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自由段弹道扰动引力计算的球谐函数极点变换
引用本文:郑伟,谢愈,汤国建.自由段弹道扰动引力计算的球谐函数极点变换[J].宇航学报,2011(10).
作者姓名:郑伟  谢愈  汤国建
作者单位:国防科技大学航天与材料工程学院;
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。

关 键 词:扰动引力  球谐函数法  极点变换  弹道导弹  

Pole Transformation of Spherical Harmonic Method in Gravity Anomaly Calculation for Unpowered Phase Trajectory
ZHENG Wei,XIE Yu,TANG Guo-jian.Pole Transformation of Spherical Harmonic Method in Gravity Anomaly Calculation for Unpowered Phase Trajectory[J].Journal of Astronautics,2011(10).
Authors:ZHENG Wei  XIE Yu  TANG Guo-jian
Institution:ZHENG Wei,XIE Yu,TANG Guo-jian(College of Aerospace and Materials Engineering,National University of Defense Technology,Changsha 410073,China)
Abstract: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 r...
Keywords:Gravity anomaly  Spherical harmonic method  Pole transformation  Ballistic missile  
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