It will be no longer a guided missile, but is so simple that I'll do it. I am designing general optimization techniques for games, and in the end I'm going to publish a paper. Though simple your idea helped me, and I would like to mention it . May I know your real name?
Have I got it right:
A missile flyies in straight line, above a target in straight line. The missile wants to know the time to start turning. The turn will be with a constant direction changing?(a circle). If the missile keeps turning the same amount in the same time interval, the trajectory...
Do you have tthe solution for that case? I think it only makes the problem harder.
This is what I did so far: I considered polar coordinates. So there will be two accelerations, straight line and rotation, given by:
dr/dt=-Vm-Vtcos(Betha-Alpha)
rdBetha/dt=Vtsin(Betha-Alpha)...
Unfortunately, the missile has to follow the target, not anticipate it. The missile starts from the origin, so for a speed greater then that of the target it will eventually hit it. This of course, for the case I have: the target doesn't change it's course one bit. Keeps going in straight line...
Hi!
I'm designing a game. Given a target moving on a straight line, with constant speed, followed by a guided missile with a constant speed. The missile is faster than the target. It is always headed towards the target. No deviation due to inertia or whatsoever. Supposing the target is a...