Spectral stability, spectral flow and circular relative equilibria for the Newtonian \(n\)-body problem

DOI10.1016/J.JDE.2022.07.032zbMath1502.70026arXiv2105.15009OpenAlexW4290758576MaRDI QIDQ2172471

Luca Asselle, Li Wu, Alessandro Portaluri

Publication date: 15 September 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.15009

zbMATH Keywords

\(n\)-body problemspectral flowcentral configurationsspectral (linear) instability

Mathematics Subject Classification ID

(n)-body problems (70F10) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (2)

Linear stability of an elliptic relative equilibrium in the spatial \(n\)-body problem via index theory ⋮ Functional determinants for the second variation

Cites Work

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• Relative equilibria of the 3-body problem in \(\mathbb{R}^4\)
• Linear instability of relative equilibria for \(n\)-body problems in the plane
• Elliptic relative equilibria in the \(N\)-body problem
• The Spectral Flow and the Maslov Index
• Morse index and linear stability of the Lagrangian circular orbit in a three-body-type problem via index theory

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