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.
| θ1'' = | −g (2 m1 + m2) sin θ1 − m2 g sin(θ1 − 2 θ2) − 2 sin(θ1 − θ2) m2 (θ2'2 L2 + θ1'2 L1 cos(θ1 − θ2)) |
| L1 (2 m1 + m2 − m2 cos(2 θ1 − 2 θ2)) |
| θ2'' = | 2 sin(θ1 − θ2) (θ1'2 L1 (m1 + m2) + g(m1 + m2) cos θ1 + θ2'2 L2 m2 cos(θ1 − θ2)) |
| L2 (2 m1 + m2 − m2 cos(2 θ1 − 2 θ2)) |
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