Twisted Angles for Central Configurations Formed By Two Twisted Regular Polygons

Details Twisted Angles for Central Configurations Formed By Two Twisted Regular Polygons Twisted Angles for Central Configurations Formed By Two Twisted Regular Polygons

2011-10-15

arxiv.org/abs/1110.3375v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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