It's not so much trying to make the ball shiny -- it's trying to get the top coat off to reveal the underneath very shiny base. It appears the ball started out as a very shiny metal, then some sort of black reflective coat was added (which I liked a lot when it was new). That black layer is the one that has oxidized (or whatever) and is now dull and peeling. I'm trying to get to the shiny underneath part. Perhaps I'll try some paint thinner and see what that does to the outside layer...
