Configuration

Number of bodies

Resonance preset (p:q) Inner semi-major axis a₁: 1.00 Outer semi-major axis a₂: 1.31 Third body axis a₃: 2.08 Time rate: 1.0× Show conjunction lines Show resonance-angle inset Show orbital trails

Statistics

T₁ (inner)—

T₂ (outer)—

T₃—

T₂ / T₁—

Resonance angle σ—

Behaviour—

Conjunctions0

Mean-motion resonance: when two periods satisfy T₂/T₁ ≈ p/q, the resonance angle σ = p·λ₂ − q·λ₁ librates (oscillates) rather than circulating, locking conjunctions to a few directions. Kepler's 3rd law: T ∝ a^3/2.