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So the scenario I envision to represent this would be two meteors on opposites sides of a planet heading directly towards the planet. How would the shell theorem play into the two meteors gravitational pulls towards each other?

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    $\begingroup$ The shell theorem assumes spherical symmetry. This scenario is not spherically symmetric. $\endgroup$ – Dan Yand Jan 19 at 17:39
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Newtonian gravity is additive, so the planet has nothing to do with the gravitational forces that the two meteors exert on each other.

If the planet has a spherically-symmetric mass distribution, then its gravitational pull on each meteor is the same as if its mass were concentrated in a point at its center.

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