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 Brahe know that it is 7,500 light-years from Earth). This discovery was decisive for his choice of astronomy as a profession. Tycho was strongly critical of those who dismissed the implications of the astronomical appearance, writing in the preface to "De nova stella": ""O crassa ingenia. O caecos coeli spectatores"" ("Oh thick wits. Oh blind watchers of the sky"). The publication of his discovery made him a well-known name among scientists across Europe. Tycho continued with his detailed observations, often assisted by his first assistant and student, his younger sister Sophie Brahe. In 1574, Tycho published the observations made in 1572