Abstract: The 1977 World Administrative Radio Conference for the Planning of the Broadcasting-Satellite Service decided that elliptical antenna beams should be used for satellite antennas for planning purposes. Since it is desirable to minimize the antenna beam solid angle, we have developed a method for determining the minimum elliptical beam of a satellite antenna. The method is based on a straightforward and exhaustive search for a minimum elliptical beam over all possible ranges of all necessary parameters that specify the elliptical beam. Although it may sound contrary, this method is more efficient than an existing method based on the advanced technique of nonlinear programming. This report describes the method and the computer program that implements the method. It also gives some examples.
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