Teardrop and heart orbits of a swinging Atwood's Machine

Details Teardrop and heart orbits of a swinging Atwood's Machine Teardrop and heart orbits of a swinging Atwood's Machine

1993-02-23

arxiv.org/abs/chao-dyn/9302006v1

Nonlinear Sciences

Chaotic Dynamics

CYCLER Paper 93feb008

Scientific paper

10.1119/1.17602

An exact solution is presented for a swinging Atwood's machine. This
teardrop-heart orbit is constructed using Hamilton-Jacobi theory. The example
nicely illustrates the utility of the Hamilton-Jacobi method for finding
solutions to nonlinear mechanical systems when more elementary techniques fail.

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