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If it had been Atomic Robo, it would be For SCIENCE!With SCIENCE!

If it had been Atomic Robo, it would be For SCIENCE!With SCIENCE!
And the amount that The Sun moves in its orbit is rather smallThe geocentric model of solar system is not wrong. But it does take a lot more calculations to get things right.
The geocentric model of solar system is not wrong. But it does take a lot more calculations to get things right.
Well, yes and no. You seem to be confusing "model" with "coordinate system choice"
The real geocentric models of the solar system were factually wrong - if you have the stars on a fixed celestial sphere, you are wrong.
You can, if you want, do the math of gravitation taking the Earth to be in the middle of it all... if you want to give yourself a brain aneurism. But that's not a different physical model. That's using the gravitational model with a really awkward choice of coordinate system.
The geocentric model is in a non-inertial frame. The coordinate system is an accelerating one. Once you take the fictitious forces into account, it gives the same results as the heliocentric model. It is not wrong; it just takes more work.
The honest-to-goodness geocentric models, before Newton, back in the time of Aristotle and Ptolemy, were factually incorrect in most of their details.
I think @Umbran's point is that the stars in Ptolemy model were supposed to be points on a sphere, so they all were at the same distance from the center of the sphere and had fixed relative positions, which is wrong regardless of whether you are in a geocentric or heliocentric coordinate system.I have to disagree with that. The Antikythera mechanism is an ancient mechanical computer that calculates the positions of the solar system. Reproductions of it, when given today's position of the planets, predicted their movements to the accuracy you would expect from a mechanical computer. They could predict the movement of the planets but they could not explain why they moved that way.