Lambert 问题的改进算法

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.

Modified algorithm for Lambert’s problem

A modified algorithm based upon the Nelson-Zarchan’s method is presented for the Lambert’s problem of the fixed-time transfer orbital. A nonlinearity approximation function is set up with the bicubic spline interpolation function, which includes the flight time for transferring, initial and final position vectors and the flight path angle. Then the approximation function provides a new way to initialize the value of the flight path angle, so as to speed up the calculate process. With the hypothesis testing and simulation comparison, it is shown that the modified flight path angle algorithm has competitive and better calculating speed.