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题名: Linear Stability of the n-gon Relative Equilibria of the (1+n)-Body Problem
作者: Xu, Xingbo1, 2, 3
刊名: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
出版日期: 2013-04-01
卷号: 12, 期号:1, 页码:255-271
关键词: (1+n)-body ; Linear stability ; Relative equilibrium
DOI: 10.1007/s12346-012-0089-6
文章类型: Article
英文摘要: We consider the linear stability of the regular n-gon relative equilibria of the (1 + n)-body problem. It is shown that there exist at most two kinds of infinitesimal bodies arranged alternatively at the vertices of a regular n-gon when n is even, and only one set of identical infinitesimal bodies when n is odd. In the case of n even, the regular n-gon relative equilibrium is shown to be linearly stable when n >= 14. In each case of n = 8, 10 and 12, linear stability can also be preserved if the ratio of two kinds of masses belongs to an open interval. When n is odd, the related conclusion on the linear stability is recalled.
WOS标题词: Science & Technology ; Physical Sciences
类目[WOS]: Mathematics, Applied ; Mathematics
研究领域[WOS]: Mathematics
关键词[WOS]: CENTRAL CONFIGURATIONS ; SATELLITES ; SYSTEMS ; RINGS
收录类别: SCI
语种: 英语
WOS记录号: WOS:000330801500016
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内容类型: 期刊论文
URI标识: http://libir.pmo.ac.cn/handle/332002/15517
Appears in Collections:太阳和太阳系等离子体研究团组_期刊论文

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作者单位: 1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Jiangsu, Peoples R China
2.Chinese Acad Sci, Grad Univ, Beijing 100039, Peoples R China
3.Observ Paris, CNRS UMR 8028, F-75014 Paris, France
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