the three body problem being one of my favorite scifi until it was kinda solved a couple years ago
xkcd
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All is relative. All are right. Or wrong. We are orbiting galactic center.
Surly the sun is big wnough that the point actually being orbited is still within the sun?
For our solar system: mostly. But if we lived in a binary star system, the distinction would be much more obvious.
yes, the earth-sun barycenter is still well within the sun.
not sure why other commenters felt the need to give snark lol
Fallacy fallacy taken to its logical conclusion.
Is the common ground the fact both rotate around the super massive blackhole at the center of our galaxy?
No, they orbit around a common barycenter. Even if there were no other bodies in the solar system, that wouldn't be exactly at the center of mass of the sun.