Plotting the solutions of differential equations is an amazing way to generate computer graphics, provided one has the necessary mathematical background.
Here is a planet orbiting the sun. It has two forces acting on it,
- Slightly stronger gravity (r^{-2.95} instead of r^{-2}) to introduce precession
- Friction to spiral inwards
The modifications were simply for artistic purposes and have no basis in real physics.
The double pendulum is one of the simplest chaotic systems in physics. Here is the trajectory of one:
This is the phase space of a pendulum subject to
- Linear friction
- Gaussian noise
- External sinusoidal force
- Gravity :-)
