The Least Median Square Algorithm and the Spiral Scan Algorithm to Optimize Orbit for Lunar Modules Soft Landing

Aiming at the orbit optimization problem of soft-landing lunar lander, we select the Chang'e III as the research object. To ensure that the detector can accurately predetermine regions for lander to land on the moon softly and safely, and calculate the minimum fuel consumption, we design a landing track and control strategy. We take the fuel-time optimization as the objective function, and transform it into the problem of speed increment minimization problem by simplifying the main deceleration stage with a two-dimensional motion model and fuel-consumption model. In the coarse obstacle-avoiding phase and meticulous obstacle-avoiding phase, we determine the best landing points by using the least median square algorithm and the spiral scan algorithm respectively.