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针对固定时间轨道转移的Lambert问题,提出一种航迹角迭代法改进求解策略.通过引入双三次样条插值函数,构造出关于转移时间、位置矢量以及初始航迹角的二维拟合函数;然后利用此构造函数重新定义初始迭代值,用于提高迭代效率.通过假设检验和仿真对比实验,改进的航迹角迭代法与经典方法相比较,具有迭代效率高、运算速度快等优点.
Aiming at the Lambert problem of fixed-time orbit transfer, a modified iterative method of track angle is proposed. By introducing a bicubic spline interpolation function, a two-dimensional fitting function about the transfer time, the position vector and the initial track angle is constructed. Then, the constructor is used to redefine the initial iteration value to improve the iterative efficiency.Through the hypothesis test and simulation contrast experiment, the improved iterative method of track angle has the advantages of high iterative efficiency and fast computing speed compared with the classical method.