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Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem
Guardia, Marcel1,2; Kaloshin, Vadim3; Zhang, Jianlu4
2019-08-01
Source PublicationARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN0003-9527
Volume233Issue:2Pages:799-836
AbstractFor the Restricted Circular Planar 3 Body Problem, we show that there exists an open set U in phase space of fixed measure, where the set of initial points which lead to collision is O dense as mu -> 0.
DOI10.1007/s00205-019-01368-7
Language英语
Funding ProjectEuropean Research Council (ERC) under the European Union[757802] ; Spanish MINECO-FEDER[MTM2015-65715-P] ; Catalan Grant[2017SGR1049] ; NSF[DMS-1402164] ; Walter Haefner Foundation ; ETH Zurich Foundation
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000468141100006
PublisherSPRINGER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34776
Collection中国科学院数学与系统科学研究院
Affiliation1.Univ Politecn Cataluna, Dept Matemat, Barcelona, Spain
2.BGSMATH Barcelona, Grad Sch Math, Barcelona, Spain
3.Univ Maryland, College Pk, MD 20742 USA
4.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Guardia, Marcel,Kaloshin, Vadim,Zhang, Jianlu. Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2019,233(2):799-836.
APA Guardia, Marcel,Kaloshin, Vadim,&Zhang, Jianlu.(2019).Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,233(2),799-836.
MLA Guardia, Marcel,et al."Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 233.2(2019):799-836.
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