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Low-Thrust Interplanetary highway in Multi-Body Problem

Research Project

Project/Area Number 18K04560
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 24010:Aerospace engineering-related
Research InstitutionKyushu University

Principal Investigator

Bando Mai  九州大学, 工学研究院, 准教授 (40512041)

Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywords多体問題 / 低推力 / 三体問題 / 多様体 / 惑星間軌道 / 不変多様体 / 最適制御 / スパース最適制御 / トランジット軌道 / 多体力学系 / 4体問題 / 軌道力学
Outline of Final Research Achievements

In a multi-body dynamical system, a method to achieve interplanetary transition at low cost by adding artificial acceleration is considered. First, it was clarified that the position of the artificial equilibrium point and the periodic orbit can be controlled to the desired position by changing the magnitude and direction of the constant acceleration. As a simplified problem of interplanetary navigation, we considered periodic orbits around different equilibrium points and proposed a transfer method between periodic orbits using the structure of the invariant manifold that accompanies it. Furthermore, as a control theory for multi-body dynamical systems, a design method for the minimum fuel trajectory using convex optimization is proposed. Based on the proposed method, interplanetary transfer assuming continuous acceleration with extremely small thrust levels is achieved.

Academic Significance and Societal Importance of the Research Achievements

2001年NASAにより打ち上げられたジェネシスミッション以来,多体力学系の性質を積極的に利用することで効率的な軌道が実現され,2体問題では実現しえない特殊かつ工学的に有用な軌道がミッションにおいて多く用いられている.しかし,これまでの多体力学系の軌道設計は天体の重力場が作る力学系の運動から条件をみたす軌道を数値的に見つけだすものであり,設計の自由度は高くなかった,そこで,設計の自由度を高めるため解析的なアプローチによって多体力学系の効果を利用した低推力宇宙機の軌道設計を行い「多体力学系の力学構造の効果を最大限利用するためには,低推力をどのように加えるのが良いのか」を明らかにすることができた.

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (34 results)

All 2021 2020 2019 2018 Other

All Int'l Joint Research (3 results) Journal Article (6 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 4 results) Presentation (25 results) (of which Int'l Joint Research: 20 results)

  • [Int'l Joint Research] Colorado University/Purdue University(米国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] コロラド大学ボルダー校(米国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] コロラド大学(米国)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Sparse Optimal Control for Nonlinear Trajectory Design in Three-Body Problem2021

    • Author(s)
      yuki kayama, Mai Bando and Shinji Hokamoto
    • Journal Title

      Transactions of the JSASS / Aerospace Technology Japan

      Volume: -

    • NAID

      130008062300

    • Related Report
      2020 Annual Research Report
  • [Journal Article] Orbit Maintenance for Quasi-Periodic Orbit in Earth-Moon System2021

    • Author(s)
      Yang Zhou, Mai Bando, Shinji Hokamoto and Panlong Wu
    • Journal Title

      Transactions of the JSASS / Aerospace Technology Japan

      Volume: -

    • NAID

      130008062287

    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Journal Article] Periodic and quasi-periodic orbit design based on the center manifold theory2019

    • Author(s)
      Akiyama Yuki、Bando Mai、Hokamoto Shinji
    • Journal Title

      Acta Astronautica

      Volume: in press Pages: 672-682

    • DOI

      10.1016/j.actaastro.2019.02.029

    • Related Report
      2019 Research-status Report 2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Optimal Trajectory Design of Formation Flying based on Attractive Sets2019

    • Author(s)
      YAMANE Motoki、BANDO Mai、HOKAMOTO Shinji
    • Journal Title

      TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, AEROSPACE TECHNOLOGY JAPAN

      Volume: 17 Issue: 1 Pages: 96-103

    • DOI

      10.2322/tastj.17.96

    • NAID

      130007542868

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Integrated orbit determination and maintenance in Earth-Moon unstable dynamics environment2018

    • Author(s)
      Zhou Yang、Bando Mai、Hokamoto Shinji、Wu Panlong
    • Journal Title

      Acta Astronautica

      Volume: in press Pages: 63-76

    • DOI

      10.1016/j.actaastro.2018.11.041

    • Related Report
      2019 Research-status Report 2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Nonlinear Attractive and Reachable Sets Under Optimal Control in Three-Body Problem2018

    • Author(s)
      Bando Mai、Scheeres Daniel J.
    • Journal Title

      Journal of Guidance, Control, and Dynamics

      Volume: 41 Issue: 8 Pages: 1766-1775

    • DOI

      10.2514/1.g003334

    • NAID

      120007044554

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] ow Thrust Trajectory Design with Convex Optimization for Libration Point Orbits2021

    • Author(s)
      Yuki Kayama, Mai Bando and Shinji Hokamoto
    • Organizer
      31st AAS/AIAA Space Flight Mechanics Meeting
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Application of Halo Orbit on Extension for Launch Window limited by Direct Earth-Mars Transfer2021

    • Author(s)
      Zhe Xu, Mai Bando, Hideaki Ogawa and Shinji Hokamoto
    • Organizer
      31st AAS/AIAA Space Flight Mechanics Meeting
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Trajectory Design to Mars from Earth-Moon System with Three-dimensional Transit Orbits2020

    • Author(s)
      Noma Wataru, Zhe Xu, Mai Bando and Shinji Hokamoto
    • Organizer
      71st International Astronautical Congress (IAC 2020)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cycler Orbit Design Using Low-thrust in the Sun-Earth-Moon system2020

