This might just be me, but are corvettes and crusiers considered capital ships? I had always considered capital ships to be the carriers and the large ships of a fleet that launched crafts, which in this case, would be a Hectates, Typhons, Orions, and Hatshepsuts of the GTVA fleet. Following my mindset, though, I'm not too sure what a capital ship would be for the Shivans (maybe a Rakshasa and up.) Using this definition, though, I think the first chance that a capital ship gets blown up is in Slaying Ravana, a Hatshepsut class thingy. Beyond that, I don't know. Maybe the Orion that you get to blow up in one of those bombing missions...