Chasing down a tank

Concept summary and lesson

Proportional Navigation

Here's the main idea in a nutshell: You want your tank to be on one side of a triangle, and the enemy tank to be on another side. Since triangles come to points, that guarantees you'll intercept them if you can keep going long enough.

You know if you're on a triangle by watching the angle between the direction you're heading and the target. If the angle isn't changing, you're on an intercept triangle. If the angle is changing, then you should steer in the direction of the change.

The proportional part is a tuning parameter you can use to decide how much you turn when the angle is changing - bigger numbers mean sharper turns.

Media resources

Shot leading without trigonometry
Proportional navigation law

Homework