Periodic three-body orbits with vanishing angular momentum in the Jacobi–Poincaré ‘strong’ potential

DOI10.1088/1751-8121/aa8bdezbMath1401.70018arXiv1710.03687OpenAlexW2754343664MaRDI QIDQ4596134

Milovan Šuvakov, Luka V. Petrović, V. Dmitrašinović

Publication date: 30 November 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03687

zbMATH Keywords

periodic orbitsthree-body problemnonlinear dynamicsstrong potential

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (2)

The three-body problem as a geodesic billiard map with singularities ⋮ Linear stability of periodic three-body orbits with zero angular momentum and topological dependence of Kepler’s third law: a numerical test

Cites Work

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• Hidden symmetries of integrable conformal mechanical systems
• Three integrable Hamiltonian systems connected with isospectral deformations
• Meromorphic parametric non-integrability; the inverse square potential
• Infinitely many syzygies
• Angular Momentum and Topological Dependence of Kepler’s Third Law in the Broucke-Hadjidemetriou-Hénon Family of Periodic Three-Body Orbits
• Invariants of the spherical sector in conformal mechanics
• Solving Ordinary Differential Equations I
• TheN-body problem, the braid group, and action-minimizing periodic solutions
• Braids in classical dynamics
• Synchronized similar triangles for three-body orbits with zero angular momentum
• Gravity
• Fitting hyperbolic pants to a three-body problem

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