TRY IT: theabbie.github.io/DoublePendulum
SOURCE: github.com/theabbie/DoublePendulum
A double pendulum is a pendulum with another pendulum attached to its end, is a simple physical system that exhibits rich dynamic behavior with a strong sensitivity to initial conditions.
The motion of a double pendulum is governed by a set of coupled ordinary differential equations and is chaotic.
θ_{1}'' = | −g (2 m_{1} + m_{2}) sin θ_{1} − m_{2} g sin(θ_{1} − 2 θ_{2}) − 2 sin(θ_{1} − θ_{2}) m_{2} (θ_{2}'^{2} L_{2} + θ_{1}'^{2} L_{1} cos(θ_{1} − θ_{2})) |
L_{1} (2 m_{1} + m_{2} − m_{2} cos(2 θ_{1} − 2 θ_{2})) |
θ_{2}'' = | 2 sin(θ_{1} − θ_{2}) (θ_{1}'^{2} L_{1} (m_{1} + m_{2}) + g(m_{1} + m_{2}) cos θ_{1} + θ_{2}'^{2} L_{2} m_{2} cos(θ_{1} − θ_{2})) |
L_{2} (2 m_{1} + m_{2} − m_{2} cos(2 θ_{1} − 2 θ_{2})) |
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