Orbits in the problem of two fixed centers on the sphere

DOI10.1134/S1560354717050045zbMath1394.70037arXiv1704.00030MaRDI QIDQ1695069

Juan Mateos Guilarte, Marina De La Torre Mayado, Miguel Ángel González León

Publication date: 6 February 2018

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

Full work available at URL: https://arxiv.org/abs/1704.00030

zbMATH Keywords

separation of variableselliptic coordinatesspheroconical coordinatesspherical two-center problem

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Celestial mechanics (70F15)

Related Items (4)

Sundman transformation and alternative tangent structures ⋮ New integrable two-centre problem on sphere in Dirac magnetic field ⋮ On the Equivalence Between Type I Liouville Dynamical Systems in the Plane and the Sphere ⋮ Electron-positron planar orbits in a constant magnetic field

Cites Work

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• There is a projective dynamics
• Projective dynamics and first integrals
• Projective dynamics and classical gravitation
• Generalized problem of two and four Newtonian centers
• Integrable systems in celestial mechanics.
• Kepler's problem in constant curvature spaces
• Integrable problems of celestial mechanics in spaces of constant curvature.
• Classification of motions for generalization of the two-center problem on a sphere
• The problem of two fixed centers: bifurcations, actions, monodromy
• On domain walls in a Ginzburg-Landau non-linear \(\mathbb{S}^{2}\)-sigma model
• Relations between integrable systems in plane and curved spaces
• The spatial problem of 2 bodies on a sphere. Reduction and stochasticity
• Dynamical symmetries in a spherical geometry. I
• Topological analysis of the two-centre problem on the two-dimensional sphere
• Kinks from dynamical systems: domain walls in a deformedO(N) linear sigma model
• Generalizing the classical fixed-centres problem in a non-Hamiltonian way
• The problem of two fixed centers: bifurcation diagram for positive energies

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