A simple derivation of capture probabilities for the J + 1 : J and J + 2 : J orbit-orbit resonance problems

Henrad's (1982) method, which is based on an extension of the theory of adiabatic invariants, is presently applied to a simplified analytic derivation of the capture probabilities for the j + 1 : j and j + 2 : j orbital resonances. The results originally obtained by Yoder (1979) are thereby recovered.