I’m no astronomical guru, but I’m surprised I didn’t know this.
No one objects orbits another. There are no stable orbits since there are no examples of two perfect point masses in an isolated space.
how much wobble does the earth add to sun? over 1m?
I really want a space station in the barycenter of Pluto or something. It would be as close to true neutral of gravity instead of the gravity negated by acceleration of mass that may or may not screw up gravity experiments
Except there are all the other planets swinging in the way, with their own gravitational influence.
I think what you're looking for is a Lagrange point, specifically L1, where the gravitational pull from both bodies are equal, so they cancel out
Your mom....
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