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Central configurations and a theorem of Palmore

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Publication:1685326
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DOI10.1007/BF00049389zbMath1375.70041MaRDI QIDQ1685326

Edward E. Slaminka, Kevin D. P. Woerner

Publication date: 13 December 2017

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


zbMATH Keywords

\(N\)-body problemcentral configurationscollision orbits


Mathematics Subject Classification ID

(n)-body problems (70F10)


Related Items (4)

The \(N\)-gon is not a local minimum of \(U^ 2 I\) for \(N \geq{} 7\) ⋮ An evaluation of the Sniffer global optimization algorithm using standard test functions ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Stability of some degenerate positions of relative equilibrium in then-body problem



Cites Work

  • A search technique for global optimization in a chaotic environment
  • Generalized descent for global optimization
  • On the manifolds of total collapse orbits and of completely parabolic orbits for the n-body problem
  • Measure of degenerate relative equilibria. I
  • Cas special du probleme restreint des plusieurs corps
  • Bifurcations of Relative Equilibria in the N-Body and Kirchhoff Problems
  • On the role and the properties ofn body central configurations


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