@inproceedings{f241731fa2284743b50b16c63a38ce26,
title = "Optimal transfers with guidance to the earth-moon L1 and L3 libration points using invariant manifolds: A preliminary study",
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.",
author = "Annie Larsen and William Anthony and Thomas Critz and Morad Nazari and Masoud Deilami and Butcher, {Eric A.} and George Born and Jay MacMahon",
note = "Funding Information: The authors would like to gratefully acknowledge the Department of Defense and the Air Force Office of Scientific Research (AFOSR) who funded this research through Grant W911NF-11-1-0195.; AIAA/AAS Astrodynamics Specialist Conference 2012 ; Conference date: 13-08-2012 Through 16-08-2012",
year = "2012",
doi = "10.2514/6.2012-4667",
language = "English (US)",
isbn = "9781624101823",
series = "AIAA/AAS Astrodynamics Specialist Conference 2012",
booktitle = "AIAA/AAS Astrodynamics Specialist Conference 2012",
}