Well that's what I tried to do, but most shots didn't go for the TIE's, or for that matter, straight. I tried many times to destroy them, but the debris didn't lock onto the TIE's. They often locked onto something else completely, even when I threw it right in the path of the target.
Another thing that I tried with the star destroyer was moving the right joystick up and down as I pulled it one way or the other. It's an exercise for the right thumb, but I noticed it centered the destroyer much faster than just pushing up or down and holding it there. (Hold Left joystick left or right to center the destroyer. The Right joystick can be held up or down, but shifting the stick constantly can increase how quickly you pull the destroyer left or right)