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Cover image for Interactive Double Pendulum Playground Using SVG
Abhishek Chaudhary
Abhishek Chaudhary

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Interactive Double Pendulum Playground Using SVG

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) m22'2 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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