Continuation of periodic orbits in the Sun-Mercury elliptic restricted three-body problem

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• 作者：Hao Peng^a ; ^b ; ^{AstroH.Peng@gmail.com} ; Xiaoli Bai^a ; ^{xiaoli.bai@rutgers.edu} ; Shijie Xu^b ; ^{starsjxu@126.com}
• 关键词：Elliptic restricted three-body problem ; Resonant periodic orbit ; Continuation method ; Mercury
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：47
• 期：Complete
• 页码：1-15
• 全文大小：4803 K
• 卷排序：47

文摘

The eccentricity varies non-monotonic, and we used tangential continuation method. We used multi-segment optimization method to modify orbits at each step. Three separated characteristic curves are generated around each libration point. New periodic orbits in the Sun-Mercury ERTBP and CRTBP are observed. We find that some resonant periodic orbits in CRTBP cannot be continued into ERTBP.