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

下一代全球卫星重力场前沿数学模型

• 批准号: 19340129
• 负责人: XU Peiliang
• 金额: $ 11.23万
• 依托单位: Kyoto University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2007
• 资助国家: 日本
• 起止时间: 2007 至 2009
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19340129/
• 关键词: 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

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.

本研究计画旨在探讨下一代全球卫星重力模式之数学前沿问题。[1]我们成功地发展了一种新的位置和速度摄动理论，它可以自动地合并任何类型的数据，具有前所未有的高精度和连续性，并且易于修改以满足未来的数据需求。[2]我们已经开发了一种新的理论，用于结合不同类型的数据进行卫星重力逆映射; [3]我们已经建立并深化了对GPS中使用的混合整数线性模型的研究。

项目成果

Coseismic and postseismic gravity changes associated with the 2004 Sumatra Earthquake: Comparison between GRACE and SNREI model

与 2004 年苏门答腊岛地震相关的同震和震后重力变化：GRACE 和 SNREI 模型之间的比较

• 发表时间: 2008
• 作者: Hasegawa T.;Y. Fukuda;G. Fu;W. Sun;J. Okuno;K. Yamamoto
• 通讯作者: K. Yamamoto

Ice sheet mass balance in Enderby Land, East Antarctica, inferred from GRACE, ICESat and in-situ measurements

根据 GRACE、ICESat 和现场测量推断东南极洲恩德比地的冰盖质量平衡

• 发表时间: 2007
• 作者: Fukuda Y.、K. Yamamoto、T. Hasegawa、K. Doi、K. Shibuya;H. Motoyama
• 通讯作者: H. Motoyama

in: Handbook of Geomathematics, W. Freeden, Z. Nashed and T. Sonar (eds)

见：《地球数学手册》，W. Freeden、Z. Nashed 和 T. Sonar（编辑）

• 发表时间: 2010
• 期刊: Springer (accepted and to appear in summer)
• 作者: M. Kambe;Y. Ueda;M. Ohmi;M. Haruna and S. Kinoshita;A. Sano;Xu P.L.
• 通讯作者: Xu P.L.

Iterative generalized cross-validation for fusing heteroscedastic data of inverse ill-posed problems

• DOI: 10.1111/j.1365-246x.2009.04280.x
• 发表时间: 2009-10
• 期刊: Geophysical Journal International
• 影响因子: 2.8
• 作者: Peiliang Xu

Application of GOCE data for regional gravity field modelling

GOCE数据在区域重力场建模中的应用

• 发表时间: 2009
• 期刊: Earth Planets Space 61
• 作者: Janak J. ;Fukuda Y. ;Xu P.
• 通讯作者: Xu P.