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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 the Chang’e III soft landing orbit is a key technique in lunar exploration. Firstly, according to the law of universal gravitation, we get the speed of Chang’e-3 near and far points. Secondly, using the idea of discretization, we model the soft landing process of Chang’e-3, discretize the continuous orbit, A state of the end points to determine the status of each discrete point in the stage, and thus achieve the control of the aircraft soft landing. Finally, the model is verified by simulation and error analysis. It is found that this model can simulate the soft landing trajectory of Chang’e III more accurately, which is of guiding significance.