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Originally Posted by Fish
Well that's the point where the gravitational forces even out with relation to the masses. Planets don't have circular orbits, they're elliptical, and because of that a planet with decent mass compared to it's star can tug the star like the gif image above. The link in that post explains it better than I'm able.
The fact that there is a barrycenter, is how we detect planets in other far away galaxies. We look for that little wobble in the parent star, indicating that a planet is tugging at it.
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Earlier you said that the sun "orbits" the barycenter of the universe. Technically no object has to orbit another. You also can fall into the object or you can escape the orbit as well though not the gravitational force altogether. And since the barycenter of the universe is a mathematical grid/measurement starting point, it is arbitrary to what mass is being included. And can wildly swing as the result. Bary-anything is just an attempt to put a ruler, a grid to deal extend the "algebra" to the situation under investigation.
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Even a superstitious man has certain inalienable rights. He has a right to harbor and indulge his imbecilities as long as he pleases. . . He has a right to argue for them as eloquently as he can, in season and out of season. He has a right to teach them to his children. But certainly he has no right to be protected against the free criticism of those who do not hold them. He has no right to demand that they be treated as sacred. He has no right to preach them without challenge." -H.L. Mencken
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