonant families.•Distribution of eigenvalues, stability curves are presented for the 1:2 and 2:3 resonant families.•Some critical points, corresponding to period-doubling and tangent bifurcations, are found. In this work, stability and bifurcatio...

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Published inResults in physics Vol. 31; p. 104961
Main Authors Li, Xu, Qian, Ying-Jing, Yang, Xiao-Dong, Zhang, Wei
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.12.2021
Elsevier
Subjects
Bifurcation
Resonant orbit
Restricted three-body problem
Stability
Restricted three-body problem
Bifurcation
Resonant orbit
Stability
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Abstract •Shooting method is applied to compute the exterior resonant families.•Distribution of eigenvalues, stability curves are presented for the 1:2 and 2:3 resonant families.•Some critical points, corresponding to period-doubling and tangent bifurcations, are found. In this work, stability and bifurcation analyses for exterior resonant orbit families have been investigated for a test spacecraft around Earth-Moon system. The initial states are obtained for certain resonance ratio orbits in the two-body problem. The shooting method is applied to compute the true resonant orbits families based on the planar circular restricted three-body problem. By means of numerical approach, the 1:2 and 2:3 families of resonant orbits are studies, and the distribution of eigenvalues, stability curves are presented. Inparticular, some critical points, corresponding to period-doubling and tangent bifurcations, are found in the stability curves. The bifurcation and stability analyses show overall features of the resonant orbits. This study may provide alternative orbital design ideas.
AbstractList •Shooting method is applied to compute the exterior resonant families.•Distribution of eigenvalues, stability curves are presented for the 1:2 and 2:3 resonant families.•Some critical points, corresponding to period-doubling and tangent bifurcations, are found. In this work, stability and bifurcation analyses for exterior resonant orbit families have been investigated for a test spacecraft around Earth-Moon system. The initial states are obtained for certain resonance ratio orbits in the two-body problem. The shooting method is applied to compute the true resonant orbits families based on the planar circular restricted three-body problem. By means of numerical approach, the 1:2 and 2:3 families of resonant orbits are studies, and the distribution of eigenvalues, stability curves are presented. Inparticular, some critical points, corresponding to period-doubling and tangent bifurcations, are found in the stability curves. The bifurcation and stability analyses show overall features of the resonant orbits. This study may provide alternative orbital design ideas.
In this work, stability and bifurcation analyses for exterior resonant orbit families have been investigated for a test spacecraft around Earth-Moon system. The initial states are obtained for certain resonance ratio orbits in the two-body problem. The shooting method is applied to compute the true resonant orbits families based on the planar circular restricted three-body problem. By means of numerical approach, the 1:2 and 2:3 families of resonant orbits are studies, and the distribution of eigenvalues, stability curves are presented. In particular, some critical points, corresponding to period-doubling and tangent bifurcations, are found in the stability curves. The bifurcation and stability analyses show overall features of the resonant orbits. This study may provide alternative orbital design ideas.
ArticleNumber 104961
Author Li, Xu
Yang, Xiao-Dong
Qian, Ying-Jing
Zhang, Wei
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  surname: Zhang
  fullname: Zhang, Wei
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Keywords Restricted three-body problem
Bifurcation
Resonant orbit
Stability
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Snippet •Shooting method is applied to compute the exterior resonant families.•Distribution of eigenvalues, stability curves are presented for the 1:2 and 2:3 resonant...
In this work, stability and bifurcation analyses for exterior resonant orbit families have been investigated for a test spacecraft around Earth-Moon system....
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StartPage 104961
SubjectTerms Bifurcation
Resonant orbit
Restricted three-body problem
Stability
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Title Stability and bifurcation analyses for exterior resonant families in Earth-Moon system
URI https://dx.doi.org/10.1016/j.rinp.2021.104961
https://doaj.org/article/87eb4c64c32f4fec82388c28bfb8edd3
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