@inproceedings{f276c74ed94646be8158e3eb790c5a22,

title = "The Earth-Moon low-energy transfer in the 4-body problem",

abstract = "A low energy transfer from the Earth to the Moon is proposed in the context of the 4-body Problem. We propose a new model by regarding the Sun-Earth-Moon-Spacecraft (S/C) 4-body system as the coupled system of the Sun-perturbed 3-body system and the Moon-perturbed 3-body system. In particular, we clarify the tube structures of invariant manifolds of the 4-body Problem by investigating the Lagrangian coherent structures of such a coupled 3-body system with perturbations. Lastly, we construct a low-energy transfer trajectory from the Earth to the Moon by patching two trajectories obtained from the perturbed systems at a Poincare section. We develop an optimal trajectory by minimizing the Delta-v at the Poincar{\'e} section.",

author = "Kaori Onozaki and Hiroaki Yoshimura and Ross, {Shane D.}",

note = "Funding Information: The authors thank Wang-Sang Koon for fruitful discussions on the space mission problem. K.O. is partially supported by JSPS (Grant-in-Aid 25-5126) and the MEXT {"}Top Global University Project{"} at Waseda University. H.Y. is partially supported by JSPS (Grant-in-Aid 26400408), JST (CREST), Waseda University (SR 2014B-162, SR 2015B-183), and the MEXT {"}Top Global University Project{"} at Waseda University.; 26th AAS/AIAA Space Flight Mechanics Meeting, 2016 ; Conference date: 14-02-2016 Through 18-02-2016",

year = "2016",

language = "English",

isbn = "9780877036333",

series = "Advances in the Astronautical Sciences",

publisher = "Univelt Inc.",

pages = "1497--1512",

editor = "Ozimek, {Martin T.} and Renato Zanetti and Bowes, {Angela L.} and Russell, {Ryan P.} and Ozimek, {Martin T.}",

booktitle = "Spaceflight Mechanics 2016",

}