Psychologically There Is a Great Difference

In fact most of Copernicus’ book runs closely parallel with Ptolemy’s exposition, only the minimum changes being made to adjust the treatment of the Sun-centered theory; and most of the numerical constants are simply Ptolemy’s figures transformed.

Not unnaturally, Copernicus had not rid himself completely of the old Earth-centered terminology, and the centre of the universe for him is still the centre of Earth’s orbit.

In fact, a modern geometer might observe that as a matter of pure mathematics it makes no difference to the relation between them whether A revolves around B or B around A, as long as they are both regarded as points –
but psychologically there is a great difference.

A.M. Duncan (translator introduction)
Nicolaus Copernicus
On the Revolutions of the Heavenly Spheres