It's true that due to the large mass of Jupiter, the barycenter of the solar system lies outside the surface of the sun. However, the barycenter of any sun/pla

It's true that due to the large mass of Jupiter, the barycenter of the solar system lies outside the surface of the sun. However, the barycenter of any sun/planet 2-body system besides Jupiter lies within the sun's surface, so I'm quite comfortable with the claim that at the very least most planets do orbit the sun...