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I don't know much about Lagrange points specifically, but it sounds like this one is an "unstable equilibrium". Even if you could park on exactly the right point, any tiny force (changing gravitational pull of other planets, dust impact, even light pressure from the sun eventually) would nudge you off of it and you would start accelerating away from it.

L1-3 are unstable, L4 and L5 are not.

https://en.wikipedia.org/wiki/Lagrange_point#Point_stability

L4 and L5 are stable (see Jupiter's asteroid collection), but the others involve essentially trying to balance on a infinitesimal pinpoint, with any perturbation causing one to "fall off" and move away.

Yeah the stable point is a literal geometric point. And there's a whole solar system's worth of little gravitational disturbances going on.