  We study dynamical evolution of a resonant triple system formed by an inner
EMRI and an additional outer MBH. The relevant resonant state
(\lambda_2-\varpi_1 ~ const) is supported by the relativistic apsidal
precession of the inner EMRI, and, unlike standard mean motion resonances, the
triple system can have a hierarchical orbital configuration (but different from
the Kozai process). In order to analyze this unusual resonant system, we extend
the so-called Hamiltonian approach, and derive a mapping from the EMRI-MBH
triple system to a simple one-dimensional Hamiltonian. With the derived
mapping, we make analytical predictions for characteristic quantities of the
resonance, such as the capture probability, and find that they reasonably agree
with numerical simulations up to moderate eccentricities.
