  Long-term evolution of a stellar orbit captured by a massive galactic center
via successive interactions with an accretion disc has been examined. An
analytical solution describing evolution of the stellar orbital parameters
during the initial stage of the capture was found. Our results are applicable
to thin Keplerian discs with an arbitrary radial distribution of density and
rather general prescription for the star-disc interaction. Temporal evolution
is given in the form of quadrature which can be carried out numerically.
