There's a Ben Bova story about a moonbase [I think it is called MEN OF GOOD WILL, in the FORWARD IN TIME collection] where you have russians at one part of the moon and americans at another. They took some shots at each other at some point, and the bullets just keep going round & round, so at a certain point every month they have to lay down on the floor as the bullets come back to perigee and shoot the hell out of each base. It's pretty funny, as it is the only place in the verse where russians and americans are no longer able to fight each other.
I definitely remember this story, had forgotten who wrote it and where I read it...
...and I like that TNG pitch too.