I'd say a bigger problem would be time to target, in one of two ways:
- light speed; being 0.5 seconds away from the enemy moving at orbital speeds means that even the slightest change in direction would put you quite far from where he thinks you are. I'd guess in-combat ships would continuously change direction by minute amounts.
- old fashioned "see the bullet 1000 km away and dodge it".
This leaves one obvious option: autonomous scatter pack missiles. They would get as close to the target as possible, then split into several parts so as to be harder to pick up by laser or kinetic defenses. Payload could be anything, but i'd guess delayed explosives might do a fair amount of damage.
Don't think of changing direction, think of changing velocity. Space is a Newtonian movement system, so accelerating 20 meters per second in some direction is just as easy at 0 km/sec as it is at 10000 km/sec.
As for missiles, I really don't like the idea. If I were tasked with building a 22-nd century warship, I would put a few hundred automated anti-missile lasers everywhere, which would fry the missiles before any of them get close enough to darken the hull.
- light speed; being 0.5 seconds away from the enemy moving at orbital speeds means that even the slightest change in direction would put you quite far from where he thinks you are. I'd guess in-combat ships would continuously change direction by minute amounts.
- old fashioned "see the bullet 1000 km away and dodge it".
This leaves one obvious option: autonomous scatter pack missiles. They would get as close to the target as possible, then split into several parts so as to be harder to pick up by laser or kinetic defenses. Payload could be anything, but i'd guess delayed explosives might do a fair amount of damage.