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Frontier mathematical models for the next generation of global satellite gravity fields

Research Project

Project/Area Number 19340129
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Solid earth and planetary physics
Research InstitutionKyoto University

Principal Investigator

XU Peiliang  Kyoto University, 防災研究所, 助教 (10293961)

Co-Investigator(Kenkyū-buntansha) FUKUDA Youichi  京都大学, 理学研究科, 教授 (30133854)
Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥17,550,000 (Direct Cost: ¥13,500,000、Indirect Cost: ¥4,050,000)
Fiscal Year 2009: ¥6,370,000 (Direct Cost: ¥4,900,000、Indirect Cost: ¥1,470,000)
Fiscal Year 2008: ¥6,370,000 (Direct Cost: ¥4,900,000、Indirect Cost: ¥1,470,000)
Fiscal Year 2007: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Keywords衛星重力 / 物理測地学 / 宇宙測地学 / GPS / 逆問題 / 混合整数値線形モデル / 衛星重力場 / Generalized Cross-Validation / GOCE / 重力異常 / 衛星軌道 / 重力場 / GPS数理学 / satellite geodesy / Earth's gravity field / position perturbation / velocity perturbation
Research Abstract

This research project is to investigate frontier mathematical problems for the next generation of global satellite gravity models. The most important results we obtained are summarized as follows : [1] We have successfully developed a new perturbation theory for positions and velocities, which can automatically incorporate data of any type and at unprecedented high accuracy and continuity and easily modified to meet data requirement in the future. [2] We have developed a new theory for combining different types of data for inverse satellite gravity mapping ; [3] We have built and deepened our research on mixed integer linear models for use in GPS.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (34 results)

All 2010 2009 2008 2007

All Journal Article (16 results) (of which Peer Reviewed: 16 results) Presentation (18 results)

  • [Journal Article] in: Handbook of Geomathematics, W. Freeden, Z. Nashed and T. Sonar (eds)2010

    • Author(s)
      Xu P.L.
    • Journal Title

      Springer (accepted and to appear in summer)

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Mixed integer linear models2010

    • Author(s)
      Xu PL
    • Journal Title

      Handbook of Geomathematics (accepted)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Iterative generalized cross validation for fusing heteroscedastic data of inverse ill-posed problems2009

    • Author(s)
      Xu P.L.
    • Journal Title

      Geophysical Journal International 179

      Pages: 182-200

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Zero initial partial deri-vatives of satellite orbits with respect to force parameters violate the physics of motion of celestial bodies2009

    • Author(s)
      Xu P.L.
    • Journal Title

      Science in China Ser. D-Earth Science 52

      Pages: 562-566

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Application of GOCE data for regional gravity field modelling2009

    • Author(s)
      Janak J. 、Fukuda Y. 、Xu P.
    • Journal Title

      Earth Planets Space 61

      Pages: 835-843

    • NAID

      10029013449

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Iterative generalized cross-validation for fusing heteroscedastic data of inverse ill-posed problems2009

    • Author(s)
      Xu PL
    • Journal Title

      Geophysical Journal International 179

      Pages: 182-200

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of GOCE data for regional gravity field modeling2009

    • Author(s)
      Janak J, Fukuda Y, Xu PL
    • Journal Title

      Earth Planets Space 61

      Pages: 835-843

    • NAID

      10029013449

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Zero initial partial derivatives of satellite orbits with respect to force parameters violate the physics of motion of celestial bodies2009

    • Author(s)
      Xu PL
    • Journal Title

      Science in China Series D : Earth Sciences 52

      Pages: 562-566

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of GOCE data for regional gravity field modeling2009

    • Author(s)
      Janak J, Fukuda Y, Xu PL
    • Journal Title

      Earth Planets Space (accepted)

    • NAID

      10029013449

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Position and velocity pertur-bations for the determination of geopotential from space geodetic measurements2008

    • Author(s)
      Xu P.L.
    • Journal Title

      Celestial Mechanics and Dynamical Astronomy 100

      Pages: 231-249

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Assessment of stochastic models for GPS measurements with different types of receivers2008

