On the stability of ring relative equilibria in the \(N\)-body problem on \(\mathbb{S}^2\) with Hodge potential

DOI10.4153/S0008414X23000123MaRDI QIDQ6499935

Francisco Crespo, D. E. Espejo, Stefanella Boatto, Jaime Andrade

Publication date: 10 May 2024

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodic orbitsnonlinear stabilityreduced Hamiltonianspectral stabilityHamiltonian formulationsurfaces of constant curvaturering solution

Mathematics Subject Classification ID

Varieties over finite and local fields (11G25) Arithmetic theory of polynomial rings over finite fields (11T55)

Cites Work

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• On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance
• \(N\)-body dynamics on an infinite cylinder: the topological signature in the dynamics
• Stability of regular polygonal relative equilibria on \(\mathbb{S}^2\)
• Point mass dynamics on spherical hypersurfaces
• A vortex ring on a sphere: the case of total vorticity equal to zero
• N-body dynamics on closed surfaces: the axioms of mechanics

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