单脉冲最省能量拦截轨道迭代算法

摘要

最优拦截轨道解算是航天器在轨拦截问题中的重要内容，是天基武器研发中需要解决的核心技术难题之一。由于轨道解算方程和拦截方程是隐式非线性方程，因此很难用解析的方法进行分析和计算。针对非固定拦截点条件下的拦截轨道优化问题，分析讨论了拦截轨道参数和拦截器变轨点特征速度随拦截时间和拦截真近点角的变化规律。在此基础上，研究了由拦截轨道的真近点角反向求解拦截初始参数问题，并设计了能量最省拦截轨道的快速迭代算法。最后通过仿真，验证了算法的可行性和快速性。%Optimal interception orbit calculation is important content of spacecraft on-orbit interception question,and is one of the core technical problems of space-based weapons development.It’s difficult to analyti-cally analyze and calculate because of the nonlinearity and implicitness of orbit calculation equations and inter-ception equations.Aiming at interception trajectory optimization problem with no-constant interception point, the law of interception trajectory parameter and characteristic velocity in transfer point changing with intercep-tion time and interception true anomaly is summed up.On this basis,the calculation of the initial interception parameters from interception orbit true anomaly has been researched and rapid iterative algorithm for minimum-energy interception trajectory has been designed.Finally,practicability and rapidity of the algorithm is verified by simulation.