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

• Project/Area Number: 19340129
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Solid earth and planetary physics
• Research Institution: Kyoto 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: ¥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.

Research Products

• [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)
  • Peer Reviewed
• [Journal Article] Mixed integer linear models (2010)
  • Author(s): Xu PL
  • Journal Title: Handbook of Geomathematics (accepted)
  • Peer Reviewed
• [Journal Article] Iterative generalized cross validation for fusing heteroscedastic data of inverse ill-posed problems (2009)
  • Author(s): Xu P.L.
  • Journal Title: Geophysical Journal International 179 Pages: 182-200
  • Peer Reviewed
• [Journal Article] Zero initial partial deri-vatives of satellite orbits with respect to force parameters violate the physics of motion of celestial bodies (2009)
  • Author(s): Xu P.L.
  • Journal Title: Science in China Ser. D-Earth Science 52 Pages: 562-566
  • Peer Reviewed
• [Journal Article] Application of GOCE data for regional gravity field modelling (2009)
  • Author(s): Janak J. 、Fukuda Y. 、Xu P.
  • Journal Title: Earth Planets Space 61 Pages: 835-843
  • NAID: 10029013449
  • Peer Reviewed
• [Journal Article] Iterative generalized cross-validation for fusing heteroscedastic data of inverse ill-posed problems (2009)
  • Author(s): Xu PL
  • Journal Title: Geophysical Journal International 179 Pages: 182-200
  • Peer Reviewed
• [Journal Article] Application of GOCE data for regional gravity field modeling (2009)
  • Author(s): Janak J, Fukuda Y, Xu PL
  • Journal Title: Earth Planets Space 61 Pages: 835-843
  • NAID: 10029013449
  • Peer Reviewed
• [Journal Article] Zero initial partial derivatives of satellite orbits with respect to force parameters violate the physics of motion of celestial bodies (2009)
  • Author(s): Xu PL
  • Journal Title: Science in China Series D : Earth Sciences 52 Pages: 562-566
  • Peer Reviewed
• [Journal Article] Application of GOCE data for regional gravity field modeling (2009)
  • Author(s): Janak J, Fukuda Y, Xu PL
  • Journal Title: Earth Planets Space (accepted)
  • NAID: 10029013449
  • Peer Reviewed
• [Journal Article] Position and velocity pertur-bations for the determination of geopotential from space geodetic measurements (2008)
  • Author(s): Xu P.L.
  • Journal Title: Celestial Mechanics and Dynamical Astronomy 100 Pages: 231-249
  • Peer Reviewed
• [Journal Article] Assessment of stochastic models for GPS measurements with different types of receivers (2008)
  • Author(s): Li B. 、Shen Y. 、Xu P.L.
  • Journal Title: Chinese Science Bulletin 53 Pages: 3219-3225
  • Peer Reviewed
• [Journal Article] Assessment of stochastic models for GPS measurements with different types of receivers (2008)
  • Author(s): Li BF, Shen YZ, Xu PL
  • Journal Title: Chinese Science Bulletin 53 Pages: 3219-3225
  • Peer Reviewed
• [Journal Article] Position and velocity perturbations for the determination of geopotential from space geodetic measurements (2008)
  • Author(s): Xu P.L.
  • Journal Title: Celestial Mechanics and Dynamical Astronomy 100 Pages: 231-249
  • Peer Reviewed
• [Journal Article] Estimability analysis of variance and covariance components (2007)
  • Author(s): Xu P.L. 、Liu Y.M. 、Shen Y.Z. 、Fukuda Y.
  • Journal Title: Journal of Geodesy 81 Pages: 593-602
  • Peer Reviewed
• [Journal Article] Reply to the comments by K.-R. Koch and J. Kusche (2007)
  • Author(s): Xu P.L. 、Shen Y.Z. 、Fukuda Y. 、Liu Y.M.
  • Journal Title: Journal of Geodesy 81 Pages: 633-635
  • 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 80:69-81 (2007)
  • Author(s): Xu P.L., Shen Y., Fukuda Y. & Liu Y.M.
  • Journal Title: Journal of Geodesy 81 Pages: 633-635
