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Symplectic Double Pendulum Simulator

Double pendulum simulator using a symplectic Euler’s method. The program calculates the momentum and position of each ball using Hamiltonian formulations, and uses those calculations to adjust the pendulum’s course. This provides a double pendulum that stays stable and more analagous to real-life for longer periods of time, without the need of more complex math/animation modules. Mathematical methods provided in attatched PDF.

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Functionality

- Visualization UI that shows scaled changes in pendulum lengths, masses, and starting angles
- Generates EPS plot of path and phase diagram on command
- Built to run on a Rasberry Pi/Linux based system

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Usage Instructions

Run `./doublependulum.py`

in Linux terminal. If pendulum animation becomes unstable, the momenta of the masses are most likely too large for the allowed framerate of matplotlib. Try lowering masses or lengthening pendulums.

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Required Modules

- numpy
- matplotlib
- threading
- time

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Contributors

Scott Marino / [email protected]

## GitHub

View Github