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《Chinese Journal of Geophysics》 2012-10
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Demonstration on the design of filter indexes of inter-satellite high accuracy ranging system for gravity satellite

KANG Kai-Xuan1,2,LI Hui1,2,WU Yun-Long1,2,3,ZOU Zheng-Bo1,2,3,XING Le-Lin1,2,3 1 Institute of Seismology,China Earthquake Administration,Wuhan 430071,China 2 Crustal Movement Laboratory,Wuhan 430071,China 3 School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China  
In order to value the sensitivity of inter-satellite ranging measurements related to gravity field for the satellite-to-satellite tracking model,sensitivity matrix analysis,which is a method of estimating the influence of input parameters on the system model,is applied in this paper.For the inter-satellite high accuracy ranging measurements of gravity satellite,we describe the theory of spectrum analysis of sensitivity matrix for inter-satellite ranging measurements,calculate main sensitivity matrix based on the Kepler satellite orbit for GRACE,analyze the spectrum characteristic of sensitivity matrix for different degree coefficients of gravity field,and explain our results in view of the character of Legendre functions and spherical harmonic functions.In addition,in order to prove the conclusion on spectrum characteristic we simulate several main sensitivity factors for inter-satellite ranging measurements based on gravity field of independent n degree m order spherical harmonic functions and find good agreement between our simulated models and theory models.Considering the effects of conservative force,non-conservative force and inter-satellite measurement noise,we discuss the effective frequency band of inter-satellite ranging measurements in which the gravity field signal is contained,and get the conclusion that for n degree gravity field the upper limit of effective frequency band is due to the spectrum of sensitivity matrix of n degree zonal spherical harmonics.Based on the results of gravity signal band,we demonstrate the design of low-pass filter indexes,such as cut frequency of pass-band,gain ripple specifications of pass-band and frequency sample rate,and show the design for current GRACE mission,future GRACE Follow-on mission and our national gravity satellite mission in details.Our results are based on the spectral relationship between sensitivity matrix for inter-satellite ranging measurements and gravity potential,improving the previous methods which are mainly based on the high-frequency noise of inter-satellite ranging measure meters.The results of this paper are able to be applied in the design of the major technique indexes for our future gravity satellite mission.
【Fund】: 国家自然科学基金(41004030 40704009);; 武汉大学地球空间环境与大地测量教育部重点实验室开放研究基金(10-01-09);; 全国重力台网学科中心运行经费(201101008)项目资助
【CateGory Index】: P223
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