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Solutions of regular polygon with an inner particle for Newtonian \(N + 1\)-body problem

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Publication:2109126
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DOI10.1016/J.JDE.2018.04.004OpenAlexW2797674084WikidataQ129997445 ScholiaQ129997445MaRDI QIDQ2109126

Jianbo Luo, Jian Chen

Publication date: 20 December 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.04.004


zbMATH Keywords

circulant matrixregular polygon\(N + 1\)-body problem


Mathematics Subject Classification ID

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





Cites Work

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  • Twisted angles for central configurations formed by two twisted regular polygons
  • Central configurations formed by two twisted regular polygons
  • On a periodic solution of the 4-body problems
  • Central configurations consist of two layer twisted regular polygons
  • A note on the two nested regular polygonal central configurations
  • Regular Polygon Solutions of the N-Body Problem
  • Periodic solutions for planar 2N-body problems
  • Bifurcation of Spatial Central Configurations from Planar Ones
  • Inequalities for general matrix functions




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