    • Author(s)
      Li B. 、Shen Y. 、Xu P.L.
    • Journal Title

      Chinese Science Bulletin 53

      Pages: 3219-3225

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Assessment of stochastic models for GPS measurements with different types of receivers2008

    • Author(s)
      Li BF, Shen YZ, Xu PL
    • Journal Title

      Chinese Science Bulletin 53

      Pages: 3219-3225

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Position and velocity perturbations for the determination of geopotential from space geodetic measurements2008

    • Author(s)
      Xu P.L.
    • Journal Title

      Celestial Mechanics and Dynamical Astronomy 100

      Pages: 231-249

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Estimability analysis of variance and covariance components2007

    • Author(s)
      Xu P.L. 、Liu Y.M. 、Shen Y.Z. 、Fukuda Y.
    • Journal Title

      Journal of Geodesy 81

      Pages: 593-602

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Reply to the comments by K.-R. Koch and J. Kusche2007

    • Author(s)
      Xu P.L. 、Shen Y.Z. 、Fukuda Y. 、Liu Y.M.
    • Journal Title

      Journal of Geodesy 81

      Pages: 633-635

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Reply to the comments by K. Koch and J. Kusche on Xu, et. al. (2006) Variance component estimation in linear inverse ill-posed models. J Geod 80:69-812007

    • Author(s)
      Xu P.L., Shen Y., Fukuda Y. & Liu Y.M.
    • Journal Title

      Journal of Geodesy 81

      Pages: 633-635

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 次世代の全地球衛星重力場:数理理論とその環境への応用2010

    • Author(s)
      Xu P.L.
    • Organizer
      平成21年度京都大学防災研究所研究発表講演会
    • Place of Presentation
      京都大学防災研究所
    • Related Report
      2009 Final Research Report
  • [Presentation] Study of landwater variation over Chao Phraya river basin using GRACE, satellite altimetry and in situ data2009

    • Author(s)
      Yamamoto K.、Y. Fukuda、T. Nakaegawa、M. Taniguchi
    • Organizer
      2009 AGU Fall Meeting
    • Place of Presentation
      Moscone Center、San Francisco
    • Related Report
      2009 Final Research Report
  • [Presentation] 世代の全地球衛星重力場への数理Modelling2009

    • Author(s)
      徐培亮
    • Organizer
      「重力観測・理論、その応用-陸上・海底から衛星観測まで」の研究集会
    • Place of Presentation
      東京大学地震研究所
    • Related Report
      2009 Final Research Report
  • [Presentation] Gravity changes associated with the 2004 Sumatra- Andaman earthquake: an interpretation of the postseismic gravity changes by SNRVEI model2009

    • Author(s)
      Hasegawa T.、Y. Fukuda、F. Gangyu、S. Wenke、Y. Tanaka、M. Hashimoto、K. Yamamoto
    • Organizer
      IAG2009 Geodesy for Planet Earth
    • Place of Presentation
      Buenos Aires、Argentina
    • Related Report
      2009 Final Research Report
  • [Presentation] Gravity Changes Associated with the 2004 Sumatra-Andaman Earthquake : An interpretation of the postseismic gravity changes by SNRVEI model2009

    • Author(s)
      Hasegawa, T., Y.Fukuda, F.Gangyu, S.Wenke, Y.Tanaka, M.
    • Organizer
      IAG2009 Geodesy for Planet Earth
    • Place of Presentation
      Buenos Aires, Argentina
    • Related Report
      2009 Annual Research Report
  • [Presentation] Position and velocity perturbations for thedetermination of the Earth's gravity field2008

    • Author(s)
      Xu PL
    • Organizer
      European Geoscience Union
    • Place of Presentation
      Convention Center
    • Year and Date
      2008-04-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] Coseismic and postseismic gravity changes associated with the 2004 Sumatra Earthquake: Comparison between GRACE and SNREI model2008

