Twisted Angles for Central Configurations Formed By Two Twisted Regular Polygons

2011/10/15 by X. D. Yu, Yu Xiang, Xiang, Yu +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Astro and Planetary Science #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear physics research studies #Spacecraft Dynamics and Control #math-ph #math.CA #math.MP

paper · pdf · doi:10.48550/arxiv.1110.3375

arxiv created 2011/10/15 · openalex publication_date 2011/10/15 · arxiv updated 2011/10/18 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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=0 or θ=π/N.

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