One of SWTOR’s most blink and you’ll miss it Easter Eggs. The Republic Fleet has it’s own ghost in space!

Keen eyed players that hang around in the Coruscant Departures Hangar Bay (where you leave for the Esseles Flashpoint) spotted a dead body that floats by on roughly a half hour interval in orbit of the Republic Fleet.

It takes the body about 30 seconds to go from one side of the Hangar bay airlock to the other before dissappearing offscreen again. While doing so it makes several flips in circles, whoever it once was.
So if you want to catch it, keep an eye on the forcefield at the end of the Coruscant Hangar Bay and perhaps you might see it float by!

Perhaps they were ejected for Rakghoul Fever.