Tycho Brahe produce much of his astronomical data, Tycho relied heavily on the then new technique of "prosthaphaeresis", an algorithm for approximating products based on trigonometric identities that predated logarithms. Although Tycho admired Copernicus and was the first to teach his theory in Denmark, he was unable to reconcile Copernican theory with the basic laws of Aristotelian physics, that he considered to be foundational. He was also critical of the observational data that Copernicus built his theory on, which he correctly considered to have a high margin of error. Instead, Tycho proposed a "geo-heliocentric" system in which the Sun and Moon orbited
Tycho (lunar crater) early as 1645, when Antonius Maria Schyrleus de Rheita depicted the bright ray system. Tycho is named after the Danish astronomer Tycho Brahe. Like many of the craters on the Moon's near side, it was given its name by the Jesuit astronomer Giovanni Riccioli, whose 1651 nomenclature system has become standardized. Earlier lunar cartographers had given the feature different names. Pierre Gassendi named it Umbilicus Lunaris ('the navel of the Moon'). Michael van Langren's 1645 map calls it "Vladislai IV" after Władysław IV Vasa, King of Poland. And Johannes Hevelius named it 'Mons Sinai' after Mount Sinai. By convention these