On stacked planar central configurations with five bodies when one body is removed

DOI10.1007/s12346-012-0084-yzbMath1345.70016OpenAlexW1976386608MaRDI QIDQ384832

Luis Fernando Mello, Antonio Carlos Fernandes

Publication date: 29 November 2013

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

Full work available at URL: https://doi.org/10.1007/s12346-012-0084-y

zbMATH Keywords

four-body problemfive-body problemplanar central configurationstacked central configuration

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (13)

Convex but not strictly convex central configurations ⋮ Planar central configurations of six bodies ⋮ On the equilateral pentagonal central configurations ⋮ A family of stacked central configurations in the planar five-body problem ⋮ A special family of stacked central configurations: Lagrange plus Euler in one ⋮ Strictly convex central configurations of the planar five-body problem ⋮ Rigidity of planar central configurations ⋮ Stacked central configurations in the 5-vortex problem ⋮ Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two ⋮ On stacked central configurations with \(n\) bodies when one body is removed ⋮ Classification of \((n+1, 1)\)-stacked central configurations in \(R^3\) ⋮ Central configurations of the five-body problem with two isosceles triangles ⋮ Central configurations in the five-body problem: rhombus plus one

Cites Work

• Finiteness of central configurations of five bodies in the plane
• Finiteness of relative equilibria of the four-body problem
• Mathematical problems for the next century
• On central configurations
• New central configurations for the planar 5-body problem
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Topology and mechanics. II: The planar \(n\)-body problem
• On the role and the properties ofn body central configurations
• Stacked central configurations: new examples in the planar five-body problem
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