SIMPLE GENERALIZATION OF WISDOMS PERTURBATIVE METHOD

A simple generalization of Wisdom's perturbative method, as originally proposed by Wisdom (1985), is obtained. Any number of resonant cosine s can be handled and the method can also accommodate more involved dis turbing functions. Averaged trajectories are easily obtained by drawin g level curves of the action. Here, the method is first tested for sim ple models of 3:1 and 2:1 resonant problems. Comparisons with numerica l integration and surface-section curves show very good agreements.