  • 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
• [Presentation] Study of landwater variation over Chao Phraya river basin using GRACE, satellite altimetry and in situ data (2009)
  • Author(s): Yamamoto K.、Y. Fukuda、T. Nakaegawa、M. Taniguchi
  • Organizer: 2009 AGU Fall Meeting
  • Place of Presentation: Moscone Center、San Francisco
• [Presentation] 世代の全地球衛星重力場への数理Modelling (2009)
  • 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
• [Presentation] Gravity changes associated with the 2004 Sumatra- Andaman earthquake: an interpretation of the postseismic gravity changes by SNRVEI model (2009)
  • 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
• [Presentation] Gravity Changes Associated with the 2004 Sumatra-Andaman Earthquake : An interpretation of the postseismic gravity changes by SNRVEI model (2009)
  • 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
• [Presentation] Position and velocity perturbations for thedetermination of the Earth's gravity field (2008)
  • Author(s): Xu PL
  • Organizer: European Geoscience Union
  • Place of Presentation: Convention Center
  • Year and Date: 2008-04-14
• [Presentation] Coseismic and postseismic gravity changes associated with the 2004 Sumatra Earthquake: Comparison between GRACE and SNREI model (2008)
  • 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
• [Presentation] Study of sub-basin scale groundwater variations in Asia using GRACE, satellite altimetry and in-situ data (2008)
  • Author(s): Yamamoto K.、Y. Fukuda、M. Taniguchi
  • Organizer: 2008 AGU Fall Meeting
  • Place of Presentation: Moscone Center、San Francisco
• [Presentation] Zero initial derivatives with respect to force parameters violates the physics of motion of the artificial satellites (2008)
  • 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
• [Presentation] Mathematical modelling of precise space geodetic measurements for the next generation of global gravity models (2008)
  • Author(s): Xu P.L.
  • Organizer: Western Pacific Geophys. Meeting
  • Place of Presentation: Cairns Convention Center
• [Presentation] 2006 Australian drought detected by GRACE (2008)
  • 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
• [Presentation] Gravity Changes Associated with the 2004 Sumatra-Andaman Earthquake: Comparison between GRACE data and SNREI Models (2008)
  • Author(s): Hasegawa T.、Y. Fukuda、K. Yamamoto、W. Sun
  • Organizer: European Geosciences Union General Assembly 2008
  • Place of Presentation: Austria Center Vienna
• [Presentation] Stability investigation of gradiometric inverse problems for anomalous gravity tensor components (2008)
  • Author(s): Janak, J.、P.L. Xu、Y. Fukuda
  • Organizer: European Geosciences Union General Assembly 2008
  • Place of Presentation: Austria Center Vienna
• [Presentation] Position and velocity pertur- bations for the determination of the Earth's gravity field (2008)
  • Author(s): Xu P.L.
  • Organizer: European Geosciences Union General Assembly 2008
  • Place of Presentation: Austria Center Vienna
• [Presentation] Space geodesy: a new technology to monitor climate varia- tions (2007)
  • Author(s): Fukuda Y.
  • Organizer: The 10th Kyoto University Int Symp. "Active Geosphere Science"
  • Place of Presentation: Bandung, Indonesia
• [Presentation] Ice sheet mass balance in Enderby Land, East Antarctica, inferred from GRACE, ICESat and in-situ measurements (2007)
  • Author(s): Fukuda Y.、K. Yamamoto、T. Hasegawa、K. Doi、K. Shibuya, H. Motoyama
  • Organizer: IUGG XXIV General Assembly
  • Place of Presentation: Perugia, Italy
• [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
• [Presentation] Coordinate and velocity perturbations for the determination of geopotential from space geodetic measurements (2007)
  • 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