A note on the two nested regular polygonal central configurations

DOI10.1090/S0002-9939-2015-12618-4zbMath1391.70035MaRDI QIDQ2944855

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Publication date: 8 September 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

circulant matricesnested regular polygonal central configurationsNewtonian n-body problems

Mathematics Subject Classification ID

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

Related Items (7)

Inverse problem of central configurations in the collinear 5-body problem ⋮ Super central configurations in the collinear 5-body problem ⋮ Symmetric central configurations and the inverse problem ⋮ Regular polygon central configurations of the N-body problem with general homogeneous potential ⋮ The inverse problem for homothetic polygonal central configurations ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Solutions of regular polygon with an inner particle for Newtonian \(N + 1\)-body problem

Cites Work

• Twisted angles for central configurations formed by two twisted regular polygons
• The relationships between regular polygon central configurations and masses for Newtonian \(N\)-body problems
• A simpler proof of regular polygon solutions of the \(N\)-body problem
• Regular Polygon Solutions of the N-Body Problem
• Periodic solutions for planar 2N-body problems
• Bifurcation of Spatial Central Configurations from Planar Ones
• Polygonal homographic orbits of the curved $n$-body problem

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