    • Author(s)
      Hasegawa T.、Y. Fukuda、G. Fu、W. Sun、J. Okuno、K. Yamamoto
    • Organizer
      2008 AGU Fall Meeting
    • Place of Presentation
      Moscone Center、San Francisco
    • Related Report
      2009 Final Research Report
  • [Presentation] Study of sub-basin scale groundwater variations in Asia using GRACE, satellite altimetry and in-situ data2008

    • Author(s)
      Yamamoto K.、Y. Fukuda、M. Taniguchi
    • Organizer
      2008 AGU Fall Meeting
    • Place of Presentation
      Moscone Center、San Francisco
    • Related Report
      2009 Final Research Report
  • [Presentation] Zero initial derivatives with respect to force parameters violates the physics of motion of the artificial satellites2008

    • Author(s)
      徐培亮
    • Organizer
      日本測地学会第110回講演会
    • Place of Presentation
      函館市民会館
    • Related Report
      2009 Final Research Report
  • [Presentation] Mathematical modelling of precise space geodetic measurements for the next generation of global gravity models2008

    • Author(s)
      Xu P.L.
    • Organizer
      Western Pacific Geophys. Meeting
    • Place of Presentation
      Cairns Convention Center
    • Related Report
      2009 Final Research Report
  • [Presentation] 2006 Australian drought detected by GRACE2008

    • Author(s)
      Hasegawa T.、Y. Fukuda、K. Yamamoto、T. Nakaegawa, Y. Tamura
    • Organizer
      Gravity, Geoid and Earth Observation (GGEO) 2008
    • Place of Presentation
      Crete, Greece
    • Related Report
      2009 Final Research Report
  • [Presentation] Gravity Changes Associated with the 2004 Sumatra-Andaman Earthquake: Comparison between GRACE data and SNREI Models2008

    • Author(s)
      Hasegawa T.、Y. Fukuda、K. Yamamoto、W. Sun
    • Organizer
      European Geosciences Union General Assembly 2008
    • Place of Presentation
      Austria Center Vienna
    • Related Report
      2009 Final Research Report
  • [Presentation] Stability investigation of gradiometric inverse problems for anomalous gravity tensor components2008

    • Author(s)
      Janak, J.、P.L. Xu、Y. Fukuda
    • Organizer
      European Geosciences Union General Assembly 2008
    • Place of Presentation
      Austria Center Vienna
    • Related Report
      2009 Final Research Report
  • [Presentation] Position and velocity pertur- bations for the determination of the Earth's gravity field2008

    • Author(s)
      Xu P.L.
    • Organizer
      European Geosciences Union General Assembly 2008
    • Place of Presentation
      Austria Center Vienna
    • Related Report
      2009 Final Research Report
  • [Presentation] Space geodesy: a new technology to monitor climate varia- tions2007

    • Author(s)
      Fukuda Y.
    • Organizer
      The 10th Kyoto University Int Symp. "Active Geosphere Science"
    • Place of Presentation
      Bandung, Indonesia
    • Related Report
      2009 Final Research Report
  • [Presentation] Ice sheet mass balance in Enderby Land, East Antarctica, inferred from GRACE, ICESat and in-situ measurements2007

    • Author(s)
      Fukuda Y.、K. Yamamoto、T. Hasegawa、K. Doi、K. Shibuya, H. Motoyama
    • Organizer
      IUGG XXIV General Assembly
    • Place of Presentation
      Perugia, Italy
    • Related Report
      2009 Final Research Report
  • [Presentation] GRACE衛星重力データと地上重力測定データ2007

    • Author(s)
      福田洋一、山本圭香、長谷川崇
    • Organizer
      日本地球惑星科学連合2007年大会
    • Place of Presentation
      幕張メッセ国際会議場
    • Related Report
      2009 Final Research Report
  • [Presentation] Coordinate and velocity perturbations for the determination of geopotential from space geodetic measurements2007

    • Author(s)
      徐培亮
    • Organizer
      日本地球惑星科学連合2007年大会
    • Place of Presentation
      幕張メッセ国際会議場
    • Related Report
      2009 Final Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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