N-Body Simulator

2D GRAVITATIONAL · VELOCITY VERLET INTEGRATION

Simulation Control
t = 0.00 s
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Log-scale. Each step = one full Velocity Verlet integration of Δt. Higher = faster simulation, lower accuracy.
×1
slow×10×100×1000fast
Δt:
Sim rate:
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Physics timestep per integration step. Smaller = more accurate. Error ∝ Δt².
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Prevents 1/r² singularity: r_eff = √(r²+ε²). Set 0 for exact physics (may diverge at close approach).
View Controls
500
Units & Scale
Bodies
Preset Systems
Physics Diagnostics
Total energy E
Kinetic energy KE
Potential energy PE
Energy drift
Center of mass X
Center of mass Y
Total |momentum|
Far bodies (>10³ AU)0
Import / Export
FPS --
Bodies 0
Steps/fr 1
Double-click canvas to add body · Scroll to zoom · Drag to pan · Click body to select