嫦娥三号软着陆轨道的建模分析

Analysison Modeling of Soft Landing Orbit for Chang E-3

嫦娥三号软着陆轨道的设计是月球探测中的一项关键技术。本文首先根据万有引力定律求出嫦娥三号远、近月点的速度;其次,利用离散化的思想,对嫦娥三号的软着陆过程进行建模分析,将连续轨道离散化,根据每个阶段两个端点的状态去确定阶段中各个离散点的状态,进而实现对飞行器软着陆的控制。最后,对模型进行仿真验证和误差分析,发现本模型能较准确地模拟出嫦娥三号的软着陆轨道,具有一定的指导意义。

The design of soft landing orbit for Chang E-3 is one of the key technologies in lunar exploration. In this paper,law of universal gravitation is used to get the velocity of Chang E- 3 at the apocynthion and pericynthion. Then based on discretization ideas,modeling analysis is made on the soft landing process of Chang E- 3 to disperse the continuous orbit,through which the state of each disperse point can be determined according to the status of the endpoints within each stage,so as to control the soft landing of aircrafts.Finally,the simulation and error analysis are done,it is found that the model can simulate the soft landing orbit for Chang E-3 accurately,having certain instructive significance.