| 带任意质量的平面2N＋1体问题的周期解 |
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| 引用本文： | 刘学飞,冯天祥,段会玲.带任意质量的平面2N＋1体问题的周期解[J].数学杂志,2009,29(1). |
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| 作者姓名： | 刘学飞 冯天祥 段会玲 |
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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,404000
2. 广东东莞职业技术学院基础部,广东东莞,523808 |
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| 基金项目： | 国家自然科学基金，KJF of CQEC |
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| 摘 要： | 本文研究平面2N+1-体问题的周期解.利用Hermite矩阵和循环矩阵的性质,给出了几何中心带一个质量的平面正多边形套问题存在周期解的必要和充分条件,证明了该周期解的存在唯一性,推广了文献9]的结论.
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| 关 键 词： | 正多边形套2N 1-体问题 周期解 循环矩阵 Hermite矩阵 |
PERIODIC SOLUTIONS FOR SOME PLANAR 2N+1-BODY PROBLEMS WITH ARBITRARY MASSES |
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| LIU Xue-fei,FENG Tian-xiang,DUAN Hui-ling.PERIODIC SOLUTIONS FOR SOME PLANAR 2N+1-BODY PROBLEMS WITH ARBITRARY MASSES[J].Journal of Mathematics,2009,29(1). |
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| Authors: | LIU Xue-fei FENG Tian-xiang DUAN Hui-ling |
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| Abstract: | In this paper we study periodic solutions of 2N+1-body problems. Using properties of Hermite matrix and circular matrix, we propose the necessary and sufficient conditions of periodic solutions for the nested regular polygon of planar 2N+1-body problem with a mass at the geometrical center, and prove the existence and uniqueness of the periodic solutions. This work extends the results in 9]. |
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| Keywords: | nested regular polygon 2N 1-body problems periodic solutions circular matrices Hermite matrix |
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