The dome on my galaxy compass was getting hazy and difficult to see, particularly at night. Rather than send it off for repair, or purchase a new dome and attempt to install same, I figured what the hey. Get one of these headlight restore kits and give it a try. Much more to gain here than there was to loose. Ended up with a 3M kit, that had several very fine grades of sand paper, some rubbing compound and the necessary attachment for using on a regular power drill. After reading the instructions, which I usually don't bother with, I didn't think I wanted to attack the dome with sand paper on a drill, even very fine grain paper. Went instead straight to the little foam pad and rubbing compound. Like a miracle, after less then 30 minutes work, I now have a much clearer dome, although not quite like new. But think I will give some polishing compound a try before I call it done. Even if I can't make it any better with polishing compound, what I have is 100% better than what I had.
