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Nested regular polygon solutions for planar 2 |
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| Authors: | Shiqing?Zhang mailto:shiqin@.net" title=" shiqin@.net" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Qing?Zhou |
| Affiliation: | (1) Department of Mathematics, Shanghai Jiaotong University, 200030 Shanghai, China;(2) Department of Mathematics, Yangzhou University, 225009 Yangzhou, China;(3) Department of Mathematics, East China Normal University, 200062 Shanghai, China |
| Abstract: | In this paper we study the necessary conditions for the masses of the nested regular polygon solutions of the planar2N-body problem.We prove that the masses at the vertices of each regular polygon must be equal to each other |
| Keywords: | 2N-body problems nested regular polygon periodic solutions circulant matrices |
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