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利用CHAMP卫星几何法轨道恢复地球重力场模型
引用本文:徐天河,杨元喜.利用CHAMP卫星几何法轨道恢复地球重力场模型[J].地球物理学报,2005,48(2):288-293.
作者姓名:徐天河  杨元喜
作者单位:西安测绘研究所,西安,710054;西安测绘研究所,西安,710054
基金项目:国家自然科学基金项目 (4 0 2 740 0 2、40 4740 0 1),建设部项目 (10 4 2 0 15 )资助
摘    要:介绍了利用CHAMP几何法轨道恢复地球重力场模型的基本原理和算法,提出了基于牛顿数值微分公式并辅助移去-恢复方法计算卫星速度的算法.利用现有重力场模型标定CHAMP加速度计数据的差分算法,采用Technical University of Munich(TUM)提供的CHAMP几何法轨道,计算出了三组50×50地球重力场模型.与GRIM5_C1、EIGEN_1S和EIGEN_2模型的比较表明,无论位系数差值阶方差或大地水准面差值,恢复出的模型与EIGEN_2模型都最接近.利用北极实测重力数据对上述模型进行了检验,结果显示,本文得到的三组模型均优于GRIM5_C1模型,且与EIGEN_1S、EIGEN_2模型精度相当.

关 键 词:卫星重力  能量守恒  移去-恢复  几何法轨道
文章编号:0001-5733(2005)02-0288-06
收稿时间:2004-07-27
修稿时间:2004-10-21

CHAMP gravity field recovery using kinematic orbits
XU Tian-he,YANG Yuan-xi.CHAMP gravity field recovery using kinematic orbits[J].Chinese Journal of Geophysics,2005,48(2):288-293.
Authors:XU Tian-he  YANG Yuan-xi
Institution:Xi' an Research Institute of Surveying and Mapping, Xi' an 710054, China
Abstract:A global gravity field recovery based on energy balance approach using CHAMP kinematic orbits is presented. A method combining the Newton's numerical differential formula and the remove-restore procedure for determining kinematic velocities is developed. Three global gravity field models with 50 degree and order grids are recovered using CHAMP kinematic orbits provided by Technical University of Munich (TUM). The comparisons with GRIM5-C1, EIGEN-1S and EIGEN-2 indicate that the recovered models are in good agreement EIGEN-2 with degree variance of difference as well as geoid difference. The assessments on these models using Arctic gravity anomalies data show that they have nearly the same quality with EIGEN-1S and EIGEN-2, and perform better than GRIM5-C1.
Keywords:Satellite gravity  Energy conservation  Remove-restore  Kinematic orbit
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