Oscillatory orbits in the restricted planar four body problem

doi:10.1088/1361-6544/abaf5f

	Oscillatory orbits in the restricted planar four body problem
	Seara,Tere M 1; Zhang,Jianlu 2
刊名	Nonlinearity
	2020-10-23
卷号	33 期号:12
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
ISSN号	0951-7715
DOI	10.1088/1361-6544/abaf5f
英文摘要	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.
语种	英语
出版者	IOP Publishing
WOS记录号	IOP:0951-7715-33-12-ABAF5F
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52129]
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).