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Rotating double pendulum

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Simulation of a frictionless planar double pendulum attached to a rotating wheel. The pendulum wheel and both pendulum bobs have masses.
The system was treated as a non-separable Hamiltonian system with three degrees of freedom. The wheel angle is a cyclic coordinate associated with conservation of angular momentum, and can be used to reduce the system to only two degrees of freedom.
0:00 large wheel large moment of inertia
0:21 small wheel large moment of inertia
0:29 zero angular momentum
0:47 non-zero angular momentum
The system was simulated using high order explicit symplectic integrators and rendered in real time.
The system was treated as a non-separable Hamiltonian system with three degrees of freedom. The wheel angle is a cyclic coordinate associated with conservation of angular momentum, and can be used to reduce the system to only two degrees of freedom.
0:00 large wheel large moment of inertia
0:21 small wheel large moment of inertia
0:29 zero angular momentum
0:47 non-zero angular momentum
The system was simulated using high order explicit symplectic integrators and rendered in real time.
Footnote †: Double Pendulums Are Crazy
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