General solution of a three-body problem in the plane

DOI10.1088/0305-4470/36/26/305zbMath1081.70005OpenAlexW2071073833MaRDI QIDQ4466330

Francesco Calogero

Publication date: 9 June 2004

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

Full work available at URL: https://doi.org/10.1088/0305-4470/36/26/305

zbMATH Keywords

explicit solutionperiodic isochronous solution

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (7)

Isochronous and partially isochronous Hamiltonian systems are not rare ⋮ Particle separation from a four-particle-system ⋮ A further solvable three-body problem in the plane ⋮ Isochronous dynamical systems ⋮ Two New Classes of Isochronous Hamiltonian Systems ⋮ The Painlevé property for quasihomogeneous systems and a many-body problem in the plane ⋮ Solution of the Goldfish N-Body Problem in the Plane with (Only) Nearest-Neighbor Coupling Constants All Equal to Minus One Half

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