Two-body problem on a sphere in the presence of a uniform magnetic field

DOI10.1134/S1560354721040043zbMath1482.70007arXiv2101.07170MaRDI QIDQ2058523

Nataliya A. Balabanova, James A. Montaldi

Publication date: 9 December 2021

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.07170

zbMATH Keywords

stabilityrelative equilibriabifurcationsHamiltonian reduction

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Two-body problems (70F05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items

Collision trajectories and regularisation of two-body problem on \(S^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Two charges on a plane in a magnetic field. II: Moving neutral quantum system across a magnetic field
• Dynamics in spaces of constant curvature.
• Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
• Reduction and relative equilibria for the two-body problem on spaces of constant curvature
• Interaction of two charges in a uniform magnetic field. II: Spatial problem
• Superintegrable systems on a sphere
• Interaction of two charges in a uniform magnetic field: I. Planar problem
• A guiding center Hamiltonian: A new approach