[math-fun] stable time-invariant configurations of planets (sci-fi myth); flaw in my argument

I think (?) Meeker in his cryptic message wondering what "stable" means (huh? I thought everybody knew what stable meant) was trying to worry about Lagrange Trojans being stable. Anyway, I claim no Lagrange points are known to be stable (at least in the math I saw) because the math I saw only works for infinitesimal third masses, not finite nonzero masses. Perhaps that answers Meeker. Of course, with very small third masses the instability (if there is any) would have a very long growth time.