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Analysis of Multibody Dynamics Based on Dynamical Systems Theory and Its Applications to Space Mission Design

Research Project

Project/Area Number 26400408
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionWaseda University

Principal Investigator

Yoshimura Hiroaki  早稲田大学, 理工学術院, 教授 (40247234)

Research Collaborator ONOZAKI Kaori  
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords宇宙機のミッション計画 / 力学系理論 / 摂動3体系 / 不変多様体 / 有限次元リヤプノフ指数 / チューブダイナミクス / ラグランジアンコヒーレント構造 / 宇宙機の軌道設計 / 制限3体問題 / 制限4体問題
Outline of Final Research Achievements

The purpose of this research is to establish a low energy transfer from the Earth to the Moon by using the coupled 3-body system with perturbations for modeling the planar restricted 4-body system. We have detected the tubes which correspond to the stable and unstable manifolds of the perturbed systems by numerically extracting the LCS from the FTLE field. Then, we demonstrate how the LCS separates the orbits. I particular, using the characteristics of the tube structures, we obtain the family of trajectories that depart from the LEO and the family of those that arrive into the LLO. Finally we have shown how a low energy Earth-Moon transfer can be constructed by choosing an appropriate orbit from each family such that the required Delta V can be minimized under the given conditions.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (35 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (5 results) Journal Article (14 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 7 results,  Acknowledgement Compliant: 11 results,  Open Access: 6 results) Presentation (14 results) (of which Int'l Joint Research: 6 results,  Invited: 4 results) Remarks (2 results)

  • [Int'l Joint Research] Virginia Tech(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Ghent University(Belgium)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Ecole Normale Superieure(France)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Ecole normale superieure(France)

    • Related Report
      2015 Research-status Report
  • [Int'l Joint Research] Ghent University(Belgium)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Tube dynamics and low energy Earth--Moon transfers in the 4-body system2017

    • Author(s)
      K. Onozaki, H. Yoshimura and S. Ross
    • Journal Title

      Advances in Space Research

      Volume: 掲載決定(5月) Pages: 1-34

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Low energy escape trajectory for the Mars Moon sample return mission2016

    • Author(s)
      M. Horikawa,Yasuhiro Kawakatsu and Hiroaki Yoshimura
    • Journal Title

      Proc. 26th AAS/AIAA Space Flight Mechanics Meeting

      Volume: AAS Paper 16-372 Pages: 1-10

    • Related Report
      2016 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] The Earth-Moon low-energy transfer in the 4-body problem2016

    • Author(s)
      K.Onozaki, H.Yoshimura and S. D. Ross
    • Journal Title

      Proc. 26th AAS/AIAA Space Flight Mechanics Meeting,

      Volume: AAS Paper 16-405 Pages: 1-16

    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Low energy transfer from the Earth to the Moon in the coupled planar circular 3-body system2016

    • Author(s)
      K.Onozaki, H.Yoshimura and S. D. Ross
    • Journal Title

      Proc. 6th International Conference on Astrodynamics Tools and Techniques

      Volume: ICATT Paper 0307 Pages: 1-7

    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Implicit Lagrange–Routh equations and Dirac reduction2016

    • Author(s)
      Eduardo Garicia-Torano Andres, Tom Mestdag and Hiroaki Yoshimura
    • Journal Title

      J.Geometry and Physics

      Volume: 104 Pages: 291-304

    • DOI

      10.1016/j.geomphys.2016.02.010

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Low Energy Escape Trajectory for the Mars Moon Sample Return Mission2016

    • Author(s)
      Makoto Horikawa,Yasuhiro Kawakatsu and Hiroaki Yoshimura
    • Journal Title

      Proc. 26th AAS/AIAA Space Flight Mechanics Meeting

      Volume: AAS Paper 16-372 Pages: 1-10

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] The Earth-Moon Low-Energy Transfer in the 4-body Problem2016

