Question

How does the apparent path of the sun change as the earth revolves around the it?

Answer 1

The entire Sun-system orbits around the center of our galaxy, Milky Way. The contribution ( if any ) by the Earth alone, for changes (if any ) in the path of the Sun, is negligible.

Explanation:

The entire Sun-system, including the Earth, orbits around the center

of our galaxy, Milky Way. The galaxy's gravitational centripetal force

keeps the solar system, as a whole, in an orbit around its center, at a

distance of about 27 K light years, with period 250 M years, nearly.

The contribution ( if any ) by the Earth alone, for changes (if any ) in

the path of the Sun, is negligible.