[geoschmo]

You are confusing me with the 1/500 thing. The way I see it what you really need to be concerned about is surface area. Since we don't really know what the thickness of the armor is we can use pretty much any number there. But the thickness should stay the same no matter how big the ships gets. So what we nee is a ratio of surface area from one size to another.

You can get surface area from radius and you can get radius from volume using the formulas you already gave. Calculating the surface area of a 150KT escort and a 1500Kt baseship tells you the surface area of a baseship is 4.64 time larger than the surface area of an escort. So to get the same protection that a 10Kt piece of armor gives to a 150Kt escort you would need roughly a 50Kt piece of armor for a 1500kt baseship.

It's not a linear relationship but there is probably a way to make one formula and calculate the size of the armor based on hull size.

Is that what you are trying to do? I am a little confused. My math is a little rusty.

Geoschmo