    • Author(s)
      Keitaro Miyahara, Yuki Kayama, Mai Bando and Shinji Hokamoto
    • Organizer
      71st International Astronautical Congress (IAC 2020)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Formation Control Using Differential Atmospheric Drag Considering Attitude Constraints2020

    • Author(s)
      Takehiro Yasuda, Mai Bando and Shinji Hokamoto
    • Organizer
      71st International Astronautical Congress (IAC 2020)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Trajectory design in the vicinity of 65803 Didymos based on the center manifold theory2020

    • Author(s)
      Naoki Hiraiwa, Mai Bando and Shinji Hokamoto
    • Organizer
      2020 AAS/AIAA Astrodynamics Specialist Conference
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Minimum Fuel Trajectory Design Using Sparse Optimal Control in Three-Body Problem2020

    • Author(s)
      Yuki Kayama, Mai Bando and Shinji Hokamoto
    • Organizer
      2020 AIAA SciTech Forum,
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Optimal Landing Problem for a Binary Asteroid System and Its Error Sensitivity2020

    • Author(s)
      Anviksha Sharma, Mai Bando, Shinji Hokamoto and Daniel Scheeres
    • Organizer
      SICE Annual Conference 2020
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Riemannian Optimization for Spacecraft Trajectory Design2019

    • Author(s)
      Kyosuke Asaki, Mai Bando and Shinji Hokamoto
    • Organizer
      70th International Astronautical Congress (IAC 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Manifold-to-Manifold Transfers Using Low-Thrust Acceleration2019

    • Author(s)
      Yuri Hachiya, Yuki Kayama, Mai Bando and Shinji Hokamoto
    • Organizer
      70th International Astronautical Congress (IAC 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Manifold-based robust stabilization of libration-point orbit with navigational uncertainty,2019

    • Author(s)
      Yang Zhou, Mai Bando, Shinji Hokamoto, Panlong Wu
    • Organizer
      70th International Astronautical Congress (IAC 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Station-keeping of Unstable Orbits Based on Sparse Optimal Control2019

    • Author(s)
      Yuki Kayama, Mai Bando, and Shinji Hokamoto
    • Organizer
      SICE Annual Conference
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Direct Method of Optimal Trajectory Design in Three-Body Problem2019

    • Author(s)
      Yuki Kayama, Mai Bando, and Shinji Hokamoto
    • Organizer
      32nd International Symposium on Space Technology and Science (ISTS)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Orbit maintenance for quasi periodic orbits in Earth-Moon system2019

    • Author(s)
      Yang Zhou, Mai Bando, Shinji Hokamoto, Panlong Wu
    • Organizer
      32nd International Symposium on Space Technology and Science (ISTS)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 3次元トランジット軌道の設計とミッション2019

    • Author(s)
      野間航, 坂東麻衣, 外本伸治
    • Organizer
      第63回宇宙科学技術連合講演会
    • Related Report
      2019 Research-status Report
  • [Presentation] 太陽―地球―月系における低推力を用いた連続月スイングバイ軌道設計2019

    • Author(s)
      宮原圭太郎, 香山裕樹,坂東麻衣, 外本伸治
    • Organizer
      第63回宇宙科学技術連合講演会
    • Related Report
      2019 Research-status Report
  • [Presentation] 円制限三体問題の接続による惑星間遷移軌道の設計/3次元ト ランジット軌道の設計2019

    • Author(s)
      野間航, 坂東麻衣, 外本伸治
    • Organizer
      第29回 アストロダイナミクスシンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] Successive Sparse Optimal Controlの提案と三体問題を利用した軌道設計への応用2019

    • Author(s)
      香山裕樹,坂東麻衣, 外本伸治
    • Organizer
      第29回 アストロダイナミクスシンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] B-planeを用いた三体問題におけるスイングバイ軌道の解析2019

    • Author(s)
      宮原圭太郎, 香山裕樹,坂東麻衣, 外本伸治
    • Organizer
      第29回 アストロダイナミクスシンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] Sparse Optimal Trajectory Design in Three-Body Problem2019

    • Author(s)
      Yuki Kayama, Mai Bando and Shinji Hokamoto
    • Organizer
      29th AAS/AIAA Space Flight Mechanics Meeting
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Trajectory Design in the Circular Restricted Three-body Problem Using Artificial Invariant Manifolds2019

    • Author(s)
      Yuki Oshima, Mai Bando and Shinji Hokamoto
    • Organizer
      29th AAS/AIAA Space Flight Mechanics Meeting
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Extended State Space Approach for Trajectory Design in Elliptic Restricted Three-Body Problem2018

    • Author(s)
      Yuki Akiyama, Mai Bando and Shinji Hokamoto
    • Organizer
      69th International Astronautical Congress (IAC 2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Optimal Control of Spacecraft Attitude Motion using Port-Hamiltonian Systems2018

    • Author(s)
      Tomoya Sakamoto, Mai Bando and Shinji Hokamoto
    • Organizer
      69th International Astronautical Congress (IAC 2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Optimal Trajectory Design for Safety Rendezvous Based on Sparse Modeling2018

    • Author(s)
      Satoshi Nagashima, Mai Bando and Shinji Hokamoto
    • Organizer
      69th International Astronautical Congress (IAC 2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] LQ Optimal Artificial Potential Functions for Satellite Swarm Guidance2018

    • Author(s)
      Kyosuke Asaki, Mai Bando and Shinji Hokamoto,
    • Organizer
      SICE Annual Conference
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research

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Published: 2018-04-23   Modified: 2022-01-27  

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