双欧法在克服伞-弹系统欧拉方程奇异性中的应用  

The Application of the Dual-euler Method for Overcoming the Singularity of Euler Equation in Parachute-Missile System

作　　者：周伟[1] 张晓今[1] 寇保华[1] 秦子增[1] 

机构地区：[1]国防科技大学航天与材料学院,长沙410073

出　　处：《航天返回与遥感》2003年第3期4-8,共5页Spacecraft Recovery & Remote Sensing

摘　　要：文章针对伞弹系统欧拉方程奇异性 ,利用正、反欧拉方程精华区、奇异区呈倒挂的原理 ,建立了一套与飞机不同的反欧拉系统。将这套双欧系统应用在克服伞 -弹系统欧拉方程奇异性中 ,取得了满意的结果。同时对双欧法与四元数法计算结果进行了对比验证 ,从而更加清楚地看到了四元数法的方法缺陷和不足 ,为进一步能将双欧法应用于伞Making use of the inverse relationship between the ordinary and the reversed Euler equations and thinking of the singularity of Euler equation in parachute-missile system,this paper given a set of reversed Euler equations that different from the plane's.It gets a satisfying result,after using the dual-Euler method in overcoming the singularity of Euler equation in parachute-missle system.Meanwhile, compare the calculated result of dual-Euler method with the quaternion method,it is clear to see the shortage of quaternion method,and it has a good try in the simulation of six dimesion trajectory equation using the dual-Euler method.

关 键 词：伞-弹系统 欧拉方程 奇异性 双欧法 空对地弹药 四元数法 飞行动力学 

分 类 号：V412[航空宇航科学与技术—航空宇航推进理论与工程]