My Ship is Called U.S.S. BULLDOG Nebula Class.
HMS Bulldog was a B-class destroyer of the British Royal Navy that saw service throughout World War II, seeing service on convoy duty in the Atlantic and Arctic. Her most notable action was the first naval capture of a complete Enigma machine and coding documents from the German submarine U-110 on 9 May 1941.
As an Ex Royal Navy Man I couldn't resist
My retro defiant class is called U.S.S. Viper, after the colonial fighter crafts in Battlestar Galactica. It has the serial number of Starbuck's dogtags (from the new series) with an X on the end. Because I feel a Defiant class needs an X on it somewhere.
All my ship names are drawn from British ships that fought at Trafalgar:
U.S.S. Bellerophon: (Click to view Wikipedia article)
Known to sailors as the "Billy Ruffian", she fought in three fleet actions, the Glorious First of June, the Battle of the Nile and the Battle of Trafalgar, and was the ship Napoleon finally surrendered aboard.
Named after the Greek warrior who rode the winged horse Pegasus and slew the monster Chimera.
A 36-gun frigate which took on survivors from the French ships, as well as the captured French Admiral Pierre de Villeneuve.
In the Odyssey, Euryalus is a Phaeacian youth. Homer gives him the epithet "the peer of murderous Ares".
Under Henry William Bayntun, she was near the front of the windward column led by Nelson, and captured the Spanish ship San Augustin.
Leviathan is a sea monster referred to in the Bible. In Demonology, the Leviathan is one of the seven princes of Hell and its gatekeeper.
Fighting in the lee column; she engaged the French ships Neptune and Achille and after the battle towed HMS Victory, carrying Nelson's body, back to Gibraltar.
A gigantic one-eyed son of Poseidon and Thoosa in Greek mythology, one of the Cyclopes. His name means "much spoken of" or "famous". Polyphemus plays a pivotal role in Homer's Odyssey.
Mine is the U.S.S. Asclepius, named after the god of healing in Greek mythology.
And to give the short version of why I came into that name, is that due to unfortunate events, the previous captain of the starship -who was also a well skilled doctor-, was discharged of his duties, and the new captain decided to rename the ship to Asclepius in tribute to the previous captain.
(And I know there isn't a moon named Asclepius in the sol system, but I'm going to pretend that one moon was discovered and it was named Ascleipus. )