Linear Stability of the n-gon Relative Equilibria of the (1+n)-Body Problem
文献类型：期刊论文
| 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 |
| 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 |
| 源URL | [http://libir.pmo.ac.cn/handle/332002/15517]  |
| 专题 | 紫金山天文台_太阳和太阳系等离子体研究团组 |
| 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 |
| 推荐引用方式 GB/T 7714 | Xu, Xingbo. Linear Stability of the n-gon Relative Equilibria of the (1+n)-Body Problem[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS,2013,12(1):255-271. |
| APA | Xu, Xingbo.(2013).Linear Stability of the n-gon Relative Equilibria of the (1+n)-Body Problem.QUALITATIVE THEORY OF DYNAMICAL SYSTEMS,12(1),255-271. |
| MLA | Xu, Xingbo."Linear Stability of the n-gon Relative Equilibria of the (1+n)-Body Problem".QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 12.1(2013):255-271. |
入库方式： OAI收割
来源：紫金山天文台
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