Orbit — r(θ) = a(1-e²)/(1 + e cos θ)

Tap to zoom

Orbit

r(θ) = a(1-e²)/(1 + e cos θ)

Kepler's orbital equation — the ellipse traced by every planet. Always returning, never arriving.

Always returning, never arriving

Part of: CYCLES

Digital Download

High-resolution PDF, 300 DPI, print-ready

Or get the complete CYCLES series for $82 →

More from CYCLES

Loom — x(t) = x(t + T), T = 2π/ω

Loom

x(t) = x(t + T), T = 2π/ω

Moebius — r(t) = ((2 + cos(t/2))cos t, (2 + cos(t/2))sin t, sin(t/2))

Moebius

r(t) = ((2 + cos(t/2))cos t, (2 + cos(t/2))sin t, sin(t/2))

Phase Portrait — ẋ = f(x,y), ẏ = g(x,y)

Phase Portrait

ẋ = f(x,y), ẏ = g(x,y)

Recurrence — R(i,j) = Θ(ε - ||x_i - x_j||)

Recurrence

R(i,j) = Θ(ε - ||x_i - x_j||)