Central configurations in the five-body problem: rhombus plus one

DOI10.1007/s12346-021-00486-6zbMath1498.70018OpenAlexW3164467166MaRDI QIDQ2046949

Martha Alvarez-Ramírez, J. Lino Cornelio, Josep Maria Cors

Publication date: 19 August 2021

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

Full work available at URL: http://hdl.handle.net/2117/352053

zbMATH Keywords

central configurationfive-body problemrhombus configurationsquare configuration

Mathematics Subject Classification ID

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

Related Items

On the equilateral pentagonal central configurations, Equilateral chains and cyclic central configurations of the planar five-body problem

Cites Work

• Unnamed Item
• Finiteness of spatial central configurations in the five-body problem
• New stacked central configurations for the planar 5-body problem
• On stacked planar central configurations with five bodies when one body is removed
• Finiteness of central configurations of five bodies in the plane
• Symmetric planar central configurations of five bodies: Euler plus two
• Finiteness of relative equilibria of the four-body problem
• Mathematical problems for the next century
• A family of stacked central configurations in the planar five-body problem
• Classifying four-body convex central configurations
• A special family of stacked central configurations: Lagrange plus Euler in one
• Seven-body central configurations: a family of central configurations in the spatial seven-body problem
• New central configurations for the planar 5-body problem
• Topology and mechanics. I
• Topology and mechanics. II: The planar \(n\)-body problem
• On the role and the properties ofn body central configurations
• Strictly convex central configurations of the planar five-body problem
• Stacked central configurations: new examples in the planar five-body problem
• Permanent Configurations in the Problem of Five Bodies