X Trench Run Math !!better!! -

Plug numbers: (\fracR^22\sigma^2 = \frac12(0.74^2) = \frac11.095 \approx 0.913)

That matches the movie’s tension — only a few minutes from “begin your attack run” to firing. The proton torpedoes must turn 90° downward into the exhaust port. But with a magnetic “bend” (in-universe), the real math is a gravity-assisted turn , similar to a ballistic curve.

[ P_\texthit \approx 1 - e^-0.913 \approx 1 - 0.401 \approx 0.599 \ (\text59.9%) ] x trench run math

(h) (depth to target):

[ h = \frac12 a t^2 ] [ d = v t ]

[ \textLead angle \theta = \arctan\left( \fracv_\textlateralv_\texttorpedo \right) ]

[ a = \frac2(20)(100^2)10^2 = \frac40 \cdot 10,000100 = 4,000 \ \textm/s^2 \ (\approx 408g) ] Plug numbers: (\fracR^22\sigma^2 = \frac12(0

That’s extreme but possible with sci-fi tech — the key is precise timing. If the port is fixed in space but the X-wing moves laterally at speed (v_x), the torpedo must lead the target.