Home▸Physics & Mechanics▸Dimensional Distortion: Orbits Under F = k/r^n (2D)

🌀 Dimensional Distortion: Orbits Under F = k/r^n (2D)

Interactive orbit simulator in which the force-law exponent n (the number of spatial dimensions minus one) is a free parameter: watch Kepler ellipses, rosettes and spiral collapse.

Physics & Mechanics2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

Details

CategoryPhysics & Mechanics

RenderingCanvas 2D

DifficultyModerate

Target FPS60

ControlsSlider for force-law exponent n, source strength and core softening; drag on the plane to sling a particle (dashed line shows the predicted path) or click to drop a circular orbit; presets for Kepler, flat space, 4D and 5D space; click a particle to inspect it, scroll to zoom, drag with camera mode to pan.

orbitscentral forceBertrand theoremextra dimensionsapsidal precession

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⚙ Under the hood

Slingshot particles around a central source while changing the force-law exponent n (the number of spatial dimensions minus one): Kepler ellipses at n = 2, rosettes in flat space, spiral collapse at n = 3 and beyond, with measured and Bertrand-predicted apsidal precession and a live effective-potential graph.

orbitscentral forceBertrand theoremextra dimensionsapsidal precession

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install