Exercises on the Kepler ellipses through a fixed point in space, after Otto Laporte
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909517283852288 |
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| author | Heckman, Gert |
| author_facet | Heckman, Gert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_21222 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exercises on the Kepler ellipses through a fixed point in space, after Otto Laporte Heckman, Gert Symplectic Geometry Mathematical Physics History and Overview 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. |
| title | Exercises on the Kepler ellipses through a fixed point in space, after Otto Laporte |
| topic | Symplectic Geometry Mathematical Physics History and Overview |
| url | https://arxiv.org/abs/2502.21222 |