The topology of the planar three-body problem with zero total angular momentum and the existence of periodic orbits

DOI10.1088/0951-7715/11/3/013zbMath0909.70014OpenAlexW2090224156MaRDI QIDQ4208745

Luca Sbano

Publication date: 26 October 1998

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/11/3/013

zbMATH Keywords

Poincaré inequalityleast action principledirect method of calculus of variationsfirst homotopy group of reduced configuration spaceNewtonian-like potential

Mathematics Subject Classification ID

Three-body problems (70F07) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

On the variational approach to the periodic \(n\)-body problem ⋮ Symmetry groups of the planar three-body problem and action-minimizing trajectories ⋮ Minimization properties of Hill's orbits and applications to some \(N\)-body problems

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