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

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50<br />

Introduction<br />

In the reporting period from 2003 to 2007, global gravity<br />

field modelling work in Germany was focused on the<br />

exploitation of data from the German CHAMP and the<br />

US/German GRACE missions as well as on the preparations<br />

for the data analysis of the GOCE gradiometry mission by<br />

ESA. From the Champ mission, launched in July 2000, a<br />

multi-year data set became available enabling fundamental<br />

investigations on classical and new techniques for global<br />

gravity field modelling. These techniques, as well as new<br />

approaches specifically developed for the GRACE data<br />

analysis, were applied to the newly available inter-satellite<br />

tracking data from this mission. In 2005 data from the<br />

GRACE mission (launched in 2002) were released and<br />

since then extensively used by different groups in Germany<br />

in order to determine the static and time variable gravity<br />

field. For preparing the analysis of the gradiometer data<br />

from the GOCE mission (to be launched end of 2007)<br />

extensive work has been performed in various projects by<br />

a number of university and research institutes all over<br />

Germany. This preparatory work will enable these groups<br />

to quickly use this new data type for global gravity field<br />

modelling. In context with these gravity field satellite<br />

missions the issue on calibrating and validating the instruments,<br />

as well as the validation of the derived global gravity<br />

field models becomes more and more emerging. Several<br />

studies and attempts on this issue have been performed. The<br />

following chapters provide short summaries on modelling<br />

techniques, global gravity field models and model validation.<br />

They shall provide an overview of the work performed<br />

in this research field over the last four years. A few additional<br />

remarks about future prospects of global gravity field<br />

modelling are made in the final chapter. An extensive list<br />

of references is provided at the end.<br />

Modelling Techniques<br />

General Aspects: With the new satellite missions, there<br />

are available different data types to observe the gravity field<br />

from space (e.g. high-low SST, low-low SST, gravity<br />

gradients). A general overview about gravity field analysis<br />

techniques based on the different observables is given in<br />

BEUTLER et al. (2003), RUMMEL (2003a) and FLURY et al.<br />

(2006). An overview about the application of Earth gravity<br />

fields in different disciplines is given in RUMMEL (2005),<br />

ILK et al. (2004) and ILK et al. (2005d). Various dedicated<br />

geodetic techniques for gravity field determination and<br />

analysis are addressed by several authors. See papers by<br />

AUSTEN & KELLER (2007), BÖLLING & GRAFAREND (2005),<br />

Global Gravity Field Modelling<br />

T. GRUBER 1<br />

FÖLDVARY & WERMUTH (2005b), HECK (2003a) (20034a),<br />

HECK & SEITZ (2003b) (2007), HECK & WILD (2004b), ILK<br />

(2003a), ILK et al. (2007), KABAN et al. (2004) (2005),<br />

KELLER & SHARIFI (2005), KUHN & SEITZ (2004),<br />

MARINKOVIC et al. (2003), MEYER (2006), NOVAK et al.<br />

(2005), REUBELT et al. (2003a) (2003b), SCHÄFER et al.<br />

(2003), SCHNEIDER (2004) (2005a) (2006) and SCHNEIDER<br />

& CUI (2005b), SEITZ (2003), SHARIFI & KELLER (2005),<br />

SNEEUW (2003a), SVEHLA & ROTHACHER (2005), SVEHLA<br />

& FÖLDVARY (2006), TSCHERNING & HECK (2005), TSOULIS<br />

(2005). Wavelet (or multiscale) techniques for gravity field<br />

modelling are addressed by FENGLER et al. (2004c),<br />

FREEDEN et al. (2003a, 2003b), FREEDEN & MICHEL (2004),<br />

FREEDEN & SCHREINER (2005), FREEDEN & MAYER (2006),<br />

KELLER (2004), SCHMIDT M. et al. (2004, 2005, 2007). A<br />

summary on fundamental parameters and standards is given<br />

in GROTEN (2004).<br />

CHAMP: With the availability of a continuous multi-year<br />

time series of GPS observations from a low Earth orbiter<br />

to the GPS constellation dedicated analysis techniques<br />

became possible. For a summary see MAYER-GÜRR et al.<br />

(2005b) and WERMUTH et al. (2004). One can distinguish<br />

between the classical orbit perturbation approach used by<br />

REIGBER et al. (2003a) (2003b) (2003c) (2005b) (2006a),<br />

multiscale techniques applied by FENGLER et al. (2004b,<br />

2005), the energy balance approach used by FÖLDVARY et<br />

al. (2005), GERLACH et al. (2003a) (2003b), SNEEUW et al.<br />

(2003b) (2005a), VISSER et al. (2003), semi-analytical<br />

computations performed by FÖLDVARY et al. (2003), short<br />

arc techniques used by ILK et al. (2005a), MAYER-GÜRR et<br />

al. (2003a), MAYER-GÜRR (2006), the accelerations<br />

approach applied by REUBELT et al. (2006), and harmonic<br />

splines and multipole techniques done by GLOCKNER<br />

(2003). Several papers also deal with the determination and<br />

application of kinematic orbits for gravity field modelling.<br />

See GÖTZELMANN et al. (2006), SVEHLA & ROTHACHER<br />

(2005) and SVEHLA & FÖLDVARY (2006).<br />

GRACE: Similar as for CHAMP also GRACE data have<br />

been analyzed intensively and gravity field solutions have<br />

been determined by different methods. As the GRACE<br />

observation system is much more complicated some studies<br />

about sensor performance have been performed in parallel,<br />

see FACKLER (2005), FROMMKNECHT et al. (2003) (2006).<br />

Gravity field determination using GRACE data has been<br />

done by applying the following techniques: Classical orbit<br />

perturbation theory, see FLECHTNER (2003), FLECHTNER<br />

et al. (2006), REIGBER et al. (2005a), SCHMIDT R. et al.<br />

(2003, 2006), TAPLEY et al. (2007); Short arc technique,<br />

1 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

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