On the stability of the Trojan asteroids
by Antonio Giorgilli and Charalambos Skokos

Abstract: We reconsider the problem of stability of the triangular Lagrangian equilibria of the restricted problem of three bodies. We consider in particular the Sun--Jupiter model and the Trojan asteroids in the neighbourhood of the point $L_4$. In the spirit of Nekhoroshev's theory on stability over exponentially large times, we are able to prove that stability over the age of the universe is guaranteed on a region big enough to include a few known asteroids. This significantly improves previous works on the same subject.

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