Dynamics in the Kepler problem on the Heisenberg group
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911911260454912 |
|---|---|
| author | Basalaev, Sergey Agapov, Sergei |
| author_facet | Basalaev, Sergey Agapov, Sergei |
| contents | We study the nonholonomic motion of a point particle on the Heisenberg group around the fixed "sun" whose potential is given by the fundamental solution of the sub-Laplacian. Unlike arXiv:1212.2713 where the variational problem is studied we consider the equations of nonholonomic dynamics which are not Hamiltonian. We find three independent first integrals of the system and show that its bounded trajectories of the system are wound up around certain surfaces of the fourth order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15746 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dynamics in the Kepler problem on the Heisenberg group Basalaev, Sergey Agapov, Sergei Dynamical Systems Mathematical Physics 37N05, 53C17, 70F25, 37J60 We study the nonholonomic motion of a point particle on the Heisenberg group around the fixed "sun" whose potential is given by the fundamental solution of the sub-Laplacian. Unlike arXiv:1212.2713 where the variational problem is studied we consider the equations of nonholonomic dynamics which are not Hamiltonian. We find three independent first integrals of the system and show that its bounded trajectories of the system are wound up around certain surfaces of the fourth order. |
| title | Dynamics in the Kepler problem on the Heisenberg group |
| topic | Dynamical Systems Mathematical Physics 37N05, 53C17, 70F25, 37J60 |
| url | https://arxiv.org/abs/2311.15746 |