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Imagine that there is only the Sun and the Earth (forgetting about the other planets, for simplicity). Actually Earth wouldn't move around the Sun, but both move around their common center of mass. The Sun being 333,000 times more massive, this center of mass is that much closer to the Sun's center. "The Sun moving around Earth", or to be more accurate, having both move to a point that is closer to the Earth, is impossible, unless their masses changed - it would violate all sorts of physical laws; for a start, Newton's Laws of Motion, and the Law of Conservation of Momentum.

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No. Earth moves in an ellipse around the Sun; when it is closest to the Sun (at its periapsis, in January), it moves faster, and when it is furthest from the Sun (at its apapsis), it moves slower.


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Earth moves faster in its orbit around the sun when it is closer to the sun, which happens in December. This is due to the conservation of angular momentum in the solar system, where the closer a planet is to the sun, the faster it moves in its orbit.


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An eclipse happens when the moon moves between the earth and the sun.


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What evidence shows that the Earth orbits the Sun?

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