Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..50...31c&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 50, Issue 1, pp.31-58
Astronomy and Astrophysics
Astronomy
2
Three Body Problem, Lagrangian Points, Nonlinear Stability
Scientific paper
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.
Celletti Alessandra
Giorgilli Antonio
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