Representability of solutions of three-body problems by conditionally periodic functions. II

The values of the perturbation function and its derivatives obtained by Sokolov and Kholshevnikov (1980) for an averaging canonical transformation of the equations describing the planar circular restricted three-body problem are estimated. Expressions for the maximum absolute values of the initial perturbation function and its derivatives which characterize the averaging efficiency for different initial values and perturbing masses are derived for the case of the problem involving the sun, Jupiter and an outer planet, and evaluated for planets in the regions of Neptune and Saturn. Constraints on the choice of the initial regions of the outer planets are indicated, and old and new values of the perturbing function for Neptune are indicated as a function of the perturbing mass.