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The geocentric view was captured in Ptolemy's model in ancient times, and it was not until 1543 that Copernicus brought out an alternative heliocentric model with the Sun at the centre. He claimed that the new model was geometrically simpler, and there were good reasons for that view. Both these models used circles and epicycles to explain the planets' observed movements among the 'fixed' stars, and they were both fairly accurate.

In 1609 Kepler published yet another heliocentric model that had the planets in elliptical orbits. The new model fitted a new set of highly accurate observations by Tycho better than the old models. However there was at that time no way to decide which model was correct, other than the better accuracy of Kepler's theory.

Within the next 100 years the law of gravity and the laws of motion were discovered, and Newton demonstrated theoretically that the planets must move in elliptical orbits under the Sun's gravity. Within the next 100 years after that the distance to Venus was measured and the dimensions of the whole solar system could then be calculated.

It was then possible to show that the Sun is far more massive than the planets, and therefore it must be at the centre.

The final discovery of stellar parallax in 1838 demonstrated that the Earth actually moves around the Sun. After that no-one could credibly deny the heliocentric idea.

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Q: What order of events that brought about the transition from geocentric to helocentric cosmological view?
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