On the relative equilibria of the (rhombus+1)-body problem

DOI10.1007/s10569-022-10100-9zbMath1504.70014OpenAlexW4303423614MaRDI QIDQ2104216

Juscelino G. Lopes, Eduardo S. G. Leandro

Publication date: 9 December 2022

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

Full work available at URL: https://doi.org/10.1007/s10569-022-10100-9

zbMATH Keywords

central configuration\(N\)-body problemrelative equilibrium

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Cites Work

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• Central configurations with many small masses
• Finiteness and bifurcations of some symmetrical classes of central configurations
• Mathematical problems for the next century
• Structure and stability of the rhombus family of relative equilibria under general homogeneous forces
• Restricted rhomboidal five-body problem
• The Set of Degenerate Central Configurations in the Planar Restricted Four-Body Problem
• Collinear relative equilibria of the planarN-body problem
• Bifurcations and Enumeration of Classes of Relative Equilibria in the Planar Restricted Four-Body Problem

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