The geometric phase of the three-body problem
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Publication:4382014
DOI10.1088/0951-7715/9/5/014zbMath0928.70022arXivdg-ga/9510005OpenAlexW2038146743MaRDI QIDQ4382014
Publication date: 17 January 2000
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/dg-ga/9510005
Three-body problems (70F07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
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A generalized Montgomery phase formula for rotating self-deforming bodies ⋮ Geometric properties of minimizers in the planar three-body problem with two equal masses ⋮ The planar three-body problem, symmetries and periodic orbits ⋮ Cotangent bundle reduction and Poincaré-Birkhoff normal forms ⋮ A search for triple collision orbits inside the domain of the free-fall three-body problem ⋮ Symmetry groups of the planar three-body problem and action-minimizing trajectories
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