    • Author(s)
      Kaori Onozaki, Hiroaki Yoshimura and Shane, D. Ross
    • Journal Title

      Proc. 26th AAS/AIAA Space Flight Mechanics Meeting

      Volume: AAS Paper 16-405 Pages: 1-16

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Dirac structure in vakonomic mechanics2015

    • Author(s)
      Fernando Jimenez and Hiroaki Yoshimura
    • Journal Title

      J. Geom. Phys.

      Volume: 94 Pages: 158-178

    • DOI

      10.1016/j.geomphys.2014.11.002

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Dirac reduction for nonholonomic mechanical systems and semidirect products2015

    • Author(s)
      F. G. Balmaz, H. Yoshimura
    • Journal Title

      Advances in Applied Mathematics

      Volume: 63 Pages: 131-213

    • DOI

      10.1016/j.aam.2014.10.004

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Tube Dynamics and Trajectory Design for Capturing the Lyapunov Orbit in the Coupled Restricted Three-Body Problem and Its Application to the DESTINY Mission2015

    • Author(s)
      K. Onozaki, T. Nakamura  and H. Yoshimura
    • Journal Title

      Proc.24th Workshop on Astrodynamics and Flight Mechanics

      Volume: AA12686786 Pages: 1-6

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] チューブダイナミクスとホーマン軌道による火星への軌道設計2015

    • Author(s)
      堀川真,中村友彦,小野崎香織,吉村浩明
    • Journal Title

      第59回システム制御情報学会研究発表講演会講演論文集

      Volume: 125-6 Pages: 1-5

    • NAID

      40020472048

    • Related Report
      2015 Research-status Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] 結合制限3体問題における低エネルギーの月遷移軌道2015

    • Author(s)
      小野崎香織,吉村浩明
    • Journal Title

      第24回スペース・エンジニアリング・コンファレンス

      Volume: No. B03 Pages: 1-6

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Invariant Manifolds and Lagrangian Coherent Structures in the Planar Circular Restricted Three-Body Problem2014

    • Author(s)
      K. Onozaki, H. Yoshimura
    • Journal Title

      Theoretical and Applied Mechanics Japan

      Volume: 62 Issue: 0 Pages: 119-128

    • DOI

      10.11345/nctam.62.119

    • NAID

      130004463857

    • ISSN
      1348-0693, 1349-4244
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] <b>The Transfer Orbit to Moon in the Planar Restricted Elliptic </b><b>Three-Body Problems</b>2014

    • Author(s)
      小野崎香織, 吉村浩明
    • Journal Title

      Transactions of the Institute of Systems, Control and Information Engineers

      Volume: 27 Issue: 4 Pages: 160-165

    • DOI

      10.5687/iscie.27.160

    • NAID

      130004565054

    • ISSN
      1342-5668, 2185-811X
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Escape trajectories for Martian Moons eXplorer using chemical and electric propulsion2016

    • Author(s)
      M. Horikawa, T. Saiki, Y. Kawakatsu and H. Yoshimura
    • Organizer
      Proc. AIAA/AAS Astrodynamics Specialists Conference, AIAA2016-5209
    • Place of Presentation
      California, Long Beach
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Geometric formulation and analysis in multibody dynamics2016

    • Author(s)
      H.Yoshimura
    • Organizer
      The 8th Asian Conference on Multibody Dynamics
    • Place of Presentation
      金沢
    • Year and Date
      2016-08-07
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Earth return trajectory for Martian Moons eXplorer combining three and two-body dynamics2016

    • Author(s)
      M. Horikawa, K. Takemura,T. Saiki, Y. Kawakatsu, H. Yoshimura
    • Organizer
      6th Workshop on Astrodynamics and Flight Mechanics
    • Place of Presentation
      ISAS/JAXA
    • Year and Date
      2016-07-25
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] チューブダイナミクスと不変トーラスによる火星への軌道設計2016

