Flat Earth can predict and calculate nothing.
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Many people are encouraged to have your misunderstanding.
Consider the geocentric model. It exists, and does all the things you are lauding above. Does that prove the world is the center of the universe?
Of course not, and for the exact same reasons.
Predicting the motion of the lights in the sky comes from charts and the fact that the patterns are cyclical/repeating. It doesn't in any way depend on the conception of the shape of the world.
You are confusing round hear with heliocentrism
It's just an analogy to help you understand why your position is silly. Sadly it didn't help :(
Fundamentally, our belief of the world and its workings has no bearing on that world - including when there is ostensible "predictive" "power".
The reason we can know when the sun will rise and set is because it has happened before, and is reliably periodic. Not because the world is any particular shape.
Then show how you determine sunrise and sunset without a formula that requires a round Earth. Demonstrate that you are right. Should be easy.
You won't because you can't.
You're not listening. They're called charts. Look them up, or don't.
You are just not understanding me. You believe that because such formula exist and are useful that proves that the world must be spherical. This is exactly as wrong, and for the exact same reasons, as believing that because the geocentric model (and its equations) exists and is useful that the earth is proven to be the center of the universe. Hopefully you will understand my analogy a little better now.