Moser Regularization of a Stochastically Perturbed Kepler Problem
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912337589436416 |
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| author | Saha, Archishman |
| author_facet | Saha, Archishman |
| contents | We consider a stochastic Kepler problem perturbed by a Hamiltonian noise affecting the angular momentum vector. We show that the angular momentum and the Laplace-Runge-Lenz vectors are conserved in magnitude and as a consequence, the distance and speed of the particle follow deterministic dynamics. Further, in a procedure similar to Moser's regularization, we transform the stochastic Kepler problem to obtain its dynamics as a stochastic geodesic flow on a 3-sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14442 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moser Regularization of a Stochastically Perturbed Kepler Problem Saha, Archishman Mathematical Physics 70L10 (Primary), 60H10, 70F16 (Secondary) We consider a stochastic Kepler problem perturbed by a Hamiltonian noise affecting the angular momentum vector. We show that the angular momentum and the Laplace-Runge-Lenz vectors are conserved in magnitude and as a consequence, the distance and speed of the particle follow deterministic dynamics. Further, in a procedure similar to Moser's regularization, we transform the stochastic Kepler problem to obtain its dynamics as a stochastic geodesic flow on a 3-sphere. |
| title | Moser Regularization of a Stochastically Perturbed Kepler Problem |
| topic | Mathematical Physics 70L10 (Primary), 60H10, 70F16 (Secondary) |
| url | https://arxiv.org/abs/2504.14442 |