X Trench Run Math 90%

[ P_\texthit = 1 - \exp\left( -\fracR^22\sigma^2 \right) ]

(h) (depth to target):

No lateral motion needed if flying straight down the trench centerline — but if the port is offset, or the X-wing is drifting: x trench run math

:

Eliminate (t):

Assume the torpedo enters the port horizontally at speed (v), then experiences a constant vertical acceleration (a) (from the magnetic field) over a short distance (d) (the shaft length before impact).

[ h = \frac12 a \left( \fracdv \right)^2 ] [ P_\texthit = 1 - \exp\left( -\fracR^22\sigma^2 \right)

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.

[ P_\texthit = 1 - \exp\left( -\fracR^22\sigma^2 \right) ]

(h) (depth to target):

No lateral motion needed if flying straight down the trench centerline — but if the port is offset, or the X-wing is drifting:

:

Eliminate (t):

Assume the torpedo enters the port horizontally at speed (v), then experiences a constant vertical acceleration (a) (from the magnetic field) over a short distance (d) (the shaft length before impact).

[ h = \frac12 a \left( \fracdv \right)^2 ]

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.

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