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

doi:10.3390/sym14091769

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	Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem
	Tu, Xiongbiao 1; Wang, Qiao 1,2; Tang, Yifa 3,4
	2022-09-01
发表期刊	SYMMETRY-BASEL
卷号	14 期号:9 页码:9
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.
关键词	high efficiency symplectic restricted three-body
DOI	10.3390/sym14091769
收录类别	SCI
语种	英语
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
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000856803900001
出版者	MDPI
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61026
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.