Abstract: In this paper, Routh's equations for the mechanical systems of the variable mass with nonlinear nonholonomic constraints of arbitrary orders in a noninertial reference system have been deduced not from any variational principles, but from the dynamical equations of Newtonian mechanics.And then again the other forms of equations for nonholonomic systems of variable mass are obtained from Routh’s equations.

Key words: Routh’s equations, variable mass system, nonholonomic constraint, noninertial reference system