An iterative technique is developed for frequency-domain plane wave scattering from electrically large composite bodies. An electric field integral equation (EFIE) formulation is employed in which the submatrices of the moment-method matrix are uncoupled and the current on each geometrically separable region of the composite body is solved independently using a direct method. The currents on the various subcomponents of the body are then recalculated within an outer iterative loop. The technique is applied to the case of a multiwavelength body of revolution (BOR) with two flat-plate attachments. This composite body iterative technique is shown to preserve the simplicity and attractiveness of an isolated BOR while maintaining current continuity across the structure without the use of additional junction currents. This new formulation also allows simple suppression of interior resonance effects normally associated with large closed conducting bodies.