Is the Solar System's Barycenter Inside or Outside the Sun?
I understand how barycenters work in relation to the difference of mass between two orbiting objects; for example, the Sun-Jupiter system's center of mass lies outside of the Sun because the mass difference is smaller than that of the Sun-Earth system, which is a lot larger and thus its center of mass lies inside the Sun.
But what about the Solar System overall? My understanding is that, since the Sun-Jupiter system is the only one with the a non-negligible mass difference, then the Solar System's center of mass is outside of the Sun's sphere. Do I have this right?
“Of all the sciences cultivated by mankind, Astronomy is acknowledged to be, and undoubtedly is, the most sublime, the most interesting, and the most useful. For, by knowledge derived from this science, not only the bulk of the Earth is discovered, but our very faculties are enlarged with the grandeur of the ideas it conveys, our minds exalted above their low contracted prejudices.” - James Ferguson