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I'm having some trouble implementing a homing missile that satisfies what I'm looking for. I have already tried the Seeking and Arrival behaviours described in this link, but none of them were what I wanted. With Seeking, it winds up orbiting the object indefinitely, and Arrival is simply unavoidable.
I'm aiming for something similar to the missiles of this video and the ones of Super Meat Boy - avoidable missiles that nevertheless do the job. It actually looks like a mix of Seek and Arrival, or maybe even the Path Following behaviour described in the first link.
This is my idealized behaviour, with a user-controlled target:
Can I have some insight on the matter? I know that questions regarding homing missiles have popped up quite often around here, but I feel that I'm missing something basic. The first video has an explanation from its creator in the second answer of this question, I didn't quite grasp it, though.