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The proposed the heliocentric system.
look it up on dictionary.com :P Dictionary sources don't give a synonym for heliocentric, they give another term for it: The Copernican Model.
Helios is Greek for the Sun, so helio-centric means the Sun is at the centre.
Nicolaus Copernicus
The heliocentric 'theory' is not really a theory at all, more an assertion that the Sun is at the centre of the solar system. Copernicus's theory assumes that the Sun is at the centre and provides a model of the planets' orbits that uses circles and epicycles to explain the observed orbits. He said it was simpler than the old "geocentric" (Earth centred) Ptolemaic system, but it was not really, it actually had more epicycles. Note: Perhaps the questioner got mixed up. The Copernican theory IS a heliocentric theory. Perhaps the question is about the geocentric theory and the Copernican theory. Anyway, Kepler simplified the heliocentric theory and now we know that his model is correct.
A geocentric theory is one that states the universe is centered by Earth. Geo means earth. The old Ptolemaic Model of the universe has earth as the center. A heliocentric theory is one that is centered by a source of heat. Helio = heat. It basically states that the sun is the center of our galaxy. (Copernican Model)
The Sun-centered or heliocentric model of the solar system is called the Copernican model (after Copernicus) and more closely matches the modern astronomical notions. By contrast, the geocentric or Earth-centric model is often called the Ptolemaic.
The Ptolemaic Model followed a geocentric model of the solar system. This was then challenged by Nicolaus Copernicus, who claimed a heliocentric model which sparked an integral part of the Scientific Revolution called, the Copernican Revolution. Copernicus' proposal was followed by the Tychonic Model, with attempted to compromise with the geo- and heliocentric models. Then, Kepler improved by suggesting elliptical orbits. The Copernican Revolution came to a close with further speculation from Galileo Galilei and Isaac Newton TL;DR Because they were wrong
The heliocentric model is the one that replaces the geocentric model because the heliocentric model better described the solar system.
Although there were several thinkers which proposed something like the heliocentric model before him, Copernicus is identified most with the idea; and it took his name, the Copernican system, contrasting with the geocentric model that identified Earth as the center, known as the Ptolemaic model.
heliocentric
The geocentric. The two systems were the geocentric and heliocentric, the former with the earth at the solar system's center, and the latter with the sun. Because Copernicus championed the latter, it is often called the Copernican model.