Abstract
This paper presents a method developed at the Laboratory of Applied Research in Actives Controls, Avionics, and AeroServoElasticity for calculating takeoff and departure trajectories of a Cessna Citation X business aircraft. The method consisted of integrating the aircraft equations of motion for each segment corresponding to a typical takeoff and departure profile. For this purpose, the aircraft trajectory was divided into five segments, including ground acceleration, rotation, transition, climb at constant speed, and climb acceleration. For each segment, detailed and flexible algorithms were developed in order to solve the equations of motion, as well as to trim the aircraft under different environmental and operating conditions. In addition, techniques for modeling piloting procedures and reduced takeoff thrust operations were also presented. The moment equation was also included in the methodology to estimate the elevator deflection or the horizontal stabilizer position required to hold a given pitch attitude. The validation of the methodology was evaluated with a qualified research aircraft flight simulator (RAFS) of the Cessna Citation X for a total of 38 tests. Results showed that the trajectory data predicted by the different algorithms matched the trajectory data obtained from the RAFS with less than 5% of error.
Published Version
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