The relationships between regular polygon central configurations and masses for Newtonian \(N\)-body problems

DOI10.1016/j.physleta.2013.05.044zbMath1302.70031OpenAlexW2050977333MaRDI QIDQ482956

Yong-Cai Geng, Sumit K. Garg

Publication date: 15 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2013.05.044

zbMATH Keywords

circulant matricesNewtonian \(N\)-body problemsregular polygon central configurations

Mathematics Subject Classification ID

(n)-body problems (70F10) Topological and differential topological methods for problems in mechanics (70G40)

Related Items

A note on the two nested regular polygonal central configurations

Cites Work

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• Twisted angles for central configurations formed by two twisted regular polygons
• On central configurations
• A simpler proof of regular polygon solutions of the \(N\)-body problem
• Periodic solutions for planar 2N-body problems
• On the classification of pyramidal central configurations
• Polygonal homographic orbits of the curved $n$-body problem

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