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.

本文介绍了一种由主动控制，航空电子和AeroServoElasticity应用研究实验室开发的方法，用于计算Cessna Citation X公务机的起飞和离开轨迹。该方法包括对对应于典型起飞和离场轮廓的每个航段的飞机运动方程进行积分。为此，飞机的轨迹分为五个部分，包括地面加速度，旋转，过渡，匀速爬升和爬升加速度。针对每个部分，开发了详细而灵活的算法，以求解运动方程，并在不同的环境和运行条件下对飞机进行修剪。此外，还介绍了用于模拟驾驶程序和减少起飞推力操作的技术。该方法中还包括力矩方程式，以估算保持给定俯仰姿态所需的电梯挠度或水平稳定器位置。使用合格的塞斯纳Citation X研究飞机飞行模拟器（RAFS）评估了该方法的有效性，共进行了38项测试。结果表明，通过不同算法预测的轨迹数据与从RAFS获得的轨迹数据匹配，误差小于5％。