Jacobi–Maupertuis metric and Kepler equation

DOI10.1142/S0219887817300021zbMath1400.70025arXiv1612.07395OpenAlexW2598880409MaRDI QIDQ5370961

Partha Guha, Sumanto Chanda, Gary W. Gibbons

Publication date: 20 October 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07395

zbMATH Keywords

canonical transformationgeodesic flowKepler equationMaupertuis principleJacobi metric

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Geodesic flows in symplectic geometry and contact geometry (53D25) Local Riemannian geometry (53B20) Collisions in celestial mechanics, regularization (70F16)

Related Items (5)

Zeeman effect in phase space ⋮ The Jacobi metric approach for dynamical wormholes ⋮ Geometrical formulation of relativistic mechanics ⋮ Dynamics in wormhole spacetimes: a Jacobi metric approach ⋮ Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in general relativity

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