So it appears that there is a trick to skip the somewhat tedious exercise of wheeling captured ships back to a port in order to own it. I've checked that this works both with landed ships and docked ships in space, but is slightly more complicated/annoying in space.
Step-by-step:
- Sit in pilot seat of stolen ship.
- While sitting, open Fleet menu to stolen ship page (Should be first page you see menu -> fleet menu)
- Set stolen ship as Home ship
- Return to original ship
- (LANDED SHIP) Easy, just walk back.
- (SPACE SHIP) Your original ship will immediately undock and start flying off. What you need to do is to turn, target your original ship, and DOCK IT AGAIN. You can then

