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It seems like there should be, and if so I wonder how large an area it is, if it changes size over time, and if it moves or wobbles in some way. On the latst point, I imagine it would certainly wobble if the Moon didn't rotate around the axis defined by it's center and L2, but maybe there are more complicated reasons such as non-uniform mass distribution, the Earth's influence, etc.

I'm not asking for a specific solution, please don't work that hard! I am looking for insight onto the factors involved, and nuances based on these factors.

Thank you! Nick

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    $\begingroup$ It wobbles. See libration. $\endgroup$
    – doubleunary
    Commented Dec 13, 2023 at 9:26
  • $\begingroup$ Thank you @doubleunary! $\endgroup$
    – Nick Codignotto
    Commented Dec 14, 2023 at 1:44
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    $\begingroup$ and of course "the L2 point" has no proper meaning at all for the Earth-Moon system to begin with; 1) the Moon's orbit is inclined with respect to Earth's orbital plane, so it's not a 2D problem, and 2) the Moon's orbit is elliptical, meaning that math relating to the circular restricted there body problem doesn't apply, even if they were coplanar. Both of these contribute to "it wobbles" if we were to invent an L2 point. But the notion of Lagrange points are nonetheless helpful when talking or thinking about realistic trajectories around the moon as a sort-of first order approximation. $\endgroup$
    – uhoh
    Commented Dec 14, 2023 at 22:11
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    $\begingroup$ Lagrange points are only mathematically defined in the first place for the circular restricted three-body problem $\endgroup$
    – uhoh
    Commented Dec 14, 2023 at 22:14
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    $\begingroup$ So much to learn, thank you @uhoh $\endgroup$
    – Nick Codignotto
    Commented Dec 19, 2023 at 1:10

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