Thinking Outside of the Rectangular Box
Fox's and rabbit's sketched trajectories (bird's-eye view). After a long time, the fox ends up running at a constant distance behind the rabbit.
The chase as viewed from the rabbit's reference frame. The rabbit is sitting at the origin, the x-axis is pointing along its path, and the z-axis is passing through the fox and the rabbit. The angle that the z-axis makes with respect to the x-axis, θ, is changing with time from π/2 down to 0. Z is the distance between the fox and the rabbit, whereas X is their horizontal separation.
Missile's and plane's sketched trajectories (bird's-eye view). After a finite amount of time, the missile catches up with the plane.
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