Volume 40 Issue 4
Jul.  2020
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SUN Zhiyuan, LIU Zhiyong, ZHANG Peng. Mars Entry Trajectory Quick Optimization Method for Lifting Vehicle Based on Adaptive GPM[J]. Chinese Journal of Space Science, 2020, 40(4): 547-553. doi: 10.11728/cjss2020.04.547
Citation: SUN Zhiyuan, LIU Zhiyong, ZHANG Peng. Mars Entry Trajectory Quick Optimization Method for Lifting Vehicle Based on Adaptive GPM[J]. Chinese Journal of Space Science, 2020, 40(4): 547-553. doi: 10.11728/cjss2020.04.547

Mars Entry Trajectory Quick Optimization Method for Lifting Vehicle Based on Adaptive GPM

doi: 10.11728/cjss2020.04.547 cstr: 32142.14.cjss2020.04.547
  • Received Date: 2019-04-26
  • Rev Recd Date: 2019-12-06
  • Publish Date: 2020-07-15
  • A new method is given based on adaptive Gauss pseudospectral method for quick trajectory optimization problem of Mars entry. This method converts the trajectory optimization problem to a non-linear programming problem, taking into account for the dynamic constrains, the boundary constrains, the path constrains and the control constrains during the Mars entry of the lifting vehicle. And then, sequential quadratic programming is adapted to solve the non-linear programming problem, and the optimal fuel-consuming trajectory is obtained. In combination with the adaptive Gauss pseudospectral method and sequential quadratic programming in Matlab software, the numerical results of the optimal trajectory with 267 collocations could be obtained in 800s with an approximation accuracy of 10-6. The numerical results are smooth and meet all constrains during the Mars entry process, which suggests that the method introduced in this paper is available and of great practical application.

     

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