Jacobi integral E − ΩL
Rotating walls, no gravity, e = 1, μ = 0. The walls change the ball's energy at every bounce, but E − ΩL must stay constant. 8 polygons × 30 s.
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Same test, 2025-style solver
Bounces computed as if the wall were standing still. This is the reference failure.
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Energy with static walls
g = 9.81 m/s², e = 1, μ = 0. Exact ballistic arcs plus time-of-impact rewinding. 8 polygons × 30 s.
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Slide-to-roll, v = ⅔ v₀
A disk launched without spin must end up rolling at exactly two thirds of its launch speed, for any μ.
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No tunneling
60 balls at 25 m/s in a closed hexagon spinning at 8 rad/s, 10 s. Adaptive substeps cap motion at 0.4 radii per substep.
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