Home▸Physics & Mechanics▸Double Pendulum in 3D — Spherical Chaos

⚖️ Double Pendulum in 3D — Spherical Chaos

A genuine 3D double pendulum: both arms swing freely in polar and azimuthal angles, integrated from the real Lagrangian equations of motion. Rotate the camera to watch the chaotic precession.

Physics & Mechanics3DAdvanced60 FPS📱 Mobile-adapted⇄ 2D version

Details

CategoryPhysics & Mechanics

RenderingThree.js · WebGL

DifficultyAdvanced

Target FPS60

ControlsDrag to orbit, scroll to zoom; sliders for mass 1, mass 2, gravity and an out-of-plane "3D kick" that seeds the initial azimuthal asymmetry; a trace toggle, Reset and Clear Trace buttons, with a live polar/azimuthal angle and kinetic/potential/total energy readout.

double pendulumchaos theorylagrangian mechanicsspherical pendulumrk4 integrationwebgl3d-simulation

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⚙ Under the hood

3D companion to the classic 2D double pendulum: instead of two angles confined to one plane, each arm now carries a full polar and azimuthal angle, so the whole system can precess freely through 3D space. The extra freedom is solved from the real rigid-rod Lagrangian (an analytic mass matrix plus its Coriolis/centrifugal terms, integrated with RK4), not a cosmetic wobble layered on the 2D motion. Orbit the camera around the swinging arms and watch the chaotic, non-planar precession unfold, with a live angle and energy readout.

double pendulumchaos theorylagrangian mechanicsspherical pendulumrk4 integrationwebgl3d-simulation

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install