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This work proposes an adaptation of the Facility Location Problem for theoptimal placement of on-orbit servicing depots for satellite constellations inhigh-altitude orbit. The high-altitude regime, such as Medium Earth Orbit(MEO), is a unique dynamical environment where existing low-thrust propulsionsystems can provide the necessary thrust to conduct plane-change maneuversbetween the various orbital planes of the constellation. As such, on-orbitservicing architectures involving servicer spacecraft that conduct round-tripsbetween servicing depots and the client satellites of the constellation may beconceived. To this end, orbital facility location problem is a binary linearprogram, where the costs of operating and allocating the facility(ies) tosatellites are considered in terms of the sum of Equivalent Mass to Low EarthOrbit (EMLEO), is proposed. The low-thrust transfers between the facilities andthe clients are computed using a parallel implementation of a Lyapunov feedbackcontroller. The total launch cost of the depot along with its servicers,propellant, and payload are taken into account as the cost to establish a givendepot. The proposed approach is applied to designing on-orbit servicing depotsfor the Galileo and the GPS constellations.

Orbital Facility Location Problem for Satellite Constellation Servicing Depots