中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 紫金山天文台
  3. 中国科学院紫金山天文台
  4. 历算和天文参考系研究团组
Symmetry of planar four-body convex central configurations

文献类型：期刊论文

作者Albouy, Alain1; Fu, Yanning2; Sun, Shanzhong3
刊名PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
出版日期2008-05-08
卷号464期号:2093页码:1355-1365
关键词n-body problem central configuration symmetry
ISSN号1364-5021
英文摘要We study the relationship between the masses and the geometric properties of central configurations. We prove that, in the planar four-body problem, a convex central configuration is symmetric with respect to one diagonal if and only if the masses of the two particles on the other diagonal are equal. If these two masses are unequal, then the less massive one is closer to the former diagonal. Finally, we extend these results to the case of non-planar central configurations of five particles.
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]RELATIVE EQUILIBRIA ; EQUAL MASSES ; 4 BODIES ; FINITENESS ; BIFURCATIONS ; VORTICES
收录类别SCI
语种英语
WOS记录号WOS:000253949100017
公开日期2011-12-30
源URL[http://159.226.72.40/handle/332002/1973]  
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.Acad Sinica, Purple Mt Observ, Nanjing 210008, Peoples R China
3.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
推荐引用方式
GB/T 7714		 Albouy, Alain,Fu, Yanning,Sun, Shanzhong. Symmetry of planar four-body convex central configurations[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2008,464(2093):1355-1365.
APA Albouy, Alain,Fu, Yanning,&Sun, Shanzhong.(2008).Symmetry of planar four-body convex central configurations.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,464(2093),1355-1365.
MLA Albouy, Alain,et al."Symmetry of planar four-body convex central configurations".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 464.2093(2008):1355-1365.

入库方式： OAI收割

来源：紫金山天文台

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。