In the old geocentric system, in which people believed what they could OBVIOUSLY see - that the Earth was standing still and the Sun, Moon and stars traveled around the Earth - everything in the sky was fine. Well, not quite; there were five things in the sky that did not behave the way they were supposed to.
Those five things were "wanderers", or in the Greek, "planets". They did NOT move with the stars, the way the stars always moved. These five planets - which we now call Mercury, Venus, Mars, Jupiter and Saturn - "wandered" around the sky! Sometimes the moved quickly, sometimes slowly, and sometimes backwards from the way all the other stars behaved!
Aristotle, the Greek philosopher, believed that everything moved in circles, that the Earth - Athens, in fact - was the center of everything, and that everything had its own unique "nature", and that no good could come from trying to figure out any grand principles of the universe. However, by claiming this he single-handedly stunted the development of western civilization for a thousand years. For 13 centuries after him, his pronouncements were universally accepted as truth, even though he seems to have been in error about EVERYTHING he said.
So for 13 centuries after Aristotle said that EVERYTHING traveled in circles, astronomers and mathematicians tried to reconcile their observations with the Aristolean notion of circles. (Hipparchus had proposed the heliocentric concept around 130BC.) Circles within circles, or "epicycles", were one of the concepts that tried to interpret the more-and-more accurate measurements of the heavens. It finally fell to Nicolas Copernicus to broadly state the heliocentric theory, and to Johanne Keppler to propose that the planets moved in elliptical orbits rather than circular ones.
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Heliocentrism posits that planets, including Earth, orbit around the Sun, providing a simpler explanation for the movement of planets than geocentrism, where everything revolves around Earth. The term "wandering stars" comes from the fact that planets appear to move relative to the fixed stars. By placing the Sun at the center of the solar system, heliocentrism accounts for the observed patterns of planetary motion without the need for complex epicycles or retrograde motions, as required by geocentrism.
The theory that the earth revolves around the sun is heliocentrism.
Geocentrism places Earth at the center of the planetary system. Heliocentrism, correctly, places the sun at the center, hence: the Solar System.
The theory of heliocentrism, which states that the Earth and other planets revolve around the Sun, was proposed by the ancient Greek astronomer Aristarchus of Samos. However, it was popularized and further developed by Nicolaus Copernicus in the 16th century.
Copernicus likely kept his theory of heliocentrism to himself out of fear of backlash from the prevailing religious and scientific authorities of his time, who favored the geocentric model. He may have also wanted to further refine his theory and gather more evidence before presenting it to the public.
The sun-centered theory, known as heliocentrism, was confirmed by observations made by the Polish astronomer Nicolaus Copernicus in the 16th century and further supported by the observations of Galileo Galilei in the 17th century. The idea that the Earth revolves around the sun replaced the previously widely accepted geocentric model.