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《Chinese Journal of Geophysics》 2012-03
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Impacts of interpolation formula,correlation coefficient and sampling interval on the accuracy of GRACE Follow-On intersatellite range-acceleration

ZHENG Wei1,HSU Hou-Tse1,ZHONG Min1,YUN Mei-Juan2 1 State Key Laboratory of Geodesy and Earth′s Dynamics,Institute of Geodesy and Geophysics,Chinese Academy of Sciences, Wuhan 430077,China 2 Department of Applied Physics,Wuhan University of Science and Technology,Wuhan 430081,China  
The studies of the impacts of the interpolation formula,correlation coefficient and sampling interval on the accuracies of the GRACE Follow-On intersatellite range-acceleration are developed using the Intersatellite Range-Acceleration Method(IRAM).The results of numerical simulation show: Firstly,the interpolation accuracy can be efficiently improved with appropriately increasing the number of the interpolation points from the numerical differential formula.The interpolation error of intersatellite range-acceleration is 4.401×10-13 m·s-2 using the nine-point Newton′s interpolation formula,and errors are enhanced 1.192 times,6.912 times and 274.029 times based on the seven-point,five-point,three-point interpolation formulas,respectively.Secondly,the error of intersatellite range-acceleration is observably decreased with the proper increase of the correlation coefficients.The variance of intersatellite range-acceleration is 3.777×10-24 m2·s-4 using a correlation coefficient of 0.99,and the variances are respectively increased 9.780 times,22.404 times,26.217 times and 26.820 times based on the correlation coefficients 0.90,0.70,0.50 and 0.00.Thirdly,with increasing sampling intervals,the variances of intersatellite range-acceleration are gradually decreased,however,the spatial resolution of satellite observations will be simultaneously reduced.Therefore,the accuracy of the Earth′s gravitational field can be improved due to an preferred selection of sampling intervals.Finally,the Earth′s gravitational field from GRACE Follow-On complete up to degree and order 120 is accurately and rapidly recovered using the nine-point Newton′s interpolation formula,correlation coefficients(0.85 in intersatellite range and intersatellite range-rate,0.95 in orbital position and orbital velocity,and 0.90 in non-conservative force) and a sampling interval of 10 s based on the Pre-Conditioned Conjugate-Gradient(PCCG) approach,and the cumulative geoid height error is 4.602×10-4 m at degree 120.
【Fund】: 中国科学院知识创新工程重要方向青年人才项目(KZCX2-EW-QN114);中国科学院计算地球动力学重点实验室开放基金(2011-04);中国科学院动力大地测量学重点实验室开放基金(L09-14);中国科学院测量与地球物理研究所知识创新工程领域前沿项目;; 国家自然科学基金青年项目(41004006);; 重点项目(41131067);; 国家留学人员科技活动项目择优资助基金(2011);; 湖北省自然科学基金(2010CDB05301);; 中国测绘科学研究院地理空间信息工程国家测绘地理信息局重点实验室开放基金(201031);; 西南石油大学油气藏地质及开发工程国家重点实验室开放基金(PLN1113);; 湖北省耐火材料与高温陶瓷重点实验室-省部共建国家重点实验室培育基地开放基金(G201009)联合资助
【CateGory Index】: P223
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