Given the 5 Lagrangian points of two large orbiting bodies:
(from wikipedia),
why isn't there a line of stability between L1 and L4 and L1 and L5 respectively (as depicted in red in the modified picture)?:
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3why should there be? – Akerai Sep 21 '19 at 21:29
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3Why isn’t there? Because the math says so. – G. Smith Sep 21 '19 at 21:30
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There are 10 line segments between 5 points. If there were lines of stability (and there are not), why would they be those two? – G. Smith Sep 21 '19 at 21:34
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I think the point is pretty clear now - before asking why something doesn't happen, one should have a reasonable argument as to why they would expect it happen. – Akerai Sep 21 '19 at 21:37
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1Possible duplicates: https://physics.stackexchange.com/q/363178/2451 and links therein. – Qmechanic Sep 21 '19 at 22:07
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Of the links on that page https://physics.stackexchange.com/q/36092/123208 is quite helpful. – PM 2Ring Sep 21 '19 at 22:25