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This paper deals with the fuel optimal control for the powered descending phase of a lunar module. Firstly, in the target coordinate frame, a 3-dimensional precise kinetic model is formulated. Secondly, the fuel optimal control problem for the powered descending phase is transformed into a standard constrained optimal control problem. By using a computational method and a time scaling transform technique,...
To achieve the minimal fuel consumption, the Pontryagin maximum principle is utilized to generate an optimal guidance law for the whole process of the lunar probe's soft landing which starts off from the perilune. It is shown that the singularity condition for the optimal lunar soft landing process doesn't influence the fuel consumption.
To achieve the minimal fuel consumption, the Pontryagin maximum principle is utilized to generate an optimal guidance law for the whole process of the lunar probe's soft landing which starts off from the perilune. It is shown that the singularity condition can not hold along an optimal trajectory on any closed time interval
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