Curvature and geodesic instabilities in a geometrical approach to the planar three-body problem

DOI10.1063/1.4964340zbMath1361.70014arXiv1606.05091OpenAlexW2465345079MaRDI QIDQ2832724

Himalaya Senapati, Govind S. Krishnaswami

Publication date: 14 November 2016

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

Full work available at URL: https://arxiv.org/abs/1606.05091

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) (n)-body problems (70F10)

Related Items

On periodic solutions to Lagrangian system with singularities and constraints, Jacobi–Maupertuis metric and Kepler equation, Ergodicity, mixing, and recurrence in the three rotor problem, Curvature in Hamiltonian mechanics and the Einstein-Maxwell-dilaton action, Classical three rotor problem: Periodic solutions, stability and chaos, Nonintegrability of the reduced planar three-body problem with generalized force

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