Never. The center of the Solar System is basically the Sun. Actually, the Solar System's center of mass is outside the Sun, but very near to it.
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Aristotle was the first the theorize that Earth was the center of the solar system.
earth
In the geocentric model of the solar system, Earth is considered to be at the center with all other celestial bodies, including the sun, planets, and stars, orbiting around it. This model was widely believed in ancient times but was later replaced by the heliocentric model, which correctly places the sun at the center of the solar system.
The geocentric model states that Earth is the center of the solar system, with the sun, moon, and planets revolving around it. This model was widely accepted in ancient times but was replaced by the heliocentric model proposed by Copernicus, which places the sun at the center of the solar system.
Such principle of belief that earth is the centre of the solar system is geocentrism. The model is called a Geocentric model.