Decreasing the flight costs, therefore flying along the optimal for a trajectory, is a constant preoccupation for all aircraft operators. Moreover, the reduction of fuel consumption and pollutant emissions is a significant factor in the trajectory optimization analysis. The study presented in this article is part of the research conducted at the Laboratoire de recherche en commande active, avionique et aeroservoelasticite (LARCASE), at Ecole de Technologie Superieure, in the field of aircraft trajectory optimization algorithms for Flight Management System platforms, and investigates an optimization algorithm for a leveled cruise flight segment with required time of arrival constraint. The proposed algorithm is deterministic, in accordance with the requirements for avionics equipment.
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