弹道学报2025，Vol.37Issue(4)：20-29,10.DOI:10.12115/ddxb.2025.07008
弹道式飞行器再入段状态变量的解析预测
Analytical Estimation of State Variables for Reentry Ballistic Vehicle
摘要
Abstract
Ballistic reentry vehicle(BRV)has been widely utilized in modern military conflicts due to its high velocity and difficulty of interception.To improve the analytical prediction accuracy of state variables for BRV and to reveal the intrinsic relationships among these state variables,analytical prediction problem of their state variables was addressed in this paper.Firstly,by applying variable substitution to the reentry dynamics equations,a total differential relation among geocentric radius,flight velocity and flight path angle was derived.Under appropriate assumptions,a new approximate analytical relation between flight velocity and geocentric radius was established.Comparing with the traditional methods of neglecting the gravity effect,the proposed formula features higher accuracy and greater generality.Then,based on the new formula and the fundamental reentry dynamics differential equations,new analytical relations for geocentric radius versus flight time,flight path angle versus geocentric radius,and flight velocity versus flight time were derived using series expansion.The proposed formulas were compared with traditional analytical methods and the fourth-order Runge-Kutta(RK4)numerical method.The results demonstrate that under identical initial reentry conditions,the results obtained from the new analytical formulas are in closer agree with the RK4 numerical solution.Furthermore,the new analytical solutions can also predict the terminal impact velocity and approximate reentry duration of BRV.The results can provide theoretical reference for the preliminary design of BRV and related fields such as aerospace defense.关键词
弹道式飞行器/再入段/地心距/飞行速度/飞行路径角/解析公式Key words
ballistic vehicle/reentry phase/geocentric radius/flight velocity/flight path angle/analytical solutions分类
军事科技引用本文复制引用
戚元杰,张艳,黎静,周嘉颖..弹道式飞行器再入段状态变量的解析预测[J].弹道学报,2025,37(4):20-29,10.基金项目
深圳市孔雀团队项目(No.KQTD20190929172704911) （No.KQTD20190929172704911）
