On-Orbit Range Set Applications

Statistics – Computation

Scientific paper

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Scientific paper

History and methodology of ∆v range set computation is briefly reviewed, followed by a short summary of the ∆v optimal spacecraft servicing problem literature. Service vehicle placement is approached from a ∆v range set viewpoint, providing a framework under which the analysis becomes quite geometric and intuitive. The optimal servicing tour design problem is shown to be a specific instantiation of the metric- Traveling Salesman Problem (TSP), which in general is an NP-hard problem. The ∆v-TSP is argued to be quite similar to the Euclidean-TSP, for which approximate optimal solutions may be found in polynomial time. Applications of range sets are demonstrated using analytical and simulation results.

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