Hyperion Tumbling
Moment ratio (A-C)/B
0.26
Orbital eccentricity e
0.10
Spin rate ω₀
1.0
Time speed
5
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θ: —
ω: —
λ: —
Chaos: —
Hyperion — Saturn's Chaotic Moon
Hyperion's elongated shape (A≠B≠C) causes chaotic tumbling due to Saturn's gravity gradient torque. Equation: θ̈ = −(3/2)(B-A)/C·(1/r³)·sin2(θ−f). Phase space shows chaotic sea. Lyapunov time ≈ 36 days — entirely unpredictable orientation.