I see no particular reason why missiles should be that slow. Sprint pulled 100G or so at launch in 1960s. From a game balance viewpoint it means that the missile will close with the ship a turn or two quicker. The ship still has an opportunity to shoot at it with point defence weapons.[ . . . ]
IYO how important is it to have that 'fast as ship' missile speed?
The kinetic energy of a missile travelling at 10's or 100's of km/sec (10G for 1,000 sec gets your missile up to 100km/sec) is large enough that even a single fragment will do a lot of damage. At 3 km/sec the kinetic energy of a solid projectile is equivalent to the explosive yield of its weight in TNT. This is a quadratic law. At 30km/sec the kinetic energy is equivalent to 100x its weight in TNT. At a little over 100km/sec the kinetic energy is equivalent to 1,000x its weight in TNT.[ . . . ]
Second opinion, lately I've been visualizing missile warheads as delivering an optimized to-hit pattern of solid AP penetrators accelerated the last few 1000km with an explosive charge.
However, it occurred to me that like PA fire or plasma/fusion guns, missiles could fire off several HEAT bolts that do not dissipate quickly in space due to no atmosphere or charged particles. Is that reasonable?
This means that a single tungsten fragment the size of a golf ball (about 42cc volume, weighing 0.75kg) travelling at 100km/sec relative to the target will have a kinetic energy in the region of 3.75x109J, equivalent to the explosive yield of 890kg of TNT. A fragment the size of a BB (weighing about 2.4g) would have kinetic energy of 12 millon Joules, equivalent to just under 3kg of TNT. By comparison, this is about 50% more than the muzzle energy of a 120mm APFSDS round.
At these velocities the kinetic energy of the warhead dwarfs any explosive effects you will get for a given mass, so simply maximising the number of fragments with a small bursting charge is optimal for a warhead intended to be used in a vacuum.
In an atmosphere the fragments might burn up quickly, so missiles intended for use around the margins of a planetary atmosphere might have a different design.