Both systems have the Sun at the centre, but Copernicus stuck to the ancient model of circles and epicycles to explain the planets' orbits.
Kepler on the other hand used new measurements by Tycho Brahe to suggest, after a lot of detailed calculations, that the planets move in elliptical orbits.
The difference between an ellipse and a circular orbit with an epicycle is extremely small in the case of planetary orbits which have a low eccentricity factor. It was not until Tycho came along that measurements of sufficient accuracy were available for Kepler to make his discovery.
Later the elliptical orbits were explained theoretically, after the discovery of the law of gravity and the laws of motion. This eventually led to Kepler's theory being generally accepted as right, which it still is.
The main difference between Kepler's system and Copernicus' system lies in their approach to planetary motion. Copernicus proposed a heliocentric model, where the Sun is at the center of the solar system, while Kepler's model focused on the elliptical orbits of planets around the Sun. Copernicus' system laid the groundwork for a sun-centered model, while Kepler's laws of planetary motion provided a more accurate description of the paths planets take as they orbit the Sun.
Copernicus's system used circles and epicycles, just like the ancient Ptolemaic system, with the difference that by placing the Sun at the centre Copernicus could simplify the complicated paths taken by the planets through space. Kepler had the advantage of new accurate observations made by Tycho Brahe at the end of the 16th century, and these enabled Kepler to realise that by using elliptical orbits for the planets, the modelled positions could be fitted more closely with the measured positions. Kepler retained the idea of having the Sun at the centre and it is the model used today with slight modifications from Einstein's theory of relativity.
Several people were involved. The main ones were Copernicus, Galileo, Kepler and Newton.
Both systems have the Sun at the centre, but Copernicus stuck to the ancient model of circles and epicycles to explain the planets' orbits. Kepler on the other hand used new measurements by Tycho Brahe to suggest, after a lot of detailed calculations, that the planets move in elliptical orbits. The difference between an ellipse and a circular orbit with an epicycle is extremely small in the case of planetary orbits which have a low eccentricity factor. It was not until Tycho came along that measurements of sufficient accuracy were available for Kepler to make his discovery. Later the elliptical orbits were explained theoretically, after the discovery of the law of gravity and the laws of motion. This eventually led to Kepler's theory being generally accepted as right, which it still is.
Both systems have the Sun at the centre, but Copernicus stuck to the ancient model of circles and epicycles to explain the planets' orbits. Kepler on the other hand used new measurements by Tycho Brahe to suggest, after a lot of detailed calculations, that the planets move in elliptical orbits. The difference between an ellipse and a circular orbit with an epicycle is extremely small in the case of planetary orbits which have a low eccentricity factor. It was not until Tycho came along that measurements of sufficient accuracy were available for Kepler to make his discovery. Later the elliptical orbits were explained theoretically, after the discovery of the law of gravity and the laws of motion. This eventually led to Kepler's theory being generally accepted as right, which it still is.
Galileo. It's more complicated than that. Several people were involved. The main ones were Copernicus, Kepler, Galileo, and Newton.
Johannes Kepler came up with his first law in 1618 which says that every planet moves in an ellipse with the Sun at one focus (an ellipse has two of these). It differs from earlier theories, which were not bad, just complicated, that the planets move in a system of circles. There would be a circle for the main orbit, then another small circle to allow for the fact that each planet is sometimes closer to the Sun or further away than normal, then another small circle to allow for the inclination of the orbit to the ecliptic, and so on. Circles were added to make the planets' observed positions agree with the predictions. Each planet moves round each of its small circles once in the time it takes to go right round its main circle. Copernicus's system with the Sun at the centre had a total of 48 circles for the planets out to Saturn.
Copernicus (1473-1543)Ptolemaic SystemPlanets appear to reverse motions at times.Ptolemy explained motions in terms of orbits (epicycles) carried on a larger orbit (deferent).Epicycle deferent ratios were very close to modern values of planet/earth orbit ratios. System worked very well.Contrary to popular myths, Ptolemy's system was not overly cumbersome, and it accounted for subtleties like the uneven motion of the SunIt is not Ptolemy's fault he did such a good job that it took 1500 years to improve on him!Emerging ProblemsSystem began to seem cumbersome and inelegant.System inaccurate. Alfonsine tables out of date by 1500.Possible clues to Copernican ideaEpicycle motions for Venus and Mercury opposite other planets.Epicycle for Sun's motion appeared in schemes for all other planets.References to now-lost ideas of Aristarchus of SamosHeliocentric IdeaCopernicus replaced epicycles with orbital motion of Earth.Less accurate than Ptolemaic system but conceptually simpler.Published as De Revolutionibus Orbium Coelestium (on the Revolutions of the Heavenly Spheres) 1542.Little immediate hostility. Earlier speculations on moving earth had been decreed heretical, hence moving earth idea could be lightly dismissed.One of most vigorous critics was Martin Luther.Kepler (1572-1630), Brahe (1546-1601)Kepler was a medieval mystic.One of the last of the "scientific astrologers."Attempted to explain spacing of planet orbits by reference to Platonic solids.Kepler was reluctant to abandon perfectly circular motion (but despite his mystic tendencies, he did when the evidence required it).Kepler found many numerological relationships among the planets, of which "Kepler's Laws" are the three that have proven to have a physical basis.Kepler's concept of the Sun as center of solar system may have had a mystical basis.Need for observational data.Copernican theory based on same observational data as Ptolemaic, hence no more accurate.Kepler turned to Brahe, who had the most advanced observational data.Kepler's LawsOrbits are elliptical, Sun at one focus, nothing at other.Radius vector sweeps out equal areas in equal times.Square of period proportional to cube of distance.Kepler and GalileoGalileo and Kepler corresponded.Galileo defended Copernican astronomy but never wrote about Kepler's model.Galileo may have been repelled by Kepler's mysticism.Moral: even the best and most innovative workers can sometimes fail to recognize a major advance.
Like many other Renaissance physicians and artists, Andreas Vesalius was driven of the human anatomy, Vesalius published the results of his anatomical work in the great treatise appeared in the same year that Copernicus redrew the not to mention the fact that in the manifold and infinite difference between.
Copernicus's new theory for the planets of 1543 had the Sun at the centre, instead of the Earth. In this respect it went against the religious teaching of the time. However the Church allowed it to be taught provided it was always described as a theory. Galileo took up the theory after 1600 and eventually promoted it aggressively as the truth and not just a theory. This led to his trial and conviction for heresy. The modern theory of Kepler (1609), that is still in use today, uses the same idea of having the Sun at the centre, but it has the planets in elliptical orbits instead of the circles and epicycles of the old theories of Ptolemy and Copernicus. Kepler's theory was backed up by the new theory of dynamics invented by Newton in the late 1600s long after Kepler's time.
The difference between distributed system and multiprocessor system is whether the processing units in the system share the main memory. If yes, then the system is multiprocessor system; otherwise, it's a distributed system.
The main idea in the Ptolemaic system was that the Earth was at the center of the universe, with the Moon, Sun, planets, and stars orbiting around it in perfect circles. This geocentric model dominated Western astronomy until it was eventually replaced by the heliocentric model proposed by Copernicus.