An introduction to the Kepler-Heisenberg problem
Dynamical Systems
2021-01-12 v1 Numerical Analysis
Mathematical Physics
Differential Geometry
math.MP
Numerical Analysis
Abstract
Here we provide an overview of what is known, and what is not known, about an interesting dynamical system known as the Kepler-Heisenberg problem. The main idea is to pose a version of the classical Kepler problem of planetary motion, but in a sub-Riemannian setting. The result is system which is surprisingly rich and beautiful, mysterious in some ways but tame in others, offering a substantial number of questions which seem non-trivial yet tractable.
Keywords
Cite
@article{arxiv.2101.03639,
title = {An introduction to the Kepler-Heisenberg problem},
author = {Corey Shanbrom},
journal= {arXiv preprint arXiv:2101.03639},
year = {2021}
}
Comments
Expository article for SIAM Dynamical Systems Magazine, 8 pages, 6 figures