Save the game first and disable autosave.
Wait for an incoming asteroid, asteroid swarm, stasis pod, or breach capsule. Once one of these events occurs, you can highlight the incoming object. When you do, a blue line will indicate where the object will land. Relocate the Ship Computer to the end of the line and it will get destroyed. After losing the computer, you will be returned to the title screen.
After reloading the save, you may repeat this process with the Stasis Array for the "No More Hope" achievement.
If the Steam achievement doesn't appear, restart the game.