The usual algorithms employed in the design of shaped reflector antennas for satellite applications embed an electromagnetic analysis method in an optimization technique. In general, these algorithms demand considerable computation time, limiting its intensive use in the study to explore different sets of specifications and to search for more compact geometries. In this work, it is considered the particular case of the shaping of circularly symmetric reflectors antennas for the generation of circularly symmetric radiation patterns. The use of the reflector surface properties simplifies the formulation of the electromagnetic scattering and substantially reduces the computer time involved in the optimization iteration. For the electromagnetic scattering, the algorithm employed here considers the approximations given by the Physical Optics and Fringe Currents methods. Firstly, the shaping algorithm was applied in the design of a single reflector antenna to comply with the specifications of the China-Brazil Earth Resources Satellite (CBERS). For this case, the feed radiation pattern was represented by model with azimuthal dependence n=1. As a second case, the shaping algorithm was applied in the design of single and dual reflector omnidirectional antennas. Theses antennas were feed by a TEM coaxial horn with azimuthal dependence n=1. For these two type of antenna configurations, the modelling algorithm was used to maximize the diagram in one direction or to produce radiation patterns with dependence of the type cosecant to the square in the vertical plan. A Methods of Moments electromagnetic analysis was used to validate the scattering fields yielded by the PO+Fringe currents approximations.