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Equant
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===From Copernicus to Kepler=== For many centuries rectifying these violations was a preoccupation among scholars, culminating in the solutions of [[Ibn al-Shatir]] and [[Copernicus]]. Ptolemy's predictions, which required constant review and corrections by concerned scholars over those centuries, culminated in the observations of [[Tycho Brahe]] at [[Uraniborg]]. It was not until [[Johannes Kepler]] published his ''[[Astronomia Nova]]'', based on the data he and Tycho collected at Uraniborg, that Ptolemy's model of the heavens was entirely supplanted by a new geometrical model.<ref>{{cite journal |first=Michael |last=Perryman |date=2012-09-17 |title=History of Astrometry |journal=European Physical Journal H |volume=37 |issue=5 |pages=745β792 |arxiv=1209.3563 |bibcode=2012EPJH...37..745P |doi = 10.1140/epjh/e2012-30039-4 | s2cid=119111979}}</ref><ref>{{cite journal |author1=Bracco, C. |author2=Provost, J.-P. |date=24 July 2009 |title=Had the planet Mars not existed: Kepler's equant model and its physical consequences |journal=European Journal of Physics |volume=30 |issue=5 |pages=1085β1092 |doi=10.1088/0143-0807/30/5/015 |arxiv=0906.0484 |bibcode = 2009EJPh...30.1085B |s2cid=46989038}}</ref>
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