Concluding a review, Carl Muckenhoupt makes a very interesting investigation of the game's underlying premise and the game's failure to engage it rigorously:
"Of course, no analysis of a work of asteroid-impact fiction would be complete without criticism of the physics involved. Blowing up an asteroid doesn’t make the matter disappear. It just breaks it into smaller pieces and starts them moving away from each other. If it’s mere hours away from Earth when blown up, as in this game, will the chunks be moving apart fast enough for most of them to miss the Earth entirely? Or will you just wind up 'shooting yourself with a shotgun instead of a rifle', as one astronomer put it? Mission Asteroid takes the pessimistic view here, and I can only assume it does so inadvertently. If you succeed in your mission, you get a 'congratulations and thank you for playing' message, but the game doesn’t halt. You can keep on playing if you like, even though there’s nothing left to do. And if you do, the time limit is still active. A few turns after I won, the asteroid impact happened anyway."
This game actually was the third Hi-Res Adventure after #1 (Mystery House) and #2 (The Wizard and the Princess). It was numbered #0 as it was created as an beginner level introduction for the Hi-Res Adventure series, being smaller and featuring easier puzzles.