Abstract
In this paper, the optimal landing trajectory from lunar parking orbit to moon surface is generated by pseudo-spectral method, robust Sequential Quadratic Programming(rSQP) method and Non-dimensional motion equation. This research focuses on analyzing the fuel consumption of spacecraft. Therefore, the objective function is defined as minimizing fuel consumption. The pseudo-spectral method is firstly explained and then the equation of motion for spacecraft is defined in polar coordinate system. The equation of motion is derived by point mass model because the space and moon do not have the atmosphere such as air. So, the 6 Degree of freedom (6DOF) is not required to define the equation of motion. The equation of motion is changed to non-dimensional equation of motion to enhance the accuracy of lunar landing trajectory. By generating optimal landing trajectory from lunar parking orbit to moon surface, which use the non-dimensional equation of motion, the required fuel, thrust vector direction and its norm would be checked. It is judged that this research is very useful for developing spacecraft and computing the required fuel mass. Furthermore, the research can be utilized for aircraft and car trajectory generation.
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