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Relative equilibria of four identical satellites

文献类型：期刊论文

作者Albouy, Alain1; Fu, Yanning2
刊名PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
出版日期2009-09-08
卷号465期号:2109页码:2633-2645
关键词central configurations symmetrical configurations co-orbital satellites
ISSN号1364-5021
英文摘要We consider the Newtonian 5-body problem in the plane, where four bodies have the same mass m, which is small compared with the mass M of the remaining body. We consider the (normalized) relative equilibria in this system and follow them to the limit when m/M -> 0. In some cases, two small bodies will coalesce at the limit. We call the other equilibria the relative equilibria of four separate identical satellites. We prove rigorously that there are only three such equilibria, all already known after the numerical researches by H. Salo and C. F. Yoder. Our main contribution is to prove that any equilibrium configuration possesses a symmetry, a statement indicated by J. Llibre as the missing key to proving that there is no other equilibrium.
WOS标题词Science & Technology
学科主题Science & Technology - Other Topics
类目[WOS]Multidisciplinary Sciences
研究领域[WOS]Science & Technology - Other Topics
关键词[WOS]CENTRAL CONFIGURATIONS ; BODY PROBLEM ; STATIONARY CONFIGURATIONS ; LINEAR-STABILITY ; MASSES ; SYMMETRY ; GALATEA
收录类别SCI
语种英语
WOS记录号WOS:000268317700001
公开日期2011-12-08
源URL[http://159.226.72.40/handle/332002/1669]  
专题紫金山天文台_历算和天文参考系研究团组
作者单位1.Observ Paris, CNRS, UMR 8028, F-75014 Paris, France
2.Purple Mt Observ, Nanjing 210008, Peoples R China
推荐引用方式
GB/T 7714		 Albouy, Alain,Fu, Yanning. Relative equilibria of four identical satellites[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2009,465(2109):2633-2645.
APA Albouy, Alain,&Fu, Yanning.(2009).Relative equilibria of four identical satellites.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,465(2109),2633-2645.
MLA Albouy, Alain,et al."Relative equilibria of four identical satellites".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 465.2109(2009):2633-2645.

入库方式： OAI收割

来源：紫金山天文台

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