ODE 3D Orbit - type an equation, watch it orbit

System

N = 3

Variables

Equations

Starting values

Write one rule for variable i. The app copies it around a ring of N variables, and the ends wrap around.

How many variables

Template

Rule for every variable: dx[i]/dt = i runs 1…N and wraps

Starting value: x[i](0) =

x[i]: variable number i, from 1 to N

x[i+1], x[i-1], x[i-2]: the neighbors. They wrap around (x_N+1 is x₁, x₀ is x_N)

i, N: the variable's number and the ring size

Lorenz 1960 (Tellus 12, 243-254) N = 3

t = 0.000

t = 0.000 lead (0.000, 0.000, 0.000) speed 0.000

E 0.000000 (ΔE: 0.0e+0) V 0.000000 (ΔV: 0.0e+0)

start drag to review any moment · Run continues from here now

· 60 fps

Axes: A, F, G

Axis X₁

Axis X₂

Axis X₃

Color

Color palette

Starting positions

RK4

Time step (Δt)

0.0150

Steps per frame 4

Orbits (M) 20

Trail length 900

Start spread (δ) 1.10

Clear trails while scrubbing