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This technical note discusses some of the more prominent features of an Applebaum-Howells type adaptive nulling algorithm when used in conjunction with a multiple-beam antenna operating over the earth field of view at synchronous altitude. A brief discussion of some of the basic properties of the multiple-beam antenna configuration used in the study is presented, following which some of the characteristics of the conventional LMS power minimization algorithm, such as the Applebaum-Howells type,doi:10.1109/tap.1978.1141821 fatcat:pahrfh2oz5fhbhn7vat47qhhye