Motion in time of a swinging Atwood machine
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911030224879616 |
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| author | Carizi, Giorgio |
| author_facet | Carizi, Giorgio |
| contents | An exact solution for the motion in time of the swinging Atwood machine is presented. The trajectories of the so called teardrop-heart orbits are obtained considering an extended Hamiltonian and a time transformation first introduced by Poincare. The motion is isochronous with respect to the launch angle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Motion in time of a swinging Atwood machine Carizi, Giorgio Classical Physics Exactly Solvable and Integrable Systems An exact solution for the motion in time of the swinging Atwood machine is presented. The trajectories of the so called teardrop-heart orbits are obtained considering an extended Hamiltonian and a time transformation first introduced by Poincare. The motion is isochronous with respect to the launch angle. |
| title | Motion in time of a swinging Atwood machine |
| topic | Classical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2507.00058 |