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

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92 Commission 3 – Earth Rotation and Geodynamics<br />

3. Combination of different observation techniques<br />

Earth orientation parameters (EOP) based on homogeneous<br />

and continuous VLBI and GPS data were consistently<br />

combined by THALLER et al. (2006b) using techniquespecific<br />

datum-free normal equation systems. Especially<br />

the rigorous combination of UT1-UTC and LOD delivered<br />

by VLBI and GPS revealed that both techniques perfectly<br />

complement each other and the applied combination did<br />

not suffer from systematic effects present in the GPSderived<br />

LOD values. The local geodetic ties between GPS<br />

and VLBI antennas generally play an essential role within<br />

the inter-technique combination. Several studies already<br />

disclosed non-negligible discrepancies between terrestrial<br />

measurements and space-geodetic solutions. THALLER et<br />

al. (2006b) demonstrated to what extent these discrepancies<br />

propagate into the combined EOP solution.<br />

An overview of the combination studies performed by the<br />

Forschungseinrichtung Satellitengeodäsie der TU München<br />

(FESG) and the Deutsches Geodätisches Forschungsinstitut<br />

(DGFI) based on the data of the continuous IVS campaign<br />

CONT02 was given by THALLER et al. (2006a). The cooperation<br />

of the two institutions established the basis for<br />

a detailed adaption of GPS and VLBI software concerning<br />

models and parameterization to avoid systematic differences<br />

between the technique contributions. Regarding sub-daily<br />

earth rotation parameters the study emphasizes that a<br />

combination of the space techniques improves the results<br />

compared to single-technique solutions significantly.<br />

Furthermore, THALLER et al. (2006a) described a combination<br />

scheme for long sub-daily EOP time series from VLBI<br />

and GPS removing the weakness of UT1 estimations of<br />

satellite techniques and, consequently, offering the opportunity<br />

to study sub-daily tidal excitations and the influence<br />

of high-frequency or episodic geophysical effects on earth<br />

rotation.<br />

In a joint effort the Technical Universities of Munich and<br />

Dresden performed a reprocessing of a global GPS network<br />

over the last decade in order to dispose existing inhomogeneities<br />

and inconsistencies of GPS time series of global<br />

geodetic parameters due to changes at the individual<br />

International GNSS Service Analysis Centers hampering<br />

geophysical interpretations of these long time series.<br />

According to STEIGENBERGER et al. (2006), first results of<br />

the reprocessing of 11 years of data showed significant<br />

improvements in the quality and homogeneity of estimated<br />

parameters, and formal errors of sub-daily earth rotation<br />

parameters could be reduced by 30%. In addition, advanced<br />

modelling approaches of second- and third-order ionospheric<br />

corrections and absolute antenna phase center<br />

corrections for receivers and satellites were tested to<br />

achieve further improvements.<br />

4. Analysis and prediction<br />

Results of the analysis of earth rotation data derived from<br />

the continuous VLBI campaign CONT02 were presented<br />

by HAAS and WÜNSCH (2006). Regarding high-frequency<br />

variations, 40-60% of polar motion and about 80% of UT1<br />

could be explained by the ocean tide model of Ray. The<br />

remaining residuals were found to be on the level of several<br />

tens of micro-arcseconds. So far, they cannot be reproduced<br />

completely by models based on non-tidal angular momentum,<br />

atmospheric tides and luni-solar torques acting on the<br />

tri-axial earth. However, the diurnal signal detected in polar<br />

motion residuals could partly be explained by models due<br />

to non-tidal angular momentum and atmospheric tides. In<br />

the residuals of polar motion from CONT02 the authors<br />

identified third-diurnal variations close to the S3 tide constituent<br />

with retro- and pro-grade amplitudes on the order<br />

of 40 mas, what is much larger than predictions based on<br />

atmospheric effects. With respect to the diurnal frequency<br />

band in UT1 the agreement between theoretical models and<br />

observations was also poor and the empirical values were<br />

generally larger than the modeled ones.<br />

GUO et al. (2005b) investigated the double peak of the<br />

Chandler wobble (CW) in the spectrum of polar motion by<br />

comparing the polar motion data series (annual wobble<br />

removed) with a synthetic double-frequency CW time<br />

series. They observed a reasonable agreement between their<br />

peak times, which is an argument for the hypothesis of a<br />

double frequency CW, but is inconclusive with regard to<br />

whether the CW really has two frequencies. For the determination<br />

of the spectral properties of polar motion data a<br />

folding averaging algorithm (FAA) presented by GUO et<br />

al. (2005c) was used.<br />

By means of an adaptive network based fuzzy inference<br />

system (ANFIS), AKYILMAZ and KUTTERER (2003, 2004)<br />

studied the short-term prediction of earth rotation parameters<br />

up to 40 days into the future; applying a similar<br />

approach, AKYILMAZ and KUTTERER (2005) extended the<br />

prediction period to one year. After removing well-known<br />

influences such as solid earth and ocean tide effects as well<br />

as seasonal atmospheric variations from the daily time<br />

series ERP C04 provided by IERS, the residual values were<br />

used for both training, i.e., optimization of parameters, and<br />

validation, i.e., comparison of predicted data with independent<br />

observed data, of the network. A comparison of<br />

predicted LOD and polar motion values with corresponding<br />

results from other methods, e.g., artificial neural networks<br />

(ANN), revealed root-mean-square errors which were equal<br />

or even lower than those from the other considered<br />

methods. The authors emphasized that the advantage of the<br />

applied prediction method lies not only in the high precision,<br />

but also in a comparatively easy handling. However,<br />

despite its significantly reduced complexity, ANFIS<br />

modelling is still more complicated than several other<br />

methods, such as, for example, the one used in the IERS<br />

EOP service.<br />

References<br />

AKYILMAZ O., KUTTERER H. (2003): Prediction of earth orientation<br />

parameters by fuzzy inference systems. DGFI Report,<br />

No. 75, München.<br />

AKYILMAZ O., KUTTERER H. (2004): Prediction of earth rotation<br />

parameters by fuzzy inference systems. Journal of Geodesy,<br />

Vol. 78/1-2, S. 82-93.<br />

AKYILMAZ O., KUTTERER H. (2005): Fuzzy inference systems for<br />

the prediction of earth rotation parameters. In: Sanso, F.

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