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Two-Dimensional Trajectory Optimization for Soft Lunar Landing Considering a Landing Site

  • Park, Bong-Gyun (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology) ;
  • Ahn, Jong-Sun (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology) ;
  • Tahk, Min-Jea (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology)
  • Received : 2010.03.27
  • Accepted : 2011.09.16
  • Published : 2011.09.30

Abstract

This paper addresses minimum-fuel, two-dimensional trajectory optimization for a soft lunar landing from a parking orbit to a desired landing site. The landing site is usually not considered when performing trajectory optimization so that the landing problem can be handled. However, for precise trajectories for landing at a desired site to be designed, the landing site has to be considered as the terminal constraint. To convert the trajectory optimization problem into a parameter optimization problem, a pseudospectral method was used, and C code for feasible sequential quadratic programming was used as a numerical solver. To check the reliability of the results obtained, a feasibility check was performed.

Acknowledgement

Supported by : Korea Science and Engineering Foundation

References

  1. Bennett, F. V. and Price, T. G. (1964). Study of Powered-Descent Trajectories for Manned Lunar Landings [NASA Technical Note D-2426]. Washington, DC: National Aeronautics and Space Administration.
  2. Betts, J. T. (1998). Survey of numerical methods for trajectory optimization. Journal of Guidance, Control, and Dynamics, 21, 193-207. https://doi.org/10.2514/2.4231
  3. Fahroo, F. and Ross, I. M. (2001). Costate estimation by a Legendre pseudospectral method. Journal of Guidance, Control, and Dynamics, 24, 270-277. https://doi.org/10.2514/2.4709
  4. Hawkins, A. M. (2005). Constrained Trajectory Optimization of a Soft Lunar Landing from a Parking Orbit. MS Thesis, Massachusetts Institute of Technology.
  5. Josselyn, S. and Ross, I. M. (2003). Rapid verification method for the trajectory optimization of reentry vehicles. Journal of Guidance, Control, and Dynamics, 26, 505-508. https://doi.org/10.2514/2.5074
  6. Lawrence, C., Zhou, J. L., and Tits, A. L. (1997). User's Guide for CFSQP Version 2.5: A C Code for Solving (Large Scale) Constrained Nonlinear (Minimax) Optimization Problems, Generating Iterates Satisfying All Inequality Constraints [Technical report TR-94-16r1]. College Park, MD: University of Maryland.
  7. Ramanan, R. V. and Lal, M. (2005). Analysis of optimal strategies for soft landing on the moon from lunar parking orbits. Journal of Earth System Science, 114, 807-813. https://doi.org/10.1007/BF02715967
  8. Ross, I. M. and Fahroo, F. (2004). Pseudospectral knotting methods for solving optimal control problems. Journal of Guidance, Control, and Dynamics, 27, 397-405. https://doi.org/10.2514/1.3426
  9. Tu, L., Yuan, J., Luo, J., Ning, X., and Zhou, R. (2007). Lunar soft landing rapid trajectory optimization using direct collocation method and nonlinear programming. Proceedings of the 2nd International Conference on Space Information Technology, Wuhan, China.

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