One reason that Brahe's model may still be used today is that he made excellent and surprisingly accurate calculations for stellar parallax: the apparent relocation of stars based upon locational point of observation (illustration: the clock on the wall seems to relocate from beneath your thumb when looked at through one eye and then the other). Brahe's observations were correct and, therefore, remain correct today. The mistake in the scenario was the conclusion he surmised from the facts he had gathered.
He rightly realized that, based on the facts, either (1) the stars were so very far away that there was no stellar parallax (no apparent relocation of stars relative to locational point of observation) or (2) Earth is the center of the Universe. Unable to fathom a universe so very large that there could be no parallax, Brahe chose the more familiar Copernican and Ptolemaic idea that Earth is the center of the Universe. He was, of course, mistaken: the Universe is indeed that large and, in fact, even larger.