Self-similarity in the Kepler-Heisenberg problem

DOI10.1007/s00332-021-09709-1zbMath1481.70066arXiv1912.12375OpenAlexW4287979482MaRDI QIDQ2022528

Victor Dods, Corey Shanbrom

Publication date: 29 April 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12375

zbMATH Keywords

Heisenberg groupself-similarityKepler problemquasi-periodic orbitsorbital dynamicssub-Riemannian

Mathematics Subject Classification ID

Two-body problems (70F05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Sub-Riemannian geometry (53C17) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items

Non-integrability of the Kepler and the two-body problems on the Heisenberg group

Uses Software

• GitHub

Cites Work

• Unnamed Item
• The \(n\)-body problem in spaces of constant curvature. II: Singularities
• Periodic orbits in the Kepler-Heisenberg problem
• Keplerian Dynamics on the Heisenberg Group and Elsewhere
• Numerical Methods and Closed Orbits in the Kepler–Heisenberg Problem
• A fundamental solution for a subelliptic operator

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