    • Author(s)
      佐々木 章太,中村 友彦,堀川 真,小野崎 香織,吉村 浩明
    • Organizer
      第60回 システム制御情報学会研究発表講演会
    • Place of Presentation
      京都テルサ
    • Year and Date
      2016-05-25
    • Related Report
      2016 Annual Research Report
  • [Presentation] 非線形ダイナミクスと制御の最新研究動向2016

    • Author(s)
      吉村浩明
    • Organizer
      三菱電機先端技術総合研究所セミナー
    • Place of Presentation
      三菱電機先端技術総合研究所
    • Year and Date
      2016-02-22
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 制限4体問題に現れる不変多様体の解析と地球-月輸送軌道の設計2015

    • Author(s)
      小野崎香織,吉村浩明
    • Organizer
      数学・数理科学専攻若手研究者のための異分野・異業種研究交流会2015
    • Place of Presentation
      東京大学
    • Year and Date
      2015-11-14
    • Related Report
      2015 Research-status Report
  • [Presentation] 制限4体問題の不変多様体と宇宙機の軌道設計への応用2015

    • Author(s)
      小野崎香織,吉村浩明
    • Organizer
      日本応用数理学会2015年度年会
    • Place of Presentation
      金沢大学
    • Year and Date
      2015-09-03
    • Related Report
      2015 Research-status Report
  • [Presentation] Variational Structures and Lagrange-Dirac Systems2015

    • Author(s)
      Hiroaki Yoshimura
    • Organizer
      5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
    • Place of Presentation
      Lyon
    • Year and Date
      2015-07-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Invariant manifolds and space mission design in the restricted four-body problem2015

    • Author(s)
      K. Onozaki, H. Yoshimura
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird
    • Year and Date
      2015-05-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Lie-Dirac reduction for nonholonomic systems on semidirect products2015

    • Author(s)
      H. Yoshimura and Francois Gay-Balmaz
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird
    • Year and Date
      2015-05-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] チューブダイナミクスと太陽-地球系L2点周りのリアプノフ軌道への投入計画2014

    • Author(s)
      小野崎香織,中村友彦,吉村浩明
    • Organizer
      日本機械学会2014年度年次大会
    • Place of Presentation
      東京電機大学
    • Year and Date
      2014-09-08
    • Related Report
      2014 Research-status Report
  • [Presentation] 結合された制限3体問題に基づく宇宙機の軌道設計に関する考察2014

    • Author(s)
      小野崎香織,中村友彦,吉村浩明
    • Organizer
      日本応用数理学会 2014年度年会
    • Place of Presentation
      政策研究大学院大学
    • Year and Date
      2014-09-03
    • Related Report
      2014 Research-status Report
  • [Presentation] Low Energy Trajectory Design in the Restricted Four-Body Problem, The 4th International Conference on Dynamics2014

    • Author(s)
      K. Onozaki, H. Yoshimura
    • Organizer
      The 4th International Conference on Dynamics, Vibration and Control
    • Place of Presentation
      上海
    • Year and Date
      2014-08-03
    • Related Report
      2014 Research-status Report
  • [Presentation] チューブダイナミクスと結合された制限3体問題に基づくリアプノフ軌道の捕捉とDESTINYミッションへの応用2014

    • Author(s)
      小野崎香織,中村友彦,吉村浩明
    • Organizer
      24th. Workshop on Astrodynamics and Flight Mechanics
    • Place of Presentation
      宇宙科学研究所
    • Year and Date
      2014-07-28
    • Related Report
      2014 Research-status Report
  • [Remarks] Yoshimura Lab.

    • URL

      http://www.yoshimura.mech.waseda.ac.jp/Publication.htm

    • Related Report
      2015 Research-status Report
  • [Remarks] 吉村研究室ホームページ

    • URL

      http://www.yoshimura.mech.waseda.ac.jp/

    • Related Report
      2014 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2022-02-16  

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