Symmetry and Asymmetry in the $1+N$ Coorbital Problem

DOI10.1137/22M1475053MaRDI QIDQ5095760

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Publication date: 10 August 2022

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00163

zbMATH Keywords

homogeneous potentialrelative equilibriumconvex coorbital central configuration

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10)

Cites Work

• On the central configurations of the planar 1 + 3 body problem
• Relative equilibria of the \((1+N)\)-vortex problem
• Linear stability of relative equilibria with a dominant mass
• Stationary configurations for co-orbital satellites with small arbitrary masses
• Central configurations of the planar \(1+N\) body problem
• Stability of the rhombus vortex problem with a central vortex
• On the symmetric central configurations for the planar \(1+4\)-body problem
• Symmetry, bifurcation and stacking of the central configurations of the planar \(1+4\) body problem
• Linear stability of the \(n\)-gon relative equilibria of the \((1+n)\)-body problem
• Existence, Stability, and Symmetry of Relative Equilibria with a Dominant Vortex
• Relative equilibria of four identical satellites
• Bifurcation of Relative Equilibria of the (1+3)-Body Problem
• The inverse problem for collinear central configurations

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