Double Pendulum Chaos

Two equal point masses on massless rigid rods, solved with the true coupled equations of motion under gravity — no sine-wave shortcuts. Small changes grow into wildly different paths.

● RK4 integrator  ·  g = 9.81 m/s²  ·  no damping
Running Sim time 0.00 s Trail 0 pts
🌈 trail = path of lower bob (fades & is capped)
120.0°
−10.0°
0.00 rad/s
0.00 rad/s
Initial conditions (Reset): θ₁ = 120°, θ₂ = −10° from the downward vertical, ω₁ = ω₂ = 0. Equal masses m₁ = m₂ = 1 and equal rods L₁ = L₂ = 1 m.
Numerics: classic 4th-order Runge–Kutta at a fixed dt = 1/480 s with a frame-time accumulator (clamped to avoid spiral-of-death). Energy stays bounded, rods stay exactly L long by construction.