Symmetry of planar four-body convex central configurations

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	Symmetry of planar four-body convex central configurations
	Albouy, Alain 1; Fu, Yanning2 ; Sun, Shanzhong 3
刊名	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
	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.
学科主题	Science & Technology - Other Topics
WOS标题词	Science & Technology
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
内容类型	期刊论文
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.