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This answer is meant as a supplement to notovny's. I agree with their conclusions (the scenario is impossible because of the instability of this Lagrange point, and the fact that the Hill sphere is...
Answer
#1: Attribution notice removed
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System
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2020-06-01T14:14:00Z (over 4 years ago)
Source: https://worldbuilding.stackexchange.com/a/175902 License name: CC BY-SA 4.0 License URL: https://creativecommons.org/licenses/by-sa/4.0/