A nice shot, it is a pity the circle center is not exactly in the thirds line cross. Indeed, It hink that in such kind of shots where composition is all, a really, really high precision is needed.
I really like this time-lapsed shot, but the emphasis should be the center of the swirl of stars. It would look better if the center was at the intersection of the rule of thirds lines.
I really like the shadows and star trails, but I do not see this as conforming to the rule of thirds as they focal point on the horizontal is more central.