标题： 时间中的摆锤运动 显示英文标题

标题： Motion in time of a swinging Atwood machine

摘要： 针对摆动的阿特伍德机在时间上的运动提出了一个精确解。 通过考虑由庞加莱首次引入的扩展哈密顿量和时间变换，得到了所谓的泪滴-心形轨道的轨迹。 运动相对于发射角度是等时的。 显示英文摘要

摘要： 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.