After all, the planets do not orbit exactly around the Sun

After all, the planets don't actually orbit exactly around the Sun. For decades we've learned that Earth and the other planets orbit the Sun. This explanation is considered correct for an introductory class, but the reality is a bit more interesting. Yes, even the Sun has its own center of mass with the planets, which means no body in the solar system orbits a perfectly fixed point. This scientific nuance reveals that the truth about planetary motion is more complex than the simplified version traditionally taught.