The way in which the evaluation of any moment of the mass distribution, as given by the Zeldovich (1970) approximation, may be reduced to the computation of an integral is shown. A method for obtaining a two-point correlation function from the product of the density fluctuation and the Lagrangian coordinate is presented. Local approximations that, unlike the Zeldovich one, allow for the nonlinear evolution an ellipsoid's axes are considered. It is inferred that the use of nonlinear local approximations could lead to a substantial improvement with respect to the Zeldovich one in the prediction of those features of the mass distribution related to regions with high density contrast, e.g., cluster densities.