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NATIONAL REPORT OF THE FEDERAL REPUBLIC OF ... - IAG Office

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Introduction<br />

At the end of the last century temporal variations of the<br />

Earth gravity field could only be derived for the very long<br />

wavelengths up to degree and order 2 and for some low<br />

degree zonal coefficients on an approximately weekly basis<br />

primarily by analysis of Lageos Satellite Laser Ranging<br />

(SLR) data. Since the launch of the German CHAMP<br />

(Challenging Mini-Satellite Payload for Geophysical<br />

Research and Application) satellite mission in July 2000<br />

also high-low satellite-to-satellite tracking (SST) data have<br />

been exploited to monitor annual and semi-annual gravity<br />

variations on smaller spatial scales down to about 5000 km.<br />

The US-German Gravity Recovery and Climate Experiment<br />

(GRACE), launched in March 2002 and performing lowlow<br />

SST observations with micrometer level accuracy,<br />

revolutionized our knowledge of the Earth gravity field.<br />

Today, not only the static gravity field can be determined<br />

with unprecedented accuracy but, for the first time,<br />

temporal variations at shorter wavelengths up to approximately<br />

degree and order 35 to 40 are traceable, thus allowing<br />

for the quantification of mass distribution and mass variations<br />

within the Earth system with monthly and even submonthly<br />

(e.g. 10-days) temporal resolution. Based on<br />

currently about 5-years worth of GRACE mission data a<br />

new era for basic studies on quantities of the Earth system<br />

such as the continental hydrological cycle, the ice mass<br />

balance in Greenland and Antarctica, the steric and massrelated<br />

contribution to sea level rise or the inter-annual<br />

ocean mass variation has been opened. This also led to the<br />

implementation of a special priority program “Mass transport<br />

and mass distribution in the Earth system” (ILK et al.,<br />

2004, 2005) by the German Research Foundation.<br />

Temporal Gravity Variations from SLR, GPS and<br />

CHAMP<br />

KÖNIG et al. (2005) estimated dynamic orbits and Earth<br />

system parameters from a combined GPS (ground data) and<br />

LEO data analysis. It could be shown that especially the<br />

accuracy of reference frame and low degree gravity field<br />

parameters benefits from such integrated analysis when<br />

compared to solutions where the GPS ground data and the<br />

LEO data is exploited in consecutive, but separate data<br />

analysis steps. These investigations were motivated by the<br />

work of ZHU et al. (2004) where the potential advantages<br />

of an integrated adjustment of CHAMP, GRACE and GPS<br />

ground data for the estimation of orbit, ground station and<br />

Temporal Gravity Field Variations<br />

F. FLECHTNER 1 , T. GRUBER 2 , R. SCHMIDT 1<br />

1 Frank Flechtner / Roland Schmidt: GeoForschungsZentrum Potsdam (GFZ), c/o DLR, D-82234 Wessling, Germany, Tel. +49 - 8153 -<br />

28-1735, Fax +49 - 8153 - 288-1297, e-mail flechtne@gfz-potsdam.de / rschmidt@gfz-potsdam.de<br />

2 Thomas Gruber: Institut für Astronomische und Physikalische Geodäsie, Technische Universität München, Arcisstraße 21,<br />

D-82290 München, Germany, Tel. +49 - 89 - 289-23192, Fax +49-89-289-23178, e-mail Thomas.Gruber@bv.tu-muenchen.de<br />

65<br />

static and time variable gravity field parameters were<br />

demonstrated for the first time.<br />

A first insight into the annual and semi-annual variability<br />

of the gravity field on spatial scales of some thousand km<br />

was gained from the analysis of CHAMP data based on the<br />

dynamic orbit determination method as described in<br />

REIGBER et al. (2003a) and REIGBER et al. (2005). SNEEUW<br />

et al. (2003 and 2005) analysed the time-variability of<br />

CHAMP-derived spherical harmonic coefficients using<br />

kinematic orbits and the energy balance approach.<br />

Tidal and Non-tidal Atmospheric and Oceanic Short-<br />

Term Mass Variations<br />

Short- and long-term gravity field variations due to halfdaily,<br />

daily and long-periodic atmospheric and oceanic tides<br />

as well as non-tidal atmospheric and oceanic mass variations<br />

on hourly and daily scales have to be taken into<br />

account in the gravity recovery based on modern satellite<br />

gravity data from CHAMP, GRACE and GOCE. For<br />

CHAMP and GRACE such gravity variations are typically<br />

reduced during the orbit integration as a priori information<br />

to “de-alias” the corresponding monthly and long-term<br />

static gravity field results (FLECHTNER, 2003). In the case<br />

of GOCE gradiometer data the atmospheric and oceanic<br />

signal is directly corrected at the level gradiometer measurements<br />

to de-alias such signals in the GOCE-based estimates<br />

of the static field (GRUBER and PETERS, 2003). WIEHL and<br />

DIETRICH (2005) investigated the influence of the orbital<br />

sampling and the instrument parameterization of CHAMP<br />

and GRACE on the derived time-variable gravity field<br />

signals.<br />

In this context, BIANCALE and BODE (2006) developed<br />

mean annual and seasonal atmospheric tide models based<br />

on 3-hourly and 6-hourly ECMWF surface pressure data,<br />

thus extending the limited set of available atmospheric tide<br />

models. In order to study the impact of uncertainties in<br />

ocean tidal models, one known source of spurious gravity<br />

signals in GRACE-only gravity models (“striping”), in<br />

WÜNSCH et al. (2005) a simulation study was carried out,<br />

using the difference of two ocean tide models as a proxy<br />

of such model errors. FLECHTNER et al. (2006) described<br />

the operational GRACE Level-1B atmosphere and ocean<br />

de-aliasing product (AOD1B) which is based on 6-hourly<br />

operational ECMWF meteorological data and a barotropic<br />

or a baroclinic ocean model. AOD1B is used to de-alias<br />

short-term non-tidal mass variations in the monthly GRACE

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