Abstract This is the first chapter of a monograph on optimal Satellite Range Scheduling, defined as the problem of allocating communication intervals between satellites and ground stations. This problem has been studied for decades, but only suboptimal solutions to it had been discovered. The optimal solution to the problem has been found by the authors. The authors also provide a list of the contributions introduced in this monograph compared to previous publications, which include several generalizations to more complicated scenarios, optimal solutions for these variants, and the characterization of the relations among the presented problems. (This research was performed while the author held a National Research Council Research Associateship Award at the Air Force Research Laboratory (AFRL).)


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