Abstract

The European Space Agency Gravity field and steady-state Ocean Circular Explorer (GOCE) carries a gradiometer consisting of three pairs of accelerometers in an orthogonal triad. Precise GOCE science orbit solutions (PSO), which are based on satellite-to-satellite tracking observations by the Global Positioning System and which are claimed to be at the few cm precision level, can be used to calibrate and validate the observations taken by the accelerometers. This has been done for each individual accelerometer by a dynamic orbit fit of the time series of position co-ordinates from the PSOs, where the accelerometer observations represent the non-gravitational accelerations. Since the accelerometers do not coincide with the center of mass of the GOCE satellite, the observations have to be corrected for rotational and gravity gradient terms. This is not required when using the so-called common-mode accelerometer observations, provided the center of the gradiometer coincides with the GOCE center of mass. Dynamic orbit fits based on these common-mode accelerations therefore served as reference. It is shown that for all individual accelerometers, similar dynamic orbit fits can be obtained provided the above-mentioned corrections are made. In addition, accelerometer bias estimates are obtained that are consistent with offsets in the gravity gradients that are derived from the GOCE gradiometer observations.

Highlights

  • The Gravity field and steady-state Ocean Circulation Explorer (GOCE) is the first European Space Agency (ESA) earth explorer, launched on March 11, 2009

  • GOCE is equipped with a drag-free control (DFC) system that compensates the non-gravitational forces in the direction of the gradiometer reference frame (GRF) X axis to below a level of just a few nm/s2 in terms of acceleration

  • A methodology that was developed before the launch of GOCE for estimating biases of all individual accelerometers was successfully implemented and applied to the real accelerometer observations for the full mission period

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Summary

Introduction

The Gravity field and steady-state Ocean Circulation Explorer (GOCE) is the first European Space Agency (ESA) earth explorer, launched on March 11, 2009. Its primary mission objective was to map the Earth’s mean gravity field with a precision of 1 mgal and 1 cm in terms of gravity anomalies and geoid heights, respectively, for spatial scales better than 100 km (Drinkwater et al 2007) To this aim, GOCE was equipped with a gradiometer, consisting of an orthogonal triad of three pairs of accelerometers, a high-precision dual-frequency Global Positioning System (GPS) receiver, star trackers, and ion engines as part of a drag-free control (DFC) system. Several procedures and methods were defined and used to calibrate the satellite gravity gradient (SGG) observations (Rispens and Bouman 2009; Siemes et al 2012) These SGG observations are derived from the observations collected by the gradiometer’s six accelerometers. The calibrated SGG observations, still include (drifting) offsets or biases

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