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The results of designing at an electrodynamics level of the case flat two-port antenna of a circular polarization for satellite communication system in 4/6 GHz band with the sizes 280×130 mm² and with printed emitters (9 for receiving and 18 for transmitting) are presented. The antenna has a dielectric plate with emitters, metal plate with rectangular slots, layer of air strip lines and two face coaxial inputs on the bottom metal plate. The general antenna thickness is 26 mm. The antenna has the –13 dB first sidelobes of a radiation pattern, ellipticity factor K_e ~ 0.8 and VSWR ≤ 1.7. The antenna analysis was made in a time domain without decomposition on the basis of the stream grid technique.