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A current-based hybrid formulation is developed for predicting the electromagnetic scattering from conducting bodies of revolution (BOR). The electric field integral equation (EFIE) formulation of the problem is solved by incorporating the Fock solution for the surface currents on the scatterer into the method of moments (MM) solution. To treat oblique illumination, the Fock results are extended to arbitrary surfaces with torsion. The formulation is illustrated for spheres and conespheres with smooth and discontinuous joins. The analysis includes nonspecular phenomena such as creeping wave effects. Application of the physical optics (PO) approximation in this hybrid formulation is discussed. The formulation is shown to be accurate even for scatterers in the near-resonance range (i.e., ).