This is how old air-to-air missiles worked. They would steer until the image of the target stopped moving. This was something simple enough that you could make it work electronically in the 1960s.
That seems to be a weird way of describing "steer so the target is always in center of the image".
Instead you want to intercept the target. You want to reach the point where the target will be, and at the same time as you. So keep the target to the side, at a constant angle.
If you instead steer so the target’s bearing doesn’t change, and ignore whether that bearing is in the center or somewhere else, the missiles are much more likely to hit.