Why does this orbit do that?

A gravitational sandbox. Place stars, planets and black holes, drop test particles, and read why the motion is what it is. Now with a colored-noise bath: an Ornstein–Uhlenbeck process with its own relaxation time τ, paired to damping by the fluctuation–dissipation relation.

Space

click to drop a test particle
—
mass 10 GR 0.00
τ 0.20 D 0.0005 dt/τ — γ = 1/τ = — , pairing active
star planet black hole deterministic particle noisy particle (OU) drag a body to move · drag empty space to pan · scroll to zoom
Flux through ring
—
Enclosed mass
—
ω_r / ω_φ
—
escape time
safe

Why — local analysis

Place a body, move the cursor to probe Gauss's law, drop a test particle to trace an orbit, or enable the colored-noise bath.