An evaluation of Sample Average Approximation applied to the design of impulsive thrust space collision avoidance maneuvers
Résumé
This paper investigates how Sample Average Approximation (SAA) techniques can be applied to chance-constrained optimization problems defined for collision avoidance maneuvers design between an active satellite and a passive space debris. The objective is to compute impulsive evasive maneuvers that minimize the fuel consumption of the active asset and simultaneously maintaining the collision probability below a given threshold. A particular SAA algorithm is then proposed and compared against a direct optimization algorithm using both synthetic and real conjunction data.
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