Matching Relationship between Precisions of Gravity Anomaly and Vertical Deflections in terms of Spherical Harmonic Function

doi:10.11947/j.AGCS.2017.20160414

Abstract

Abstract: Gravity anomalies and vertical deflections are important products of altimetry satellites. The precision indexes of them are essential for the design of future altimetry satellites. In this paper, the spherical harmonic function is used to discuss the precisions of gravity anomaly and vertical deflections. Firstly, the approximate matching relationship between gravity anomaly and vertical deflection error is deduced theoretically. Then, six ultra-high degree gravity field models are used to verify the correctness of the conclusions. The results of numerical experiments show that the errors of vertical defections and gravity anomaly satisfy the approximate proportional relation, that is, if the precision of vertical deflection is 1 μ rad, the precision of gravity anomaly is about 1.4 mGal. Conversely, if the precision of the gravity anomaly is 1 mGal, the precision of the corresponding vertical deflection is about 0.7 μ rad.

Key words: gravity anomaly, vertical deflections, precision, matching relationship

CLC Number:

P228

WAN Xiaoyun, ZHANG Running, LI Yang, LIU Bo, SUI Xiaohong. Matching Relationship between Precisions of Gravity Anomaly and Vertical Deflections in terms of Spherical Harmonic Function[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(6): 706-713.

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