Here is a testing challenge, that Eusebiu Blindu and Nathalie Rooseboom de Vries van Delft motivated today. Let me know what you would do.

Mission:
Consider yourself to be on the first software testing team back in 1958 at the Project Mercury, NASA. No one ever did something like this, though the activities might be around. How would you test this? Please provide your testing strategy, and approach.