Open problem 1: Are Palmore's ``ignored estimates on the number of planar central configurations correct?

DOI10.1007/s12346-015-0170-zzbMath1336.70027arXiv1501.00694OpenAlexW3123831009MaRDI QIDQ904886

Alain Albouy

Publication date: 14 January 2016

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00694

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

Fixed points and the inverse problem for central configurations ⋮ Central configurations and mutual differences ⋮ Planar \(N\)-body central configurations with a homogeneous potential

Cites Work

• Unnamed Item
• Symmetric planar central configurations of five bodies: Euler plus two
• Central configurations with many small masses
• Central configurations of the N-body problem via equivariant Morse theory
• The \(N\)-gon is not a local minimum of \(U^ 2 I\) for \(N \geq{} 7\)
• Classifying relative equilibria. III
• Minimally classifying relative equilibria
• The cohomology ring of the colored braid group
• Convex central configurations for the \(n\)-body problem
• Convex central configurations of the \(n\)-body problem which are not strictly convex
• Classifying relative equilibria. II
• Relative equilibrium solutions in the four body problem
• Permanent Configurations in the Problem of Four Bodies
• Planar central configuration estimates in the n-body problem
• Lectures on Morse theory, old and new
• Classifying relative equilibria. I

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