Exercises on the Kepler ellipses through a fixed point in space, after Otto Laporte
Symplectic Geometry
2025-03-03 v1 Mathematical Physics
History and Overview
math.MP
Abstract
This article has a twofold purpose. On the one hand I would like to draw attention to some nice exercises on the Kepler laws, due to Otto Laporte from 1970. Our discussion here has a more geometric flavour than the original analytic approach of Laporte. On the other hand it serves as an addendum to a paper of mine from 1998 on the quantum integrability of the Kovalevsky top. Later I learned that this integrability result had been obtained already long before by Laporte in 1933.
Cite
@article{arxiv.2502.21222,
title = {Exercises on the Kepler ellipses through a fixed point in space, after Otto Laporte},
author = {Gert Heckman},
journal= {arXiv preprint arXiv:2502.21222},
year = {2025}
}
Comments
12 pages, 3 figures