English

Central Configurations Formed By Two Twisted Regular Polygons

Mathematical Physics 2014-05-20 v1 math.MP

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.

Cite

@article{arxiv.1405.4705,
  title  = {Central Configurations Formed By Two Twisted Regular Polygons},
  author = {Xiang Yu and Shiqing Zhang},
  journal= {arXiv preprint arXiv:1405.4705},
  year   = {2014}
}
R2 v1 2026-06-22T04:17:50.566Z