Orthogonal projection in a system of three particles

The method of rearrangement of Born series by means of orthogonal projection proposed in an earlier paper is generalized to a system of three particles. It is shown that in this way one can improve the convergence of the iterative series for the Faddeev equation in the general case of three different particles at energies near the lowest two-particle threshold. A sufficient condition for convergence of the rearranged series is formulated.