地月转移轨道的Vinti多圆锥截线轨道预报方法

采用解析法近似、快速地预报地月转移轨道,对月球探测器的任务分析和轨道设计具有重要意义。已有的近似解析算法未考虑地球扁率影响,造成误差扩散,影响预报精度。本文给出一种新的快速准确预报地月转移轨道的解析算法,采用Vinti法对地月转移轨道的近地段进行扁率修正,采用多圆锥截线法预报地月转移轨道;讨论了算法中扁率修正时间长度和多圆锥截线变步长策略的选取,比较了多种典型地月转移轨道的预报方法精度与速度。与精确数值积分方法相比,新解析算法的计算速度快3个数量级,并且近月点位置的预报误差小于100km。

Vinti Multi-conic Prediction Method for the Earth-Moon Transfer Trajectories

Approximate analytical method is important for the mission analysis and transfer trajectory design of a lunar probe. Conventional approximate method involves large errors by the ignoring the earth oblateness effect. This paper proposes a novel accurate analytical prediction method for Earth-Moon ransfer trajectories, which combines the Vinti's method and the multi-step conic patched method. The duration for oblateness correction in Vinti method and the strategy of variable time step selection in the multi-step conic patched method are discussed. The accuracy and speed of various Earth-Moon transfer trajectories prediction methods are compared. The numerical results show that the proposed method makes the calculation faster by three orders of magnitude and the error of the position of perilune less than 100 km as compared with the accurate numerical integration method.