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
Sophia Brahe alchemy experiments, so their marriage was delayed some years while he avoided his debtors and traveled to Germany to try to find patrons for his work. Tycho Brahe wrote the Latin epic poem "Urania Titani" during the couple's separation, expressed as a letter from his sister Sophia to her fiance in 1594. Tycho casts Sophia as Urania, muse of astronomy, a further suggestion of his respect for her scientific endeavours. In 1599, she visited Lange in Hamburg, but they did not marry until 1602 in Eckernförde. They lived in this town for a while in extreme poverty. Sophie wrote a