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Question: Could there be a relatively stable near-rectilinear halo orbit (NLHO) associated with the Sun-Earth L1 or L2 points? Would it be similarly stable as the Earth-Moon NLHO proposed for the "gateway"? Or perhaps would the Moon as a fourth body in this 3-body concept screw it up?

One can learn more about these orbits and halo orbit stability in answer(s) to

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