Home▸Physics & Mechanics▸Orbits in d Spatial Dimensions: 2D Top-Down Sandbox

🪐 Orbits in d Spatial Dimensions: 2D Top-Down Sandbox

Top-down sandbox showing how a central force changes with the number of spatial dimensions: the field falls as 1/r^(d-1), so orbits are closed ellipses at d=3, rosettes at d=2, and unstable at d=4. Sling bodies with the mouse, drag the source, and read the measured periapsis shift against theory.

Physics & Mechanics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version
2d-dimensional-dimension-interaction-simulation ↗ Open standalone
⚙ Under the hood

Top-down sandbox showing how a central force changes with the number of spatial dimensions: the field falls as 1/r^(d-1), so orbits are closed ellipses at d=3, rosettes at d=2, and unstable at d=4. Sling bodies with the mouse, drag the source, and read the measured periapsis shift against theory.

dimensionscentral forceorbitseffective potentialbertrand theoremgauss law

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

What did you find?

Add reproduction steps (optional)