Impulsive guidance for optimal manifold-based transfers to earth-moon L1 halo orbits

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

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


An impulsive guidance scheme is presented which maintains the spacecraft on the stable manifold of a L1 halo orbit in the Earth-Moon system in the presence of thrust errors in the manifold injection maneuver for a 2-impulse ballistic transfer from LEO to the halo orbit. A Monte Carlo analysis is shown for the unguided case using Gaussian input dispersions in burn magnitude and direction to demonstrate the need of impulsive guidance. Two strategies based on the state transition matrix are presented, one using single burns that only target the manifold, and full burn pairs that target the manifold at t1 and correct velocity errors at t2. Both strategies effectively reduce the halo orbit insertion miss distances; however, the single burn strategy has lower ΔV costs for guidance. Lyapunov Exponents (Les) of the stable manifold are then obtained and used to determine the best locations to perform the TCMs, which also include similar thrust errors in the final simulations.

Original languageEnglish (US)
Title of host publicationAstrodynamics 2013 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the AAS/AIAA Astrodynamics Specialist Conference
PublisherUnivelt Inc.
Number of pages17
ISBN (Print)9780877036050
StatePublished - 2014
Event2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013 - Hilton Head Island, SC, United States
Duration: Aug 11 2013Aug 15 2013

Publication series

NameAdvances in the Astronautical Sciences
ISSN (Print)0065-3438


Other2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013
Country/TerritoryUnited States
CityHilton Head Island, SC

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science


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