Motion in time of a swinging Atwood machine
Classical Physics
2025-07-02 v1 Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.2507.00058,
title = {Motion in time of a swinging Atwood machine},
author = {Giorgio Carizi},
journal= {arXiv preprint arXiv:2507.00058},
year = {2025}
}
Comments
3 pages, 2 figures