The Clairvoyant Curves Of Pursuit

star shapedLet’s say you see a rogue fighter aircraft on your territory and you want to demolish it. Well, not you per se, but a person who is in charge of these things! Anyway, you send your pilot so that he can chase the aircraft and destroy it. But how will he determine the path of his aircraft so that it takes the shortest path? Bear in mind that the target is moving. If the target moves in a straight line, this is a pretty simple problem. But it almost never happens in real life. Also, if you chase the target but arrive there in a vulnerable position, you might get attacked by the target itself. You need to arrive there in time and also in an offensive position. How do we solve this?   Continue reading