In [1] the validity of the linear method of aerodynamic equivalence (AE) was demonstrated and the results of calculating the aerodynamic characteristics (ADC) of certain asymmetric (nonaxisymmetric) bodies, differing only slightly from the axisymmetric, were presented. In this paper a nonlinear AE method is proposed. This method is based on the principle of the equivalence of two bodies, one of which has a cross section of arbitrary shape while the other has a cross section described by a smooth function. This function is the sun of the first N + 1 terms of the Fourier series of the initial (discontinuous) function describing the shape of the body. The effectiveness of the AE method is illustrated with reference to certain examples of star-shaped bodies. The accuracy of the results obtained is estimated and a comparison is made with the experimental data. It is also shown that the AE method makes it possible to give a simple explanation of certain results of aerodynamics from a new standpoint.