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Kepler's first law of planetary motion stated that the planets move in elliptical orbits with the Sun at one of the foci, contrary to Aristotle's and Copernicus's belief in circular paths. This deviation emphasized that orbits were not perfect circles, marking a significant departure from the established circular-centric views of the time.
Ptolemy and Copernicus' ideas about the universe are different from each other in the sense that Ptolemy thought that every celestial object as well as the sun and the moon orbited the Earth whereas Copernicus had the thought that all planets orbited the Sun, while the Moon orbited the Earth.
Galileo concluded that the sun was rotating on its axis by observing sunspots and tracking their movement across its surface. This discovery supported the heliocentric model proposed by Copernicus, which suggested that the Earth and other planets revolve around the sun.
It was a German astronomer by the name of Johannes Kepler who did a whole lot of geometrical calculations from new and unusually accurate observations made by Tycho Brahe. Kepler showed that the planets each move in an elliptical orbit and he gave three laws describing exactly how they move, and it was found to be much more accurate than the previous models of Ptolemy and Copernicus. He did not know why they behaved as they did and we had to wait until Isaac Newton explained it using his new theory of gravity.
Kepler's Laws of Planetary Motion describe the motion of one object in orbit around another. Newton's Laws of Motion and the Law of Universal Gravitation describe how objects move in response to a force and how objects are attracted to each other.