Optimal transfers with guidance to the earth-moon L1 and L3 libration points using invariant manifolds: A preliminary study

Annie Larsen, William Anthony, Thomas Critz, Morad Nazari, Masoud Deilami, Eric A. Butcher, George Born, Jay MacMahon

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

10 Scopus citations

Abstract

Two optimization methods are presented for designing fuel-optimal impulsive transfers from low earth orbit to the Earth-Moon libration points L1 and L3 using the stable manifolds found in the Circular Restricted Three Body Problem. The two methods used are a grid search and a genetic algorithm. All transfers require one maneuver to leave LEO and a second to transfer onto the stable manifold. The trajectories discussed have total changes in velocity between 3.48 km/s and 3.72 km/s. An LQR based guidance scheme is presented which maintains the spacecraft on the stable manifold in the presence of injection errors in burn magnitude and direction. Monte Carlo analyses are conducted to further demonstrate effectiveness of the guidance scheme. The total ΔV costs to use the guidance scheme average 12.34 m/s and 10.88 m/s for L1 and L3 libration point transfers, respectively, when a thrust magnitude Gaussian dispersion with 1σ = 1% error is combined with in-plane and out-of-plane thrust direction Gaussian dispersions with 1σ = 1 degree error.

Original languageEnglish (US)
Title of host publicationAIAA/AAS Astrodynamics Specialist Conference 2012
DOIs
StatePublished - Dec 1 2012
Externally publishedYes
EventAIAA/AAS Astrodynamics Specialist Conference 2012 - Minneapolis, MN, United States
Duration: Aug 13 2012Aug 16 2012

Publication series

NameAIAA/AAS Astrodynamics Specialist Conference 2012

Other

OtherAIAA/AAS Astrodynamics Specialist Conference 2012
CountryUnited States
CityMinneapolis, MN
Period8/13/128/16/12

ASJC Scopus subject areas

  • Aerospace Engineering
  • Astronomy and Astrophysics

Fingerprint Dive into the research topics of 'Optimal transfers with guidance to the earth-moon L1 and L3 libration points using invariant manifolds: A preliminary study'. Together they form a unique fingerprint.

  • Cite this

    Larsen, A., Anthony, W., Critz, T., Nazari, M., Deilami, M., Butcher, E. A., Born, G., & MacMahon, J. (2012). Optimal transfers with guidance to the earth-moon L1 and L3 libration points using invariant manifolds: A preliminary study. In AIAA/AAS Astrodynamics Specialist Conference 2012 (AIAA/AAS Astrodynamics Specialist Conference 2012). https://doi.org/10.2514/6.2012-4667