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The current model with the Sun being relatively stationary at the center of the Solar System and the planets orbiting around it is called heliocentric - and differs from the notion of the Earth being at the center and other planets and the Sun itself orbiting around the Earth (geocentric). Currently Aristarchus gets credit in 3rd century BC for the notion, but he didn't get much attention. It wasn't until the 16th century when Copernicus revived the idea that it gained some traction. Later Kepler and Galileo contributed some supporting mathematics and observational data.

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