Planar central configuration estimates in the n-body problem

DOI10.1017/S0143385700010178zbMath0863.70015OpenAlexW2083970422MaRDI QIDQ4714430

Christopher K. McCord

Publication date: 15 December 1996

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700010178

zbMATH Keywords

Morse functionpotential functionO(2)-orbit

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items

Finiteness of relative equilibria of the four-body problem ⋮ Bifurcations of balanced configurations for the Newtonian \(n\)-body problem in \(\mathbb{R}^4\) ⋮ Convex central configurations for the \(n\)-body problem ⋮ The symmetric central configurations of the 4-body problem with masses \(m_1 = m_2 \neq m_3 = m_4\) ⋮ Morse theory for \(S\)-balanced configurations in the Newtonian \(n\)-body problem ⋮ Open problem 1: Are Palmore's ``ignored estimates on the number of planar central configurations correct? ⋮ Morse theory and central configurations in the spatial \(N\)-body problem ⋮ Fixed points and the inverse problem for central configurations ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Stability of relative equilibria and Morse index of central configurations

Cites Work

• Central configurations with many small masses
• Central configurations of the N-body problem via equivariant Morse theory
• On category, in the sense of Lusternik-Schnirelmann
• On central configurations
• Relative equilibria of the four-body problem
• Classifying relative equilibria. I
• Configuration Spaces.
• Uniqueness of orientation preserving 𝑃𝐿 involutions of 3-space
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem