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.
|Titolo:||On the stability of the Lagrangian points in the spatial restricted problem of three bodies|
|Autori interni:||GIORGILLI, ANTONIO (Ultimo)|
|Data di pubblicazione:||mar-1991|
|Digital Object Identifier (DOI):||10.1007/BF00048985|
|Appare nelle tipologie:||01 - Articolo su periodico|