Accurate and Rapid Determination of GOCE Earth’s Gravitational Field Using Time-Space Domain Method Associated with Kaula Regularization

详细信息   

• 责任者：Zheng Wei (Key Laboratory of Dynamic Geodesy ; Institute of Geodesy and Geophysics ; Chinese Academy of Sciences ; Wuhan 430077 ; China) ; Xu Houze
• 刊名：Chinese Journal of Geophysics
• 出版年：2011
• 卷期：54(1)
• 关键词：卫星法 ; satellite methods ; 重力场 ; gravity field
• 页码：p.14-21
• 图表：7 illus., 2 tables, 40 refs.
• 分类号：0400
• issnNo：ISSN0001-5733
• isbnNo：CN11-2074/P

摘要

The GOCE Earth’s gravitational field complete up to degree and order 250 is recovered based on the time-space domain method associated with Kaula regularization in order to study the influences of satellite gravity gradiometry on the accuracy of medium-high frequency Earth’s gravitational field recovery. The  results show: 1) the time-space domain method is an effective way to accurately and rapidly determine the high-degree Earth’s gravitational field; 2) the Kaula regularization is one of the key processes to reduce ill condition of normal matrix; 3) the large-scale linear system of equations is solved quickly using the improved pre-conditioned conjugate-gradient iterative approach, and the computing time can be reduced at least 1 000 times as compared to the direct least-squares approach; 4) at the degree 250, cumulative geoid height and gravity anomaly errors are 9.295 cm and 0.204 mGal with orbital error 1 cm and gravity gradient error 3×10^-12/s², respectively; and 5) the complementarity of high-accuracy and high-resolution Earth’s gravitational field recovery between international GRACE and GOCE missions is demonstrated.