Lagrange points $L_4$ and $L_5$ are stable for a test particle. But what happens if instead the body at $L_4$/$L_5$ (let's call it C) has a mass significant enough that its gravitational pull on the other two (let's call them A and B) is not negligible anymore? It is rather well know that a ternary system with similar masses is not stable, unless it is strongly hierarchical, i.e. two of the bodies form a close binary system, and the third one orbits much farther away. All observed ternary system are such. But what would be the mass threshold of C beyond which $L_4$/$L_5$ would not be stable anymore?
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