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

We present a simplified analytic derivation of the capture probabilities for the j+1j and j+2j orbital resonances. We apply Henrard's method which is based on an extension of the theory of adiabatic invariants and recover the results originally obtained by Yoder.Contribution number 3874 from the Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, CA 91125, U.S.A.