Several tables based on the Alfonsine Tables were published after the publication of the Prussian Tables. Copernicus's heliocentric claims did not, then, win over the hearts of all European astronomers overnight. Rather, the Prussian Tables became popular in German speaking countries for nationalistic and confessional reasons, it seems, and it is through these tables that Copernicus's reputation was established as a skilled mathematician or an astronomer on a par with Ptolemy, and helped to disseminate the Copernicus' methods of calculating the positions of Astronomical objects throughout the Holy Roman Empire. They eventually replaced the Alfonsine tables, which astronomers and astrologers had used for 300 years.
Christopher Clavius used Reinholds's Prutenic Tables and Copernicus' work were by as a basis for the calendar reform instituted under Pope Gregory XIII. The tables were also used by sailors and sea explorers, who during the fourteenth and fifteenth centuries had used the Table of the Stars by Regiomontanus.
Decades later, in Prague, Tycho Brahe and Johannes Kepler compiled the Rudolphine Tables, based on Tycho's lifetime of astronomical observations, which were the most extensive and accurate observations until his time. Kepler completed Tycho's work and published it in 1627.
In modern times, Owen Gingerich discovered Reinhold's heavily annotated copy of Copernicus' De revolutionibus. This inspired him to explore the dissemination and use of De revolutionibus in the several decades following its publication. Gingerich wrote about his explorations and their results, and the role of Reinhold's Prutenic Tables, in The Book Nobody Read: Chasing the Revolutions of Nicolaus Copernicus (2004).