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
1677 Tycho Brahe asteroid has been characterized as a stony S-type by Pan-STARRS survey, and in the SDSS-MFB (Masi Foglia Binzel) taxonomy, which agree with the overall spectral type for members of the Maria family. In July 2012, a rotational lightcurve of "Tycho Brahe" was obtained by Renata Violante and Martha Leake, that gave a short rotation period of 3.89 hours with a brightness variation of 0.38 magnitude (). According to the survey carried out by NASA's Wide-field Infrared Survey Explorer with its subsequent NEOWISE mission, "Tycho Brahe" measures 11.78 kilometers in diameter, and its surface has an albedo of 0.221 (revised 2014-figures).