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The redshift controversy proposed by Halton Arp primarily revolves around his assertion that redshifts of galaxies are not solely due to the Doppler effect (which indicates their movement away from us) but rather could be influenced by other factors, such as intrinsic properties of the objects themselves. Arp's observations suggested that some galaxies exhibit high redshifts while being physically close to others with lower redshifts, challenging the conventional understanding of cosmic expansion.

In terms of implications for calculating the center of our galaxy, the controversy does not directly affect the precision of these calculations. The location of the center of the Milky Way is primarily determined using astrometric measurements of stars and gas dynamics in the central region, particularly around Sagittarius A*, a supermassive black hole located there. These measurements rely on the proper motion and distance estimates of stars, which are not fundamentally altered by the redshift issues raised by Arp, as they deal mainly with local dynamics rather than the scale of cosmic distances.

However, if Arp's ideas were to gain widespread acceptance and led to significant re-evaluations of our understanding of redshift, it could hypothetically impact other aspects of cosmology and the broader interpretation of data, including distant galaxies’ behaviors. Still, it's important to note that as of now, Arp's views are considered unconventional and have not changed the standard model of cosmology significantly.

In conclusion, while the redshift controversy could spur discussions on cosmic scale interpretations, it does not inherently modify the established methods for determining the center of our galaxy.