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

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M. Thomas, M. Soffel, H. Drewes: Earth Rotation – Theory and Analysis 91<br />

and KUTTERER (2005) performed a sensitivity study revealing<br />

that the pole tide Love number k 2 is the most critical<br />

parameter, while the dependence on other parameters is<br />

marginal.<br />

2.2 Excitation of earth rotation by geophysical fluids<br />

ENDLER (2007) investigated the relationship between<br />

interannual variations in Length of Day (LOD) and selected<br />

El Nino/Southern Oscillation (ENSO) events. The study<br />

confirms that changes in the atmospheric angular momentum<br />

due to zonal winds are well correlated with LOD<br />

variability on timescales varying between several days and<br />

years. Strong correlations (at the 99% significance level)<br />

between the interannual amplitudes of LOD and the atmospheric<br />

wind term with sea-surface temperatures and<br />

selected ENSO indices clearly demonstrate a significant<br />

relation between interannual LOD variability, zonal atmospheric<br />

wind anomalies and the ENSO phenomenon.<br />

Although the overall correlation between LOD and ENSO<br />

is significantly varying in time depending on specific<br />

characteristics of the individual ENSO event, there is<br />

evidence that observed variations in the amplitude of LOD<br />

can be used as an indication for changes in the low and high<br />

frequency spectrum of hemispheric circulation systems led<br />

off by warm ENSO events. (LEHMANN et al., 2007).<br />

SEITZ et al. (2005) and STUCK et al. (2005) investigated the<br />

role of atmospheric and oceanic dynamics in exciting polar<br />

motion in the annual and Chandler wobble frequency band<br />

by means of simulations with the gyroscopic model<br />

DyMEG consistently forced with output from the atmospheric<br />

climate model ECHAM and the ocean model<br />

OMCT. According to STUCK et al. (2005), the annual<br />

oscillation of polar motion is predominantly due to atmospheric<br />

pressure forcing, while the motion component is<br />

less important. A regional statistical analysis of AAM<br />

turned out that strong annual pressure variations over Asia,<br />

in particular at the Himalayas, is the primary component<br />

responsible for accelerating forced polar motion. Both<br />

STUCK et al. (2005) as well as SEITZ et al. (2005) came to<br />

the conclusion that stochastic processes in atmosphere and<br />

ocean are sufficient to excite the Chandler wobble. Neither<br />

a significant nor at least an increased signal in the frequency<br />

domain of 14 to 16 months was found and regional statistical<br />

analysis of angular momentum gave no hint for an<br />

oscillation with a typical timescale of 14 to 16 months. This<br />

is in agreement with the findings of THOMAS et al. (2005)<br />

who calculated power spectral densities from effective<br />

angular momentum functions deduced from various<br />

consistent model combinations (NCEP/MIT, NCEP/ECCO,<br />

ECHAM/OMCT). The investigated model combinations<br />

led to similar excitation power in the Chandler frequency<br />

band always exceeding the observed power.<br />

The impact of oceanic mass redistributions due to pressure<br />

loading of atmospheric tides and gravitational tides at<br />

frequencies S1 and S2 was estimated by THOMAS et al.<br />

(2007) by means of simulations with OMCT driven by<br />

operational atmospheric data provided by ECMWF. The<br />

study demonstrates that ECMWF's 3-hourly forecasts can<br />

be used to represent atmospheric mass redistributions and<br />

corresponding oceanic responses down to semidiurnal<br />

timescales and, consequently, to determine short-term<br />

effects of the atmosphere-ocean system on earth's rotation.<br />

In contrast to, e.g., altimetry observations, the applied<br />

method principally allows a separation of effects due to<br />

gravitational and pressure tides.<br />

From simulations with the Hydrological Discharge Model<br />

(HDM) WALTER (2005) deduced hydrologically induced<br />

excitations of earth rotation on seasonal to decadal timescales.<br />

Although the model simulations were higly sensitive<br />

to applied atmospheric forcing conditions, the results<br />

generally agreed with respect to the annual excitation of<br />

LOD, suggesting that about 25 :s of the annual amplitude<br />

have to be attributed to hydrological mass redistributions.<br />

Applying the high-resolving unconstrained ocean model<br />

TiME forced by the complete lunisolar tidal potential<br />

derived from ephemerides, WEIS (2006) estimated the effect<br />

of several partial tides and shallow-water tides on earth<br />

rotation. Although the unconstrained model generally<br />

overestimates tidal amplitudes, the high-resolving real-time<br />

model agreed better with data assimilation models than<br />

partial tide model approaches. The total energy dissipated<br />

by the complete tidal oscillation system was estimated by<br />

WEIS (2006) to be 4.8 TW; the contribution of ocean tides<br />

to tidal friction was calculated to be 4.1 TW, while other<br />

recent studies agree on a lower value of 3.0 TW. However,<br />

some less significant partial tides, which had not been<br />

included in any modelling study, so far, were in excellent<br />

correspondence with results from both VLBI and GPS<br />

measurements with correlations of 90-96%. The effects of<br />

shallow-water tides on UT1 and polar motion turned out<br />

to be about three orders of magnitude lower than major<br />

astronomical partial tides, but should be above the detection<br />

limit of modern observation techniques within the near<br />

future.<br />

2.3 Internal processes<br />

One part of the earth rotation theory concerns the modelling<br />

of the influence of core processes (e.g. fluid motions,<br />

electromagnetic forces) on the earth’s rotation. To this<br />

regard, GREINER-MAI et al. (2003) gave an outline about<br />

appropriate methods, results and unsolved problems.<br />

To determine core motions and coupling torques from the<br />

geomagnetic field, it is necessary to extend the geomagnetic<br />

field from the earth’s surface to the core-mantle boundary<br />

through an electrically conducting mantle. To solve this<br />

problem, a new inversion method for the induction equation<br />

of the mantle was developed until 2002. GREINER-MAI et<br />

al. (2004) have extended this method for determining the<br />

geomagnetic field in a differentially rotating upper core<br />

layer.<br />

GREINER-MAI et al. (2003) discussed a kinematical model<br />

of forced inner-core wobble (ICW) by which the decadal<br />

variations of polar motion may be explained. Complementary,<br />

GUO et al. (2005a) checked the detectability of a free<br />

ICW with a period of about 6 years in the measured variations<br />

of the gravity field and polar motion. They found no<br />

firm evidence of the ICW in polar motion data used, which<br />

have an accuracy of few milliarc seconds.

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