WGS-84坐标系下飞机航迹与姿态仿真研究

Research on Simulation of Aircraft's Trajectory and Attitude in WGS-84 Coordinate System

针对大部分文献的航迹仿真方法基于本地直角坐标系,以及将飞机视作点目标,未考虑其姿态的问题,提出了WGS-84(world geodetic system-84)坐标系下飞机航迹与姿态仿真方法。基于复杂航迹可由较为简单的航迹段组合的思想,推导了分段匀速直线对等海拔高度长航时圆弧航迹进行近似,以及在空间某一平面内匀速转弯航迹的一系列相关公式,并导出了飞机姿态由其速度估计的数学表达式。实现了WGS-84坐标系下飞机的长航时航迹与跑道形、"8"字形等典型航迹以及姿态的仿真。结果表明,该方法可逼真模拟飞机的航迹与姿态。

Aiming to these problems that the trajectory＇s simulation method of the majority of documents were based on local Cartesian coordinates and the aircraft was treated as point target, not considering its attitude, a simulation method of aircraft＇s trajectory and attitude in WGS-84 （world geodetic system-84） coordinate system was proposed. Based on the thought that a complicated trajectory could be composited of simple track segments, a series of relative formulas of the piecewise constant velocity rectilinear approximation to long endurance arc trajectory in equal altitude layer and coordinated turn motion on a plane in 3D （3 dimensiona0 space were derived. In addition, the mathematical expressions of aircraft＇s attitude estimated by its velocity were derived. The simulation of the typical trajectories in WGS-84 such as long endurance trajectory, race-shaped and 8-shaped trajectory and corresponding attitude was realized. The results show the method can realistically simulate aircraft＇s trajectory and attitude.