Whoops, my previsous calculation was off a bit. Four layers would use up on 120 inches of wire, not feet! It will take 19 layers and the outer diameter of the coil will be 3 inches.
You should start with the desired muzzle velocity. Then you can calculate the forces needed to to accelerate your projectile to that velocity. Then you should figure out how much force a given coil can impart. I don't think you are going to be able to calculate these, or find tables anywhere, so you are going to have to experiment. You are going to need equipment that will blow your budget before you even get started.
And, by the way, for this coil, the inducance is 3mH. This is means it will take about 10ms for the current to ramp up to 125A when supplied with 40V. Sort of makes 2000 shots per second a little difficult, doesn't it? Oh, I know, your 2000 shots per second is only on the bigger ship mounted gun. But the bigger gun will have much bigger coils with much more inductance. I think you are talking about many kilovolts to be able to turn these coils on and off in 1/2 msec. And now the insulation begins to be a problem. Do you see where this is going?
Bob