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Author to whom correspondence should be addressed The Naval Space Surveillance Center NAVSPASUR uses an analytic satellite motion model based on the Brouwer Lyddane theory to track objects orbiting the Earth In this paper we develop several parallel algorithms based on this model These have been implemented on the INTEL iPSC hypercube multicomputer The speedup and e ciency of these algorithms will be obtained We show that the best of these algorithms achieves e ciency if one uses a node hypercub