Resonant phenomena in classical dynamics of three-body Coulomb systems

We consider dynamics of a planar three-body Coulomb system similar to a hydrogen molecular ion (heavy-light-heavy particles). The system has three degrees of freedom. In the limit of infinitely heavy nuclei the system is reduced to the famous two-center problem which is integrable. When masses of heavy particles are finite, one degree of freedom in the Hamiltonian system corresponds to slow nuclei motion, while other two degrees of freedom correspond to fast electron motion. The averaging method predicts that actions of "fast" motions of the system with frozen nuclei are approximate integrals of the full system (adiabatic invariants). However, during slow evolution of the "heavy" subsystem certain resonance conditions can be satisfied. We study the phenomena of capture into resonances and scattering on resonances which can lead to destruction of adiabatic invariance in the system.