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

doi:10.3390/sym14091769

	Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem
	Tu, Xiongbiao 1; Wang, Qiao 1,2; Tang, Yifa 3,4
刊名	SYMMETRY-BASEL
	2022-09-01
卷号	14 期号:9 页码:9
关键词	high efficiency symplectic restricted three-body
DOI	10.3390/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
出版者	MDPI
WOS记录号	WOS:000856803900001
内容类型	期刊论文
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.