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Kepler's model of 1609 was more accurate than Copernicus' model of 1543 because it provided a more accurate fit to measurements of the planets' positions made by Tycho Brahe at the end of the 1500s. However, both models predicted the planets' positions fairly accurately, as did the ancient theory produced by Claudio Ptolemy (90-168).

Kepler's model, which has the planets in elliptical orbits, became accepted as right after it was later demonstrated that the elliptical orbits were the result of the newly discovered law of gravity. Kepler's model is used today.

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Q: Was Copernicus or Kepler more accurate?
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