I'm a bit embarrassed to admit I didn't realize you'd already solved this, because I hadn't played all the way until level 25 the first time around. Your method looks fantastic.
Oh - haha - no problem. One of my favorite parts of watching people who know about relativity play this game is seeing them a) think of an effect that isn't shown in the game, and state that out loud, then b) reach the level that the effect is introduced. (Doppler shift, aberration, etc.) Makes me smile every time.