| Citation: | WANG C，LIU W，GAO Y. Three convexification-based methods for six-degree-of-freedom powered descent guidance[J]. Journal of Beijing University of Aeronautics and Astronautics，2025，51（4）：1292-1303 （in Chinese） doi: 10.13700/j.bh.1001-5965.2023.0235
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A key technology for the safe landing of spacecraft in powered descent is to solve the six degrees of freedom(6-DoF) powered descent guidance problem in real time. This problem is a fuel-optimal problem with multiple constraints. In this paper, three optimization methods are established by three independent variables, namely flight time, time substitution variable, and height. Three onboard navigation techniques are created by transforming the trajectory optimization issue into a form that can be solved by successive convexification algorithms. The comparative analysis shows that all three methods can solve the 6-DoF powered descent problem. Although the flight time must be known beforehand, the optimization with flight time as an independent variable has the maximum computing efficiency and the lowest fuel use. The other two optimizations can optimize the flight time, but both are sub-optimal solutions, and the computation time is greatly increased. The accuracy of the three methods is similar under the same number of discrete points. If successive convexification algorithms are used as the online guidance algorithms for power descent, problems such as how to determine the optimal flight time, approach the optimal fuel solution and shorten the calculation time still need to be further studied.
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