Democritus has a powercore with a capacity of 90,000 while the Basic Gunboat Missile Turret requires atleast 200,000. So you can mount it, but not fire it.
"Common sense is the best distributed commodity in the world, for every man is convinced that he is well supplied with it." René Descartes
The democritus doesnt have the power core to fire this or a razor, I believe even at full core so your going to have to settle for a blaster turret or something that works on that power core.
Check the wiki on use flstat to confirm is probably best though
Jtan