The Earth-Moon low-energy transfer in the 4-body problem

Kaori Onozaki, Hiroaki Yoshimura, Shane D. Ross

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

    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 Poincaré section.

    Original languageEnglish
    Title of host publicationSpaceflight Mechanics 2016
    PublisherUnivelt Inc.
    Pages1497-1512
    Number of pages16
    Volume158
    ISBN (Print)9780877036333
    Publication statusPublished - 2016
    Event26th AAS/AIAA Space Flight Mechanics Meeting, 2016 - Napa, United States
    Duration: 2016 Feb 142016 Feb 18

    Other

    Other26th AAS/AIAA Space Flight Mechanics Meeting, 2016
    CountryUnited States
    CityNapa
    Period16/2/1416/2/18

    Fingerprint

    Moon
    moon
    Energy transfer
    Earth (planet)
    energy transfer
    trajectory
    Trajectories
    Sun
    energy
    trajectories
    sun
    Spacecraft
    spacecraft
    perturbation
    tubes

    ASJC Scopus subject areas

    • Aerospace Engineering
    • Space and Planetary Science

    Cite this

    Onozaki, K., Yoshimura, H., & Ross, S. D. (2016). The Earth-Moon low-energy transfer in the 4-body problem. In Spaceflight Mechanics 2016 (Vol. 158, pp. 1497-1512). Univelt Inc..

    The Earth-Moon low-energy transfer in the 4-body problem. / Onozaki, Kaori; Yoshimura, Hiroaki; Ross, Shane D.

    Spaceflight Mechanics 2016. Vol. 158 Univelt Inc., 2016. p. 1497-1512.

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

    Onozaki, K, Yoshimura, H & Ross, SD 2016, The Earth-Moon low-energy transfer in the 4-body problem. in Spaceflight Mechanics 2016. vol. 158, Univelt Inc., pp. 1497-1512, 26th AAS/AIAA Space Flight Mechanics Meeting, 2016, Napa, United States, 16/2/14.
    Onozaki K, Yoshimura H, Ross SD. The Earth-Moon low-energy transfer in the 4-body problem. In Spaceflight Mechanics 2016. Vol. 158. Univelt Inc. 2016. p. 1497-1512
    Onozaki, Kaori ; Yoshimura, Hiroaki ; Ross, Shane D. / The Earth-Moon low-energy transfer in the 4-body problem. Spaceflight Mechanics 2016. Vol. 158 Univelt Inc., 2016. pp. 1497-1512
    @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.}",
    year = "2016",
    language = "English",
    isbn = "9780877036333",
    volume = "158",
    pages = "1497--1512",
    booktitle = "Spaceflight Mechanics 2016",
    publisher = "Univelt Inc.",

    }

    TY - GEN

    T1 - The Earth-Moon low-energy transfer in the 4-body problem

    AU - Onozaki, Kaori

    AU - Yoshimura, Hiroaki

    AU - Ross, Shane D.

    PY - 2016

    Y1 - 2016

    N2 - 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 Poincaré section.

    AB - 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 Poincaré section.

    UR - http://www.scopus.com/inward/record.url?scp=85007370986&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85007370986&partnerID=8YFLogxK

    M3 - Conference contribution

    SN - 9780877036333

    VL - 158

    SP - 1497

    EP - 1512

    BT - Spaceflight Mechanics 2016

    PB - Univelt Inc.

    ER -