| 正四面体仿射套型九体中心构型(英文) |
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| 引用本文： | 刘学飞,陈晓春,冯天祥.正四面体仿射套型九体中心构型(英文)[J].数学杂志,2012,32(1):42-48. |
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| 作者姓名： | 刘学飞 陈晓春 冯天祥 |
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| 作者单位： | 1. 重庆三峡学院数学与计算机科学学院,重庆万州,404000
2. 东莞职业技术学院基础部,广东东莞,523808 |
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| 基金项目： | Supported by NSF of China，NSF of Chongqing Science Committee，KJ of Chongqing Educational Committee |
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| 摘 要： | 本文研究R3中一类九体中心构型,该构型由两个正四面体及几何中心带一个质量构成.利用中心构型等价类的性质及分析方法,得到了该构型构成中心构型的充分和必要条件,并且证明了对任意给定的质量比这类中心构型存在且唯一,推广了文献16]的结论.
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| 关 键 词： | 9-体问题 四面体仿射套 中心构型 存在唯一性 |
A KIND OF AFFINELY NESTED TETRAHEDRONS CENTRAL CONFIGURATIONS FOR NINE-BODY PROBLEMS |
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| LIU Xue-fei
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CHEN Xiao-chun
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FENG Tian-xiang.A KIND OF AFFINELY NESTED TETRAHEDRONS CENTRAL CONFIGURATIONS FOR NINE-BODY PROBLEMS[J].Journal of Mathematics,2012,32(1):42-48. |
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| Authors: | LIU Xue-fei CHEN Xiao-chun FENG Tian-xiang |
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| Institution: | 1.College of Math.and Statistics,Chongqing Three Gorges University,Wanzhou 404000,China)(2.Dept.of Basic,Dongguan College of Vocational Technology,Dongguan 523808,China) |
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| Abstract: | This paper studies a kind of nine-body configurations in R3,consisting of two regular tetrahedrons with a mass at the geometrical center.Using properties of equivalent class of central configurations and analysis method,we obtain the necessary and sufficient conditions of the central configurations for these configurations,and prove that the central configuration class exists and is unique for any given mass ratio,which extends the results in 16]. |
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| Keywords: | nine-body problems affine-nested tetrahedrons central configurations existence and uniqueness |
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