Question

identifying a solar system model
which represents the copernican model that is most similar to that of aristarchus?

Explanation:

Aristarchus proposed a heliocentric model with the Sun at the center and planets orbiting it. The Copernican model also had a heliocentric view. The first model here shows the Sun - centered system which is most similar to Aristarchus's concept.

Answer:

The first model (with the Sun at the center and planets orbiting it)