Regular polygon central configurations of the N-body problem with general homogeneous potential

DOI10.1088/1361-6544/ab130fzbMath1476.70044OpenAlexW2947877401WikidataQ127769327 ScholiaQ127769327MaRDI QIDQ5380374

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Publication date: 4 June 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab130f

zbMATH Keywords

circulant matrixcentral configurationsN-body problemsgeneral homogeneous potential

Mathematics Subject Classification ID

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

Related Items (3)

Stacked Central Configurations with a Homogeneous Potential in \(\mathbb{R}^3\) ⋮ Symmetric central configurations and the inverse problem ⋮ On the centered co-circular central configurations for the n-body problem

Cites Work

• Twisted angles for central configurations formed by two twisted regular polygons
• Mathematical problems for the next century
• On central configurations
• A simpler proof of regular polygon solutions of the \(N\)-body problem
• On polygonal relative equilibria in the N-vortex problem
• A note on the two nested regular polygonal central configurations
• Regular Polygon Solutions of the N-Body Problem
• On the role and the properties ofn body central configurations
• Sur l'existence de certaines configurations d'equilibre relatif dans le probleme desN corps
• Bifurcation of Spatial Central Configurations from Planar Ones
• Polygonal homographic orbits of the curved $n$-body problem

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