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Notes on spatial twisted central configurations for 2N-body problem

2019/12/02 by Liang Ding, Ding, Liang, Juan Manuel Sánchez-Cerritos +3
Engineering · Mathematics · Physics and Astronomy · #70F07 #70F15 #Advanced Differential Equations and Dynamical Systems #Cosmology and Gravitation Theories #Dynamical Systems (math.DS) #FOS: Mathematics #Spacecraft Dynamics and Control

paper · pdf · doi:10.48550/arxiv.1912.00834

openalex publication_date 2019/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the spatial central configuration formed by two twisted regular N-polygons. For any twist angle θ and any ratio of the masses b in the two regular N-polygons, we prove that the sizes of the two regular N-polygons must be equal.

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