  We extend and systematise the power counting for the three-body system, in
the context of the ``pion-less'' Effective Field Theory approach, to all orders
in the low-energy expansion. We show that a sub-leading part of the three-body
force appears at the third order and delineate how the expansion proceeds at
higher orders. After discussing the renormalisation issues in a simple bosonic
model, we compute the phase shifts for neutron-deuteron scattering in the
doublet S wave (triton) channel and compare our results with phase shift
analysis and potential model calculations.
