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中文摘要：
针对GOCE和GRACE在地球重力场反演中的频谱互补性,研究联合GOCE和GRACE重力场模型位系数的谱组合法,给出了基于位系数误差阶方差定权、误差方差定权和块对角误差协方差定权的谱组合计算公式。以GRACE重力场模型ITG-GRACE2010s和GOCE重力场模型GO_CONS_GCF_2_DIR_R1为例进行谱组合法计算。结果表明,三种谱组合方法建立的联合重力场模型精度均优于GRACE或GOCE单独求解的模型的精度,并且它们的整体精度均优于由GOCE和GRACE联合求解的GOCO01S模型的精度;基于块对角误差协方差定权的谱组合法相对最优,它考虑了同次m位系数之间的相关性。
英文摘要：
According to GOCE and GRACE are complementary in the spectrum of earth gravity field,spectral combination method combined GOCE and GRACE geopotential coefficients was studied. The spectral combination formulas are established based on the coefficients＇ error degree variance weighting,error variance weighting and block diagonal error covariance weighting. As a test,the GRACE gravity field model ITG-GRACE2010s and GOCE gravity field model GO_CONS_GCF_2_DIR_R1 are used for calculating and checking the spectral combination method. The results show that the accuracy of the combined gravity field models established by these three kinds of spectral combination methods is higher than the GRACE or GOCE＇s independent model,and their total accuracy is superior to GOCO01S model which is based on GOCE and GRACE. Spectral combination method based on the block diagonal error covariance weighting is relatively optimal in these three kinds of weighting schemes,because it considers the correlation among the coefficients of same order m.
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