The first Lunar Lander game, written in 1969 by a high school senior, contained a 55-year-old bug that was recently discovered. The game's physics simulation used a sophisticated approach, including the Tsiolkovsky rocket equation and a Taylor series expansion, but a missing 'divide by two' in the code led to incorrect results. The bug was found by analyzing the game's optimal fuel burn schedule and comparing it to the theoretical best strategy. The discovery highlights the impressive numerical techniques used in the game, considering the limited resources and knowledge available at the time.