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Twisted Angles for Central Configurations Formed By Two Twisted Regular Polygons

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arxiv 1110.3375 v1 pith:IWQ7WW4T submitted 2011-10-15 math.CA math-phmath.MP

Yu Xiang , Zhang Shiqing This is my paper · ORCID
classification math.CAmath-phmath.MP
keywords twistedanglescentralconditionsconfigurationsformedpolygonsregular
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abstract

In this paper, we study the necessary conditions and sufficient conditions for the twisted angles of the central configurations formed by two twisted regular polygons, specially, we prove that for the 2N-body problems, the twisted angles must be$\theta=0 {or} \theta=\pi/N$.

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