The Reentry Trajectory Optimization for Lifting Vehicle by Using Gauss Pseudospectral Method

  • Yuxing Yang
  • Xiuyun Meng
Part of the Communications in Computer and Information Science book series (CCIS, volume 324)


To obtain the flight trajectory for lifting vehicle after reentry atmosphere, the Gauss pseudospectral method is used to convert the reentry trajectory optimization problem of three-dimension for the vehicle into a nonlinear programming problem. The path constraints include the heat flux peak on stagnation point and maximum dynamic pressure and the terminal constraints include the vehicle’s height and position, and the optimal performance index is the minimum total heat absorption. The angle of attack and bank angle are chosen as control variables. The result of simulation indicates that the GPM is effective to solve trajectory optimization problem, and can satisfy the above optimization index and constraint condition.


lifting vehicle gauss pseudospectral method reentry trajectory nonlinear programming 


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  1. 1.
    Zhao, H.: Reentry dynamics and guidance. National Defense University Press, M. Changsha (1997)Google Scholar
  2. 2.
    Huntington, G.T., Rao, A.V.: Optimal spacecraft formation con-figuration using a Gauss pseudospectral method. In: Proc. of the AAS/AISS Space Flight Mechanics Meeting (2005)Google Scholar
  3. 3.
    Todd, H.G.: Advancement and Analysis of a Gauss Pseudospectral Transcription for Optimal Control Problems. Massachusetts Institute of Technology, Cambridge (2007)Google Scholar
  4. 4.
    Shi, G.: Using the Sequential Quadratic Programming algorithm to solve nonlinear programming problems. Lanzhou University (2009)Google Scholar
  5. 5.
    George, R.: The common aero vehicle: Space delivery system of the future. In: AIAA Space Technology Conference and Exposition, Albuquerque (1999)Google Scholar
  6. 6.
    Yong, E.: Study on Trajectory Optimization and Guidance Approach for Hypersonic Glidereentry Vehicle. National Defense University (2008)Google Scholar
  7. 7.
    Phillips, T.H.: A common aero vehiclemode:l Description and employment guide. Report of Schafer Corporation for AFRL and AFSPC (2003)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Yuxing Yang
    • 1
  • Xiuyun Meng
    • 1
  1. 1.School of Aerospace EngineeringBeijing Institute of TechnologyBeijingChina

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