I have to disagree with that.
Dude. Celestial deferent and epicycle spheres, an another sphere with the stars upon it. Ptolemy's estimates for distance to the various planets were generally off by an order of magnitude and more. It was wrong.
The Antikythera mechanism is an ancient mechanical computer that calculates the positions of the solar system.
Yes, but a doctor can give you willow bark tea to relieve pain, while still working with a model that says your humors are out of balance, and not washing their hands before surgery.
The Antikythera mechanism could only predict the positions of the major planets for which they had long periods of observation, and extrapolate that into the future. They could not predict the motions of celestial objects not originally in their catalogue - like, say comets. It was not, in fact, a general model of motion.
Impressive? Sure. An accurate model? No.