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四元数在战斗机飞行仿真中的应用
引用本文:许佩珍,董长虹.四元数在战斗机飞行仿真中的应用[J].北京航空航天大学学报,1997,23(4):487-491.
作者姓名:许佩珍  董长虹
作者单位:北京航空航天大学自动控制系
摘    要:阐述了在战斗机的飞行仿真中采用四元数的原因和四元数的几何意义,并按照中国战斗机飞行仿真中采用的坐标系,介绍了三个问题,四元数运动学方程;四凶数与坐标变换矩阵的关系;用四元数表示的欧拉角;与此同时给出了一组数字仿真曲线,最后讨论了四元数法优于欧拉法之处。

关 键 词:仿真  机动飞行  歼击机  四元数  数字仿真

APPLICATION OF QUATERNION IN FIGHTER AIRCRAFT FLIGHT SIMULATION
Xu Peizhen\ \ Dong Changhong.APPLICATION OF QUATERNION IN FIGHTER AIRCRAFT FLIGHT SIMULATION[J].Journal of Beijing University of Aeronautics and Astronautics,1997,23(4):487-491.
Authors:Xu Peizhen\ \ Dong Changhong
Abstract:The reason why quaternion is used in flight simulation of fighter aircraft and the geometric meaning of quaternion are described,according to axis system used in flight simulation of fighter aircraft in China,three problems are introduced as follows:(1) quaternion kinematic equations,(2) relationship of quaternion and coordinate transformation matrix,(3) Euler angles in terms of quaternion.In the meantime a set of digital simulation curves are given.Finally the advantages of quaternion method over Euler method are discussed.
Keywords:simulation  maneuvering flight  fighter  quaternion  Euler angles  digital simulation
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