Why does the Earth move in its orbit around the Sun, while the Sun itself does not appear to move in the same way?

The Earth moves in its orbit around the Sun due to the force of gravity, which keeps it in a stable path. The Sun, on the other hand, does not appear to move in the same way because it is much more massive than the Earth and is the center of our solar system, so it remains relatively stationary as the planets orbit around it.