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Efficient algorithm for nonlinear trajectory optimization of spacecraft using generating functions

Research Project

Project/Area Number 21760650
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Aerospace engineering
Research InstitutionKyoto University

Principal Investigator

BANDO Mai  Kyoto University, 宇宙総合学研究ユニット, 特定助教 (40512041)

Project Period (FY) 2009 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords軌道力学 / 軌道制御 / 惑星探査 / 航空宇宙工学 / 制御工学 / 正準変換 / ハミルトン・ヤコビ方程式
Research Abstract

Using a recently developed technique based on Hamilton-Jacobi theory, we develop a method to approximate the solution of the Hamilton-Jacobi equation which can solve nonlinear trajectory optimization of spacecraft. The proposed method is based on the successive approximation and Galerkin spectral method with Chebyshev polynomials. This approach is expected to derive the analytical solution of the optimal control problem in the large domain.

Report

(3 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • Research Products

    (26 results)

All 2010 2009

All Journal Article (8 results) (of which Peer Reviewed: 8 results) Presentation (18 results)

  • [Journal Article] Transactions of the Japan Society for Aeronautical and Space Sciences2010

    • Author(s)
      Mai Bando, Hiroshi Yamakawa, Orbital Design for Multiple Flyby Missions
    • Journal Title

      Aerospace Technology Japan Vol.8, No.ists27

      Pages: 9-13

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Solution to Lambert's Problem Using Generalized Canonical Transformations2010

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Journal Title

      Advances in the Astronautical Sciences Vol.136

      Pages: 587-603

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A New Lambert Algorithm Using the Hamilton-Jacobi-Bellman Equations2010

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Journal Title

      AIAA Journal of Guidance, Control, and Dynamics Vol.33 No.3

      Pages: 1000-1008

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Solution to Lambert's Problem Using Generalized Canonical Transformations2010

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Journal Title

      Advances in the Astronautical Sciences

      Volume: 136 Pages: 587-603

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orbital Design for Multiple Flyby Mission2010

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Journal Title

      Transactions of the Japan Society for Aero nautical and Space Sciences, Aerospace Technology Japan

      Volume: 8

    • NAID

      130000675480

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A New Lambert Algorithm Using the Hamilton-Jacobi-Bellman Equations2010

    • Author(s)
      Mai Bando
    • Journal Title

      AIAA Journal of Guidance, Control, and Dynamics 33

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A New Optimal Orbit Control for Two-Point Boundary-Value Problem Using Generating Functions2009

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Journal Title

      Advances in the Astronautical Sciences Vol.134

      Pages: 245-260

    • NAID

      120007044555

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A New Optimal Orbit Control for Two-Point Boundary-Value Problem Using Generating Functions2009

    • Author(s)
      Mai Bando
    • Journal Title

      Advances in the Astronautical Sciences 134

      Pages: 245-260

    • NAID

      120007044555

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] 低推力宇宙機による地球接近小惑星軌道変更ミッション2010

    • Author(s)
      坂東麻衣, 山川宏
    • Organizer
      SICEシステムインテグレーション部門講演会3
    • Place of Presentation
      東北大
    • Year and Date
      2010-12-25
    • Related Report
      2010 Final Research Report
  • [Presentation] 地球接近小惑星軌道変更ミッションのための軌道最適化2010

    • Author(s)
      Mai Bando
    • Organizer
      SICEシステムインテグレーション部門講演会
    • Place of Presentation
      東北大
    • Year and Date
      2010-12-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] 地球接近小惑星軌道変更ミッションのための軌道最適化2010

    • Author(s)
      坂東麻衣, 山川宏
    • Organizer
      第54回宇宙科学技術連合講演会
    • Place of Presentation
      静岡
    • Year and Date
      2010-11-17
    • Related Report
      2010 Final Research Report
  • [Presentation] 低推力宇宙機による地球接近小惑星軌道変更ミッション2010

    • Author(s)
      Mai Bando
    • Organizer
      第54回宇宙科学技術連合講演会
    • Place of Presentation
      静岡
    • Year and Date
      2010-11-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] Application of Global Solution of Hamilton-Jacobi Equations to Optimal Low-Thrust Multiple Rendezvous Problem2010

