Just because your displaying results in 10s increments doesn’t mean anything about the simulation frame rate. You could still simulation 10k frames at 1ms granularity between the results printed each ms. The challenge is computational for a 1960s machine and a closed form solution is sensible here for that reason.
Oh, thanks. There was an arcade game called Lunar Lander and I thought that this was the exact same thing, and I guess I didn't pay much attention to the pictures.