Oscillatory orbits in the restricted planar four body problem

doi:10.1088/1361-6544/abaf5f

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	Oscillatory orbits in the restricted planar four body problem
	Seara,Tere M 1; Zhang,Jianlu 2
	2020-10-23
发表期刊	Nonlinearity
ISSN	0951-7715
卷号	33 期号:12
摘要	AbstractThe restricted planar four body problem describes the motion of a massless body under the Newtonian gravitational force of other three bodies (the primaries), and the motion of the primaries gives us general solutions of the three body problem. A trajectory is called oscillatory if it goes arbitrarily faraway but returns infinitely many times to the same bounded region. We prove the existence of such type of trajectories provided the primaries evolve in suitable periodic orbits.
关键词	restricted planar four body problem final motions oscillatory orbits parabolic orbits three body problem lambda lemma scattering map restricted planar four body problem final motions oscillatory orbits parabolic orbits three body problem lambda lemma scattering map primary 37N05 37D10 secondary 70F07 70H09
DOI	10.1088/1361-6544/abaf5f
语种	英语
WOS记录号	IOP:0951-7715-33-12-abaf5f
出版者	IOP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52130
专题	中国科学院数学与系统科学研究院
作者单位	1.Departament de Matemàtiques, Universitat Politècnica de Catalunya, Spain 2.Mathematics Institute, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Beijing, 100190, People’s Republic of China
推荐引用方式 GB/T 7714	Seara,Tere M,Zhang,Jianlu. Oscillatory orbits in the restricted planar four body problem[J]. Nonlinearity,2020,33(12).
APA	Seara,Tere M,&Zhang,Jianlu.(2020).Oscillatory orbits in the restricted planar four body problem.Nonlinearity,33(12).
MLA	Seara,Tere M,et al."Oscillatory orbits in the restricted planar four body problem".Nonlinearity 33.12(2020).