Nested regular polygon solutions for planar \(2N\)-body problems

DOI10.1007/BF02879988zbMath1145.70316OpenAlexW4248507143MaRDI QIDQ2503821

Qing Zhou, Zhang, Shiqing

Publication date: 22 September 2006

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02879988

zbMATH Keywords

nested regular polygon periodic solutionscirculant matrices\(2N\)-body problems

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (5)

Norm estimates of \(\omega\)-circulant operator matrices and isomorphic operators for \(\omega\)-circulant algebra ⋮ Periodic solutions for planar 2N-body problems ⋮ Central configurations in the planar 6-body problem forming two equilateral triangles ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Norm equalities and inequalities for three circulant operator matrices

Cites Work

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• A simpler proof of regular polygon solutions of the \(N\)-body problem
• Regular Polygon Solutions of the N-Body Problem
• Sur l'existence de certaines configurations d'equilibre relatif dans le probleme desN corps
• Bifurcation of Spatial Central Configurations from Planar Ones

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