Abstract

A new approach to recover time-variable gravity fields from satellite laser ranging (SLR) is presented. It takes up the concept of lumped coefficients by representing the temporal changes of the Earth’s gravity field by spatial patterns via combinations of spherical harmonics. These patterns are derived from the GRACE mission by decomposing the series of monthly gravity field solutions into empirical orthogonal functions (EOFs). The basic idea of the approach is then to use the leading EOFs as base functions in the gravity field modelling and to adjust the respective scaling factors straightforward within the dynamic orbit computation; only for the lowest degrees, the spherical harmonic coefficients are estimated separately. As a result, the estimated gravity fields have formally the same spatial resolution as GRACE. It is shown that, within the GRACE time frame, both the secular and the seasonal signals in the GRACE time series are reproduced with high accuracy. In the period prior to GRACE, the SLR solutions are in good agreement with other techniques and models and confirm, for instance, that the Greenland ice sheet was stable until the late 1990s. Further validation is done with the first monthly fields from GRACE Follow-On, showing a similar agreement as with GRACE itself. Significant differences to the reference data only emerge occasionally when zooming into smaller river basins with strong interannual mass variations. In such cases, the approach reaches its limits which are set by the low spectral sensitivity of the SLR satellites and the strong constraints exerted by the EOFs. The benefit achieved by the enhanced spatial resolution has to be seen, therefore, primarily in the proper capturing of the mass signal in medium or large areas rather than in the opportunity to focus on isolated spatial details.

Highlights

  • Since decades, laser ranging to passive spherical satellites contributes to the monitoring of the Earth’s rotation and the establishing and maintenance of global reference systems

  • The approach presented in this study is entirely based on the assumption that the monthly gravity fields from Gravity Recovery and Climate Experiment (GRACE) are consistent with the satellite laser ranging (SLR) observations

  • 4.9 4.7 4.7 5.5 ences to GRACE are smallest when the solution is based on the empirical orthogonal functions (EOFs) alone and increase with each spherical harmonics degree estimated in addition

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Summary

Introduction

Laser ranging to passive spherical satellites contributes to the monitoring of the Earth’s rotation and the establishing and maintenance of global reference systems. The launch of such satellites, beginning with Starlette in 1975, was motivated by geophysical questions, among them the measuring and understanding of long period variations of the gravity field (Pearlman et al 2019). Throughout the 1980s and 1990s, a multitude of studies was dedicated to this topic, mostly applying classical perturbation theory and focusing on low-degree zonal harmonics which are best accessible from this type of analysis.

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Development of the method
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G R AC max
Implementation and validation with GRACE and GRACE Follow-On
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Regional case studies
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Greenland
Antarctica
River basins
Findings
Conclusions
Full Text
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