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arXiv · 2502.21222

Exercises on the Kepler ellipses through a fixed point in space, after Otto Laporte

Gert Heckman
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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.

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Gert Heckman. 2025-02-28. Exercises on the Kepler ellipses through a fixed point in space, after Otto Laporte. https://arxiv.org/abs/2502.21222

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