No abstract

The effect of perturbations in Coriolis and cetrifugal forces on the nonlinear stability of the equilibrium point of the Robe's (1977) restricted circular three-body problem has been studied when the density parameter K is zero. By applying KolmogorovArnold-Moser (KAM) theory, it has been found that the equilibrium point is stable for all mass ratios μ in the range of linear stability 8/9 + (2/3)((43/25) 1 − (10/3) ) < μ < 1, where and 1 are, respectively, the perturbations in Coriolis and centrifugal forces, except for five mass ratios μ 1 = 0

No abstract

No abstract