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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
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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
Corresponding AuthorGuardia, Marcel
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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