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Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem

文献类型：期刊论文

作者Tu, Xiongbiao1; Wang, Qiao1,2; Tang, Yifa3,4
刊名SYMMETRY-BASEL
出版日期2022-09-01
卷号14期号:9页码:9
关键词high efficiency symplectic restricted three-body
DOI10.3390/sym14091769
英文摘要The dynamic equation of a mass point in the circular restricted three-body problem is governed by Coriolis and centrifugal force, in addition to a co-rotating potential relative to the frame. In this paper, we provide an explicit, symmetric integrator for this problem. Such an integrator is more efficient than the symplectic Euler method and the Gauss Runge-Kutta method as regards this problem. In addition, we proved the integrator is symplectic by the discrete Hamilton's principle. Several groups of numerical experiments demonstrated the precision and high efficiency of the integrator in the examples of the quadratic potential and the bounded orbits in the circular restricted three-body problem.
资助项目National SKA Program of China[2020SKA0110401] ; National Natural Science Foundation of China[11988101] ; National Natural Science Foundation of China[12171466]
WOS研究方向Science & Technology - Other Topics
语种英语
WOS记录号WOS:000856803900001
出版者MDPI
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/61025]  
专题中国科学院数学与系统科学研究院
通讯作者Tu, Xiongbiao
作者单位1.Chinese Acad Sci, Natl Astron Observ, Beijing 100101, Peoples R China
2.Univ Chinese Acad Sci, Sch Astron & Space Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Tu, Xiongbiao,Wang, Qiao,Tang, Yifa. Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem[J]. SYMMETRY-BASEL,2022,14(9):9.
APA Tu, Xiongbiao,Wang, Qiao,&Tang, Yifa.(2022).Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem.SYMMETRY-BASEL,14(9),9.
MLA Tu, Xiongbiao,et al."Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem".SYMMETRY-BASEL 14.9(2022):9.

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来源：数学与系统科学研究院

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