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arXiv · 2507.00058

Motion in time of a swinging Atwood machine

Giorgio Carizi
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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.

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Giorgio Carizi. 2025-06-12. Motion in time of a swinging Atwood machine. https://arxiv.org/abs/2507.00058

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