this post was submitted on 02 Nov 2023
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There is gravitational pull, from both the Earth and the Sun. The JWST is orbiting the "earth-sun system" if you will.
You can read more about Lagrange points here.
So they solved the Three Body Problem?
It's not really a three body problem. For that, the gravity of the JWST would have to affect the other two bodies, but its gravity is negligible.