A simpler proof of regular polygon solutions of the \(N\)-body problem

DOI10.1016/S0375-9601(00)00698-8zbMath1334.70027OpenAlexW2168777186WikidataQ59451919 ScholiaQ59451919MaRDI QIDQ2644127

Zhifu Xie, Zhang, Shiqing

Publication date: 7 September 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00698-8

zbMATH Keywords

circulant matrix\(N\)-body problemsregular polygon periodic solutions

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (8)

Periodic solutions for planar 2N-body problems ⋮ Continuous choreographies as limiting solutions of \(N\)-body type problems with weak interaction ⋮ Relative equilibria in continuous stellar dynamics ⋮ A note on the two nested regular polygonal central configurations ⋮ Regular polygon central configurations of the N-body problem with general homogeneous potential ⋮ The relationships between regular polygon central configurations and masses for Newtonian \(N\)-body problems ⋮ Two layer nested regular polygon central configurations in \(\mathbb R^3\) ⋮ Nested regular polygon solutions for planar \(2N\)-body problems

Cites Work

• Regular Polygon Solutions of the N-Body Problem
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