The \(N\)-gon is not a local minimum of \(U^ 2 I\) for \(N \geq{} 7\)

DOI10.1007/BF00049445zbMath0741.70008MaRDI QIDQ1175569

Kevin D. P. Woerner

Publication date: 25 June 1992

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

\(N\)-body problemcoplanar central configurations

Mathematics Subject Classification ID

(n)-body problems (70F10) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (2)

Open problem 1: Are Palmore's ``ignored estimates on the number of planar central configurations correct? ⋮ Planar \(N\)-body central configurations with a homogeneous potential

Cites Work

• Unnamed Item
• Central configurations and a theorem of Palmore
• Bifurcations of Relative Equilibria in the N-Body and Kirchhoff Problems

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