Abstract
This paper addresses the problem of obtaining continuous satellite line-of-sight coverage of every point in either the northern hemisphere or on the entire Earth's surface with the minimum number of satellites. Geometric theorems and corollaries relating to coverage are presented. A three-satellite elliptic-orbit constellation covering the entire northern hemisphere is described. Also, a four-satellite constellation giving continuous global coverage is defined. An extensive search has uncovered no other three-satellite continuous hemispheric or four-satellite continuous global coverage constellations.
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