As you can tell in this simple experiment done during the Apollo 15 mission, Galileo’s laws of gravity couldn’t be more correct- even on the moon hundreds of years later.
When commander David Scott drops a hammer and a feather at the same time, they also land on the moon’s surface at the exact same time. Sure Galileo invented the telescope and saw the moon while he was alive, but he probably never imagined his experiments would one day take place on it’s surface.
Aside from proving that the earth revolved around the sun, Galileo also invented the thermometer and the compass. Without his inventions, it’s safe to say none of the moon landings would have ever taken place.