| N体问题平面正多边形解 |
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| 引用本文： | 刘文中,马利华,徐玢,张同杰.N体问题平面正多边形解[J].北京师范大学学报(自然科学版),2006,42(5):486-488. |
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| 作者姓名： | 刘文中 马利华 徐玢 张同杰 |
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| 作者单位： | 北京师范大学天文学系,100875,北京;中国科学院国家天文台,100012,北京 |
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| 摘 要： | N体问题不仅存在做匀速圆周运动的正多边形解,而且存在非匀速运动的正多边形解,这就是圆锥曲线解.虽然每个质点在各自的圆锥曲线上运动,但是所有的质点却始终保持一个正多边形.
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| 关 键 词： | N体问题 正多边形 圆锥曲线解 |
| 收稿时间： | 2006-01-04 |
| 修稿时间： | 2006年1月4日 |
THE CONIC SOLUTIONS TO THE REGULAR POLYGON OF PLANAR N-BODY PROBLEMS |
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| Liu Wenzhong,Ma Lihua,Xu Bin,Zhang Tongjie.THE CONIC SOLUTIONS TO THE REGULAR POLYGON OF PLANAR N-BODY PROBLEMS[J].Journal of Beijing Normal University(Natural Science),2006,42(5):486-488. |
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| Authors: | Liu Wenzhong Ma Lihua Xu Bin Zhang Tongjie |
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| Institution: | 1.Department of Astronomy, Beijing Normal University, 100875, Beijing, China; 2.National Astronomical Observatories, CAS, 100012, Beijing, China |
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| Abstract: | Besides the regular polygon solutions of uniform circular motions,the regular polygon solutions of non-uniform motions also exist for N-body problems,which is known as conic solutions.In the conic solutions,each particle moves along its own conic path,but all the particles always make up a regular polygon. |
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| Keywords: | N-body problem regular polygon conic solutions |
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