  Mean-motion resonances between a Keplerian disc and an orbiting companion are
analysed within a Hamiltonian formulation using complex canonical Poincare
variables, which are ideally suited to the description of eccentricity and
inclination dynamics. Irreversibility is introduced by allowing for dissipation
within the disc. A method is given for determining the rates of change of
eccentricity and inclination variables of the disc and companion associated
with resonances of various orders, including both reversible and irreversible
effects, which extend and generalize previous results. Preliminary applications
to protoplanetary systems and close binary stars are discussed.
