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xkcd #2898: Orbital Argument
(imgs.xkcd.com)
Alt text:
"Some people say light is waves, and some say it's particles, so I bet light is some in-between thing that's both wave and particle depending on how you look at it. Am I right?" "YES, BUT YOU SHOULDN'T BE!"
The Earth–Moon–Sun three body problem is apparently something that has been studied quite a bit in physics.
And of cause there are 3 camps and alot of disagreements but essentially, the majority of scientists argue, like me, that it is the moon which is the center. You can always cite some fringe scientists arguing otherwise, that doesn't change the general consensus.
you are the barycenter of your own opinion
I'm not sure about that but for sure I am the center of my personal narrow Overton Window