【摘要】 针对理想二体条件下求解的兰伯特初制导脉冲因轨道摄动导致实际终端出现较大偏差、难以实现初末制导平稳交接的问题，开展了一种基于动态修正因子的迭代修正算法研究。首先，利用普适变量法求解二体兰伯特问题，分析了不同空间摄动因素对初制导精度的影响，建立了J2摄动下的拦截器动力学模型；随后，提出了基于动态修正因子的迭代修正算法，通过在传统打靶法中引入自适应调整的修正因子，补偿J2摄动对初制导的影响，并阐述了该算法的流程及设计原则；然后，基于所提算法以燃耗—拦截时间综合指标最优为目标，确定了最优初制导脉冲；最后，通过STK/HPOP模块验证了算法的正确性，并与微分修正算法和状态空间摄动法进行性能对比，所提算法在终端偏差、计算效率及燃耗最优性方面均表现更优，收敛成功率更高，算法具备随误差大小非线性变化的增益策略，实现了全局收敛速度与局部收敛精度的自适应平衡，能够保障初末制导的可靠交接。更多还原

【Abstract】 A study was conducted on an iterative correction algorithm based on dynamic correction factors to address the problem of significant deviations in the actual terminal due to orbital perturbations when solving Lambert initial guidance pulses under ideal the two-body conditions, a discrepancy that hinders the smooth handover between the initial and final guidance phases. Firstly, the universal variable method was used to solve the two-body Lambert problem, and the influence of different spatial perturbation factors on the initial guidance accuracy was analyzed. Then, a dynamic model of the interceptor under J2 perturbation was established. Subsequently, an iterative correction algorithm based on dynamic correction factors was proposed. By introducing an adaptive correction factor into the traditional shooting method, the adverse influence of J2 perturbation on initial guidance was compensated for, and the process and design principles of the algorithm were explained. After wards, based on the proposed algorithm, the optimal initial guidance pulse was determined with the goal of optimizing the comprehensive index of fuel consumption interception time. Finally, the correctness of the algorithm was verified through the STK/HPOP module, and its performance was compared with the differential correction algorithm and the state space perturbation method. The proposed algorithm performs better in terms of terminal deviation, computational efficiency, and fuel consumption optimality, with a higher convergence success rate. The algorithm has a gain strategy that varies nonlinearly with the error size, achieving an adaptive balance between global convergence speed and local convergence accuracy, and ensuring reliable handover of between initial and final guidance.更多还原