Spectral instability of relative equilibria in the planarn-body problem

DOI10.1088/0951-7715/12/4/302zbMath0953.70010OpenAlexW2092071283MaRDI QIDQ4265661

Gareth E. Roberts

Publication date: 10 May 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/12/4/302

zbMATH Keywords

\(n\)-body problemspectral instabilityrelative equilibriumgeometric estimatesequal mass case

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) (n)-body problems (70F10)

Related Items (8)

Stability of regular polygonal relative equilibria on \(\mathbb{S}^2\) ⋮ An estimation for the hyperbolic region of elliptic Lagrangian solutions in the planar three-body problem ⋮ Linear instability of relative equilibria for \(n\)-body problems in the plane ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Regular polygonal equilibria on \(\mathbb{S}^1\) and stability of the associated relative equilibria ⋮ On the stability of periodic N-body motions with the symmetry of Platonic polyhedra ⋮ Collision index and stability of elliptic relative equilibria in planar \(n\)-body problem ⋮ Stability of relative equilibria and Morse index of central configurations

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