摘要
基于运载火箭大气层外最优轨迹的解析解和级间滑行时间的最优条件,将运载火箭大气层外级间有滑行段的最优轨迹求解问题转化成一个典型的两点边值问题,构造一种不完全多重打靶法对其进行求解。以运载火箭大气层外两级飞行为例,进行仿真验证,仿真结果表明:本文给出的算法对初值不敏感,具有较好的收敛性,能在1 s内获得一条运载火箭大气层外级间有滑行段的最优轨迹。
Based on the analytical solutions of optimal exoatmospheric trajectories for launch vehicles and optimal conditions of coast time between stages, the problem of optimal trajectory for launch vehicle exoatmospheric flight with coast between stages is translated into a typical two-point boundary value problem, and an incomplete multiple shooting method is constructed to solve it in this paper. Then, numerical simulations for launch vehicle exoatmospheric flight with two stages are performed. Simulation results demonstrate that the algorithm proposed is not sensitive to initial values, and it has a good convergence property and can generate an optimal trajectory for launch vehicle exoatmospheric flight with coast between stages within 1 second.
出处
《导弹与航天运载技术》
北大核心
2013年第1期53-57,共5页
Missiles and Space Vehicles
关键词
运载火箭
级间滑行
解析解
多重打靶法
最优轨迹
Launch vehicle
Coast between stages
Analytical solutions
Multiple shooting method
Optimal trajectory
