Motion in time of a swinging Atwood machine

Fuente: arXiv
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Autor principal: Carizi, Giorgio
Formato: Preprint
Publicado: 2025
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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