Tycho Brahe is located in the Cerberus hemisphere of Mars, around 49.8° south and 213.9° west, in an area which is southeast of the Martz crater and east of the HellasBasin. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On Mars large craters are named after deceased scientists, writers and others who have contributed to the lore of Mars. Small creaters (less than 60km) are named after small towns and villages.