⚛ DOUBLE PENDULUM CHAOS LAB

Coupled rigid rods • equal masses & lengths • g = 9.81 • RK4 integration
Bob 1 Bob 2 + trail Pivot
t = 0.00 s

Motion Controls

Initial: θ₁ = 120°, θ₂ = −10°, ω = 0. Physically coupled — no driving or damping. Energy should remain bounded.

Tip: drag canvas to reposition (no edit to physics)

Telemetry

θ₁ angle
120.0°
from vertical
θ₂ angle
-10.0°
from vertical
ω₁
0.00
rad/s
ω₂
0.00
rad/s
Total Energy (normalized)
— Jdrift 0%

About the Model

Two equal point masses (m=1) on massless rigid rods (L=1) under gravity. Equations:
α₁, α₂ from Lagrange — fully coupled via sin(θ₁−θ₂) & cos(θ₁−θ₂). Integrated with RK4.
Lower bob trail uses hue-shifted fading segments bounded to keep rendering smooth.