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THE FEUTEX TOOLKIT

Perpendicular Target Lead

Calculate an intercept for a target moving perpendicular to the initial line of sight.

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FormulaIntercept time = distance/sqrt(projectile**2-target**2); Lead distance = target*distance/sqrt(projectile**2-target**2); Lead angle = asin(target/projectile)*180/PI

Worked example

Inputs

Initial distance
100 game units
Projectile speed
50 units/s
Perpendicular target speed
30 units/s

Expected results

Intercept time
2.5 s
Lead distance
75 units
Lead angle
36.86989765 degrees

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Calculate an intercept for a target moving perpendicular to the initial line of sight.
  2. Set initial distance, projectile speed, perpendicular target speed in the indicated units.
  3. Calculate and compare intercept time, lead distance, lead angle.

Try this example

{
  "distance": 100,
  "projectile": 50,
  "target": 30
}

Accuracy and scope

Idealized educational model. Enter measured values in the displayed units; real systems may require additional corrections. User-defined game-rule arithmetic; no current game mechanics or search-volume claims.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.