English

Twisted Angles for Central Configurations Formed By Two Twisted Regular Polygons

Classical Analysis and ODEs 2011-10-18 v1 Mathematical Physics math.MP

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 beθ=0orθ=π/N\theta=0 {or} \theta=\pi/N.

Keywords

Cite

@article{arxiv.1110.3375,
  title  = {Twisted Angles for Central Configurations Formed By Two Twisted Regular Polygons},
  author = {Yu Xiang and Zhang Shiqing},
  journal= {arXiv preprint arXiv:1110.3375},
  year   = {2011}
}
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