How stable is the hexagonal rosette anyway?

The Wikipedia article on Klemperer Rosettes states that hexagonal rosettes are slightly more stable than other, non-hexagonal rosettes, due to the position of the orbital objects in the Lagrange points of their neighbors.

My question is this: How stable or unstable is it? That is, given a small push (say, changing the momentum of one of the bodies by 1 in 10⁶ or thereabouts), would the system stay in an equilibrium or fall apart? If it falls apart, how fast will it do so?

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How stable is the hexagonal rosette anyway?

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