The explanation of this is spectacular btw, only thing i dont like is the nature of the questions because it leaves me wondering what if... so i imagine the 3 most massive thing i can think of and place them in space equal distances apart, lets assume the difference in mass between the three objects vary greatly. imagine we are holding onto the objects and release them all at the same time, one could imagine they all start accelerating to the middle point of the triangle. this is where im stumped, if the medium mass object is massive enough to accelerate the object with least mass but also has little enough mass itself to be accelerated only by the most massive object. the most massive object would then only be accelerating the other two objects. so would the elephant, even if in an infinitely small amount, be accelerating the dog?
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sorry idk if showed the original post i added this too, but it was a whale and a dog free falling on the moon(no atmosphere)
so a hint to the three objects i chose to imagine... if the earth moves within a solar system that is also moving in a galaxy which is moving within a cluster of galaxies, i would assume earth travels the most distance