This is a simulation of 2 bobs, connected by massless, perfectly rigid rods to a central pivot under the force of uniform gravity. In addition to being the motivating example for chaotic systems (in addition to the Lorenz system, its fluid mechanics counterpart), the double pendulum represents some interesting challenges.
Radial Velocity 1
Radial Velocity 2
Frames per second
Steps per frame
The system is modeled directly from the equations of motion, which were derived using Mathematica (via the Euler-Lagrange formula).