By including boosts, barrel rolls, and tractor token repositioning all within the category of "moving", there are interesting new second edition rules that it may be important to keep in mind. Tractor token reposition specifically says that it allows the victim to "move through" obstacles. "Moving through" an asteroid causes a ship to skip its Perform Action step that round. So, if you tractor them in such a way that the template or ship overlaps the obstacle, they skip their action even if they clear the obstacle without overlapping during the ship's normal maneuver execution.
This also effects TIE Strikers and TIE Reapers: if their aileron movement moves through an asteroid they get no action. This is a change from 1st edition that matters.
Happy Spacetugging!