“Eventually I found a bug: a missing “divide by two” that had seemingly gone unnoticed for nearly 55 years.”
Jim Storer wrote the Lunar Landing Game as a Lexington High School student in 1969 and used the exact rocket equation with a five-term Taylor series. The physics was better than most modern games. The bug was one missing 2 under a square root. Burn 0.00000001 more lbs/sec than the best schedule and the game sends you up at 114 MPH instead of letting you land.