Unanchor, move one tile, anchor. Do all your other stuff, end turn ... your starbase builds.
Next turn: unanchor, move one tile, re-anchor.
Rinse, lather, repeat.
This is probably an exploit, else unanchoring starbases wouldn't halt production ... but if you re-anchor before end of turn, your starbase still builds.
EDIT:
Upon testing ... this doesn't actually work. I guess Stardock fixed this exploit at some point.
