Is it possible only by logical reasoning to prove that the Sun is motionless, and the Earth moves around it?

Is it possible only by logical reasoning to prove that the Sun is motionless, and the Earth moves around it? Is it possible to prove the opposite?

The question is debatable, but just based solely on observations of the movement of the sun across the sky, it is most likely impossible to prove the original statement. For this, it is necessary to go beyond the earth’s surface with the mind. But it turned out to be possible to prove the opposite.