P. Robutel, STABILITY OF THE PLANETARY 3-BODY PROBLEM .2. KAM THEORY AND EXISTENCE OF QUASI-PERIODIC MOTIONS, Celestial mechanics & dynamical astronomy, 62(3), 1995, pp. 219-261
Using new expansions of the planetary Hamiltonian in Poincare canonica
l elliptic variables, Arnold's theorem for the existence of quasiperio
dic orbits in degenerated cases is applied to the general spatial plan
etary three body problem. The existence of quasiperiodic motion is dem
onstrated for almost all values of the ratio of semi-major axis alpha
in]0, 0.8] and almost all values of the mutual inclination up to about
1 degree. This extends the previous result of Arnold (1963).