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Methods for Precise Determination of Geopotential from Satellite Missions

Research Project

Project/Area Number 13640422
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体地球物理学
Research InstitutionKyoto University

Principal Investigator

XU Pl  Kyoto University, Disaster Prevention Res Inst, Joshu (10293961)

Co-Investigator(Kenkyū-buntansha) OKUBO Shuhei  Tokyo University, Earthquake Res Inst, Professor (30152078)
FUKUDA Youichi  Kyoto University, Faculty of Sciences, Assoc Professor (30133854)
KUROISHI Yuki  Kyoto University, Geogr. Surv. Inst. Crustal Activity, Senior Researcher (30370810)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥2,200,000 (Direct Cost: ¥2,200,000)
KeywordsSpace Geodesy / Gravity Field / Nonlinear Inversion / Nonlinear Filtering / Global Ontimization / GPS Decorrelation / GPS / Physical Geodesy / Regularization / satellite gravity / ice sheet movement / global optimization / nonlinear inversion / Voronoi cells / GPS integer LS models / GPS ambiguity decorrelation / random simulation / nonlinear filter
Research Abstract

The major new results of this research project can be briefly summarized as follows: (i) As a first step to use GPS satellites in the determination of the gravitational field, we have to precisely determine the positions of a low satellite by using carrier phase observables. In order to correctly and quickly resolve the GPS integer ambiguity unknowns, we have proposed a new GPS integer decorrelation method and a new random simulation approach to scientifically compare different methods of correlation. The results have indicated that the new method is currently the best and showed that Gaussian integer decorrelation is not the best; (ii) We have investigated the nonlinear filter for precise orbit determination as well. The new results include proposing an unbiased predictor of second order and a truncated and unbiased filter of second order. We have also derived the coupled differential equations of the filter and its covariance matrix in the case of nonlinear continuous system. The new … More results imply that forty years of nonlinear filtering of continuous nonlinear systems may have a fundamental defect in the foundation; (iii) By means of simulation, we have tested the improvement of spatial and temporal resolution in gravity field by sampling more than one satellite at the same attitude but at different rates. We have also investigated the effect of the sampling rates of ECMWF surface pressure data and aliasing on the time varying gravity field. The results have confirmed the effectiveness of simulation; and (iv) Since the determination of the gravitational field from space observations is nonlinear, and keeping in mind that simulated annealing and genetic algorithms --- two most widely used global optimization methods are actually not capable of correctly producing the global optimal solution in general, we have focused on new non-random algorithms and proposed a new hybrid global optimization method for nonlinear nonconvex geo-inversion. The theoretical results have been established and practical applicability confirmed through the demonstration of examples. Less

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (18 results)

All 2003 2002 Other

All Journal Article (12 results) Publications (6 results)

  • [Journal Article] A challenge to the deterction of regional to local scale Ice sheet movements in Antarctica by the combination of In-gravity measurements and gravity satellite data2003

    • Author(s)
      Fukuda, Y., K.Shibuya, K.Doi and S.Aoki
    • Journal Title

      Proc.GG2002 Symposium

      Pages: 1-6

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] A hybrid global optimization method:The multi-dirnensional case2003

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

      Journal of Computational and Applied Mathematics 155

      Pages: 423-446

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Numerical solution for bounding feasible point sets2003

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

      Journal of Computational and Applied Mathematics 156

      Pages: 201-219

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Nonlinear filtering of continuous sustems: New resultand foundational problems2003

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

      Journal of Geodesy 77

      Pages: 247-256

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] A challenge to the deterction of regional to local scale Ice sheet movements in Antarctica by the combination of In-situ gravity measurements and gravity satellite data2003

    • Author(s)
      Fukuda, Y., K. Shibuya, K. Doi, S. Aoki.
    • Journal Title

      Proc. GG2002 Symposium

      Pages: 1-6

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] A hybrid global optimization method : The multi-dimensional case2003

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

      Journal of Computational and Applied Mathematics 155

      Pages: 423-446

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Numerical solution for bounding feasible point sets2003

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

      Journal of Computational and Applied Mathematics 156

      Pages: 201-219

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Nonlinear filtering of continuous systems : New results and foundational problems2003

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

      Journal of Geodesy 77

      Pages: 247-256

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] New challenges in connection with GPS precise positioning2002

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

      IAG Proc. 125

      Pages: 359-364

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] A hybrid global optimization method:The one-dimensional case2002

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

      Journal of Computational and Applied Mathematics 147

      Pages: 301-314

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] New challenges in connection with GPS precise positioning2002

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

      IAG Proc. 125

      Pages: 359-364

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] A hybrid global optimization method : The one-dimensional case2002

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

      Journal of Computational and Applied Mathematics 147

      Pages: 301-314

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Fukuda, Y., K.Shibuya, K.Doi, S.Aoki: "A challenge to the deterction of regional to local scale Ice sheet movements in Antarctica by the combination of In-situ gravity measurements and"Proc. GG2002 Symposium. (口頭発表). (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Xu, PL: "A hybrid global optimization method : The one-dimensional case"Journal of Computational and Applied Mathematics. 147. 301-314 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Xu, PL: "A hybrid global optimization method ; The multi-dimensional case"Journal of Computational and Applied Mathematics. (Accepted). 24 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Xu, PL: "Numerical solution for bounding feasible point sets"Journal of Computational and Applied Mathematics. (Accepted). 14 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Xu, PL: "Nonlinear filtering of continuous systems : New results and foundational problems"Journal of Geodesy. (Accepted). 10 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 徐培亮: "New Challenges in Connection with GPS Precise Positioning"Proc. IAG. (accepted). (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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