This is the arcade classic Asteroids, the one after Space Invaders and before Pac-man. It has the outstanding virtue of being simple to play and the graceful graphics are a joy to watch.
You're in the ship centre screen and all you have to do is blast the asteroids that are drifting at you slowly through space. But the big ones break into faster, small ones until they're completely eliminated. Then there are the saucers that fly erractically by with all guns firing. Watch out for the vicious small ones! You can rotate your ship, or set it in motion to chase the rocks. If you're really desperate there's a hyperspace button too. A must for everyone's software library.