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Organizer
      61st International Astronautical Congress
    • Place of Presentation
      Prague
    • Year and Date
      2010-10-01
    • Related Report
      2010 Final Research Report
  • [Presentation] Application of Global Solution of Hamilton-Jacobi Equations to Optimal Low-Thrust Multiple Rendezvous Problem2010

    • Author(s)
      Mai Bando
    • Organizer
      12th International Space Conference of Pacific-basin Societies (ISCOPS)
    • Place of Presentation
      Prague チェコ共和国
    • Year and Date
      2010-10-01
    • Related Report
      2010 Annual Research Report
  • [Presentation] Low-Thrust Trajectory Optimization Using Second-Order Generating Functions2010

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Organizer
      SICE Annual Conference
    • Place of Presentation
      Taipei
    • Year and Date
      2010-08-19
    • Related Report
      2010 Final Research Report
  • [Presentation] Low-Thrust Trajectory Optimization Using Second-Order Generating Functions2010

    • Author(s)
      Mai Bando
    • Organizer
      SICE Annual Conference
    • Place of Presentation
      Taipei 台湾
    • Year and Date
      2010-08-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] Low-Thrust Multiple Rendezvous Trajectories Using Generating Functions2010

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Organizer
      20th JAXA Workshop on Astrodynamics and Flight Mechanics
    • Place of Presentation
      相模原
    • Year and Date
      2010-07-26
    • Related Report
      2010 Final Research Report
  • [Presentation] Low-Thrust Multiple Rendezvous Trajectori es Using Generating Functions2010

    • Author(s)
      Mai Bando
    • Organizer
      20th JAXA Workshop on Astrodynamics and Flight Mechanics
    • Place of Presentation
      相模原
    • Year and Date
      2010-07-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] ハミルトンヤコビ方程式を用いた宇宙機の軌道移行問題の数値解法2010

    • Author(s)
      坂東麻衣, 山川宏
    • Organizer
      天体力学N 体力学研究会3
    • Place of Presentation
      千葉大(招待)
    • Year and Date
      2010-03-19
    • Related Report
      2010 Final Research Report
  • [Presentation] ハミルトンヤコビ方程式を用いた宇宙機の軌道移行問題の数値解法2010

    • Author(s)
      坂東麻衣
    • Organizer
      天体力学N体力学研究会
    • Place of Presentation
      千葉大学
    • Year and Date
      2010-03-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] Solution to Lambert's Problem Using Generalized Canonical Transformations2010

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Organizer
      20TH AAS/AIAA Space Flight Mechanics Meeting
    • Place of Presentation
      SanDiego
    • Year and Date
      2010-02-15
    • Related Report
      2010 Final Research Report
  • [Presentation] Solution to Lambert's Problem Using Generalized Canonical Transformations2010

    • Author(s)
      Mai Bando
    • Organizer
      20TH AAS/AIAA Space Flight Mechanics Meeting
    • Place of Presentation
      サンディエゴ(米国)
    • Year and Date
      2010-02-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Application of Global Solution of Hamilton-Jacobi Equations to Nonlinear Trajectory Optimization of Spacecraft2009

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Organizer
      19th JAXA Workshop on Astrodynamics and Flight Mechanics
    • Place of Presentation
      Sagamihara
    • Year and Date
      2009-07-30
    • Related Report
      2010 Final Research Report
  • [Presentation] Application of Global Solution of Hamilton-Jacobi Equations to Nonlinear Trajectory Optimization of2009

    • Author(s)
      Mai Bando
    • Organizer
      19th JAXA Workshop on Astrodynamics and Flight Mechanics
    • Place of Presentation
      相模原
    • Year and Date
      2009-07-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] Orbital Design for Multiple Flyby Mission2009

    • Author(s)
      Mai Bando, Hiroshi Yamakawa
    • Organizer
      27th International Symposium on Space Technology and Science
    • Place of Presentation
      Tsukuba
    • Year and Date
      2009-07-07
    • Related Report
      2010 Final Research Report
  • [Presentation] Orbital Design for Multiple Flyby Mission2009

    • Author(s)
      Mai Bando
    • Organizer
      27th International Symposium on Space Technology and Science
    • Place of Presentation
      筑波
    • Year and Date
      2009-07-07
    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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