Baseball: Pitch, Magnus Break and Batted Ball (3D)

Pitch presets

Auto-swing (timed to the pitch, shifted by the timing slider) Auto bat height (bat follows the pitch height)

Parameters

Drag the amber target in the strike zone to aim the pitch; drag fielders to reposition them; drag elsewhere to orbit, wheel or pinch to zoom. Press Pitch, then Swing (or Space) to swing manually, or leave Auto-swing on and shift the timing. Physics: gravity + quadratic drag (Cd 0.35) + Magnus lift (Cl = S/(0.4+2.32 S), S = rω/v) integrated every 0.5 ms; the release angle is solved so the pitch crosses the aim point; bat-ball impact uses a restitution (e = 0.5) collision with friction-induced spin. Contact cm* = distance of impact from the bat sweet spot (negative = toward the handle). The ball is drawn 2.3x larger than life.