Earlier quoted context omitted.
The three links, especially the LW comment, go into details of what exactly this is supposed to mean. TL;DR: The models that were popular in times of Galileo weren't stories told to poor villagers by the Evil Church; they were precise mathematical tools that could be used to predict in advance the positions of planets, eclipses, etc. They also had an elaborate explanations for what the parts of their models mean. And…
> It eventually took Newton, few decades later, to basically sort things out by providing a) an actual explanation for why stuff would orbit other stuff I'm not sure how you got here. By the standards you're applying to Galileo, Newton did nothing of the kind. The limit of Newton's explanation for why stuff orbits other stuff is "because it's stuff" (you might say "because the stuff has mass"... but all stuff has mas…
What, specifically did the Tychonic system predict that was known to be false in the early 17th century? As far as I know, the interpretations of its model were kind of a mess, but the model itself was fine, up to the precision of then-known instruments.