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高空飞行器被动段运行轨迹精确预测方法研究
引用本文:方兴,孙君亮,卞光浪.高空飞行器被动段运行轨迹精确预测方法研究[J].海洋测绘,2015,35(1):30-33.
作者姓名:方兴  孙君亮  卞光浪
作者单位:91550部队,辽宁大连,116023
基金项目:国家自然科学基金,国家海洋局海底科学重点实验室基金
摘    要:高空飞行器被动段运动学状态方程是典型的非线性常微分方程,难以给出其解析解。为了精确预测飞行器被动段运行轨迹,目前常用的解决方法是给出其数值解。在建立飞行器运动学状态方程基础上,提出采用四阶龙格库塔法求解这一常微分方程组,给出了初值的选取方法。采用仿真试验对提出方法的可行性和有效性进行了验证,结论表明:龙格库塔法可以有效计算出飞行器运动学状态方程数值解,能够高精度地预测出飞行器的运行轨迹。

关 键 词:高空飞行器  被动段运行轨迹  状态方程  龙格库塔法

A Precise Flight Trajectory Predicting Approach forAltitude Vehicle at Unpowered Phaseroach
FANG Xing,SUN Junliang,FANG Jianxun.A Precise Flight Trajectory Predicting Approach forAltitude Vehicle at Unpowered Phaseroach[J].Hydrographic Surveying and Charting,2015,35(1):30-33.
Authors:FANG Xing  SUN Junliang  FANG Jianxun
Institution:91550 Troops,Dalian 116023 ,China
Abstract:The movement state equations of altitude vehicle at unpowered phase is the typical nonlinear constantdifferential equations.To accurately calculate the flight trajectory,the usual method is to calculate the numericalvalue instead of its analytical value.Based on the analysis of forces acting on the flight vehicle,the Runge-Kuttaapproach has been put forward to calculate the equations,and the initial value selected method has also beenpresented.The feasibility and effectiveness of the suggested quality control scheme has been illustrated by thesimulated example.The conclusion shows that the advanced method can predict the flight trajectory accurately.
Keywords:altitude vehicle  unpowered phase flight trajectory  state equation  Runge-Kutta approach
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