Statistical fuel budgets for impulsive guidance to earth-moon l1 halo orbits

William Anthony, Eric A. Butcher, Jeffrey S. Parker

Research output: Chapter in Book/Report/Conference proceedingConference contribution


An impulsive guidance scheme is introduced to mitigate the effects of thrust magnitude and direction errors for manifold-based transfers from LEO or GEO to an Earth-Moon L1 halo orbit. The trajectory is determined from a genetic algorithm combined with primer vector theory. The timing of the impulsive burns are found by solving for the maximum Lyapunov exponents of the stable manifold. To numerically obtain the required statisti- cal fuel budget for this guidance scheme, Monte Carlo simulations are performed for the guided transfer with Gaussian thrust error dispersions assumed in the orbit departure burn, manifold injection burn and the individual trajectory correction maneuvers (TCMs). The robustness of the guidance scheme is demonstrated by implementing TCMs while travelling along the stable manifold and reducing the resulting miss distance compared to previous results. The resulting TCM _V statistics are compared with the generalized analytical DV99 statistical fuel budget (SFB). The SFB estimate is shown to accurately match the fuel budget range from the Monte Carlo simulations.

Original languageEnglish (US)
Title of host publicationAIAA/AAS Astrodynamics Specialist Conference 2014
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781624103087
StatePublished - 2014
EventAIAA/AAS Astrodynamics Specialist Conference 2014 - San Diego, CA, United States
Duration: Aug 4 2014Aug 7 2014

Publication series

NameAIAA/AAS Astrodynamics Specialist Conference 2014


OtherAIAA/AAS Astrodynamics Specialist Conference 2014
Country/TerritoryUnited States
CitySan Diego, CA

ASJC Scopus subject areas

  • Aerospace Engineering
  • Astronomy and Astrophysics


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