Central Configurations Formed By Two Twisted Regular Polygons

2014/05/19 by Xiang Yu, Yu, Xiang, Shiqing Zhang +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Mathematics and Applications #graph theory and CDMA systems #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1405.4705

arxiv created 2014/05/19 · arxiv updated 2014/05/20

Abstract

In this paper, we study the necessary conditions and sufficient conditions for the central configurations formed by two twisted regular polygons (one N-regular polygon and one L-regular polygon). We wish to extend the results of the symmetrical central configurations formed by two twisted N-regular polygons, however, it will be proved that there are not more central configurations in a more general setting than the central configurations considered for some more particular situations before.

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