自由段弹道扰动引力计算的球谐函数极点变换  

Pole Transformation of Spherical Harmonic Method in Gravity Anomaly Calculation for Unpowered Phase Trajectory

作　　者：郑伟[1] 谢愈[1] 汤国建[1] 

机构地区：[1]国防科技大学航天与材料工程学院,长沙410073

出　　处：《宇航学报》2011年第10期2103-2108,共6页Journal of Astronautics

摘　　要：为提高弹道导弹自由段扰动引力赋值速度,提出了自由段扰动引力计算的球谐函数极点变换一般方法。重点针对轨道动量矩与天球交点为极点及主动段关机点为极点两种情况,推导了考虑侧向偏差和地球旋转修正的扰动引力计算的球谐函数极点变换模型。仿真分析表明:从落点偏差来看,前者扰动引力计算相对误差为1.89%,后者为6.07%,满足诸元和制导精度要求。To improve calculation efficiency of gravity anomaly for unpowered phase trajectory of ballistic missile,this paper proposed a general pole transformation method based on spherical harmonic method is proposed.Considering the lateral error and earth＇s rotation correction,two kinds of pole transformation models are studied respectively.The pole of the first model is the intersection point between moment of momentum and celestial sphere,and the pole of the other model is the cutoff point of powered phase.The results show that the relative calculation error of the former pole transformation method is 1.89% and the latter is 6.07% from the point of view of impact point deviation,which can meet the accuracy requirement in firing data computation and guidance.

关 键 词：扰动引力 球谐函数法 极点变换 弹道导弹 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]