Orbital Resonance — 2D

Number of bodies

Resonance preset Custom radius ratio r₂/r₁: 1.31 Third body radius r₃/r₁: 2.08 Time speed: 1.0× Show conjunction trace Show resonance-angle inset Show orbital trails

Statistics

T₁ (inner)—

T₂ (outer)—

T₃—

Period ratio T₂/T₁—

Phase angle σ—

Behaviour—

Conjunctions0

Kepler's third law: T ∝ r^3/2 for circular orbits. When T₂/T₁ ≈ p/q the resonance angle σ = p·λ₂ − q·λ₁ librates (locks) instead of circulating (drifts), and conjunctions repeat at the same longitudes.

Orbital Resonance — 2D top-down view

Preset: 3:2 t = 0.00 yr