N-Body Simulator

2D GRAVITATIONAL · VELOCITY VERLET INTEGRATION

Simulation Control▾

t = 0.00 s

Speed (steps/frame)

Log-scale. Each step = one full Velocity Verlet integration of Δt. Higher = faster simulation, lower accuracy.

×1

slow×10×100×1000fast

Δt: —
Sim rate: —

Δt value

Physics timestep per integration step. Smaller = more accurate. Error ∝ Δt².

Δt unit

Softening ε (m)

Prevents 1/r² singularity: r_eff = √(r²+ε²). Set 0 for exact physics (may diverge at close approach).

G constant (m³ kg⁻¹ s⁻²)

View Controls▾

Zoom—

Orbital trails

Trail length (steps)500

Velocity vectors

Star field

Body glow

Labels

Coordinate grid

Acceleration vectors

Units & Scale▾

Distance unit

Mass unit

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

Add Body

Name

Mass (M☉)

Display radius (px)

Color

Position (AU)

Velocity

Vx (m/s)

Vy (m/s)

N-Body Simulator

Add Body

Import Simulation

Export Simulation