Abstract
The problem of stability of the Lagrangian equilibrium point of the circular restricted problem of three bodies is investigated in the light of Nekhoroshev-like theory. Looking for stability over a time interval of the order of the estimated age of the universe, we find a physically relevant stability region. An application of the method to the Sun-Jupiter and the Earth-Moon systems is made. Moreover, we try to compare the size of our stability region with that of the region where the Trojan asteroids are actually found; the result in such case is negative, thus leaving open the problem of the stability of these asteroids.
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Celletti, A., Giorgilli, A. On the stability of the lagrangian points in the spatial restricted problem of three bodies. Celestial Mech Dyn Astr 50, 31–58 (1990). https://doi.org/10.1007/BF00048985
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DOI: https://doi.org/10.1007/BF00048985