Can we say that today solar system is heliocentric as proposed by Copernicus?
Yes and no. Available evidence strongly supports a system in which the planets orbit the Sun, as in the heliocentric model. However, Copernicus still tried to use perfect circles for planetary orbits, requiring an absurdly complex system of orbits on orbits on orbits to account for the observed motion of the planets. It was not until Kepler proposed eliptical orbits that the system was simplified, and it is the Keplerian version we use today.
