Assessment of periodic sub-diurnal Earth rotation variations at tidal frequencies through transformation of VLBI normal equation systems

Artz, Thomas; Böckmann, S.; Nothnagel, A.

doi:10.1007/s00190-011-0457-z

Cited by 19 publications

(35 citation statements)

References 33 publications

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“…The long period nutation could be estimated either in standard way as time series of the celestial pole offsets, or as demodulated diurnal retrograde component of polar motion. Böhm et al (2012b) verified reliability of the high frequency components of the EOP demodulated by VieVS CD by estimating amplitudes and phases of harmonic components at tidal periods (diurnal/semidiurnal) and comparing them to the IERS Conventions 2010 model (IERS, 2010) and to the recent empirical solution from VLBI data derived by Artz et al (2011). Further investigation of high frequency EOP signals demodulated by VieVS CD, including spectral analysis of irregular nontidal residua, was performed by Brzeziński and Böhm (2012).…”

Section: Introductionmentioning

confidence: 86%

Complex Demodulation in Monitoring Earth Rotation by VLBI: Testing the Algorithm by Analysis of Long Periodic EOP Components

Wielgosz

Brzeziński

Böhm

2016

Artificial Satellites

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ABSTRACT.The complex demodulation (CD) algorithm is an efficient tool for extracting the diurnal and subdiurnal components of Earth rotation from the routine VLBI observations (Brzeziński, 2012). This algorithm was implemented by Böhm et al (2012b) into a dedicated version of the VLBI analysis software VieVs. The authors processed around 3700 geodetic 24-hour observing sessions in 1984.0-2010.5 and estimated simultaneously the time series of the long period components as well as diurnal, semidiurnal, terdiurnal and quarterdiurnal components of polar motion (PM) and universal time UT1. This paper describes the tests of the CD algorithm by checking consistency of the low frequency components of PM and UT1 estimated by VieVS CD and those from the IERS and IVS combined solutions. Moreover, the retrograde diurnal component of PM demodulated from VLBI observations has been compared to the celestial pole offsets series included in the IERS and IVS solutions. We found for all three components a good agreement of the results based on the CD approach and those based on the standard parameterization recommended by the IERS Conventions (IERS, 2010) and applied by the IERS and IVS. We conclude that an application of the CD parameterization in VLBI data analysis does not change those components of EOP which are included in the standard adjustment, while enabling simultaneous estimation of the high frequency components from the routine VLBI observations. Moreover, we deem that the CD algorithm can also be implemented in analysis of other space geodetic observations, like GNSS or SLR, enabling retrieval of subdiurnal signals in EOP from the past data.

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Section: Introductionmentioning

confidence: 86%

Complex Demodulation in Monitoring Earth Rotation by VLBI: Testing the Algorithm by Analysis of Long Periodic EOP Components

Wielgosz

Brzeziński

Böhm

2016

Artificial Satellites

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“…The altimetric tide atlas EOT11a includes nine gravitational tides in the (sub-)diurnal frequency range (Q 1 , O 1 , P 1 , K 1 , 2N 2 , N 2 , M 2 , S 2 , K 2 ), but a larger number of spectral components is required for modern-day ERP models (Gipson 1996;Steigenberger et al 2006;Artz et al 2011). One possibility to interpolate these minor tides is the response method as described in Munk and Cartwright (1966).…”

Section: Minor Tides and Completion Of The Erp Modelmentioning

confidence: 99%

“…Several models of this type have been derived in the past and show unprecedented precision levels (Gipson 1996;Steigenberger et al 2006;Artz et al 2011). However, such datasets cannot serve as independent standards in the analysis of space geodetic observations and are usually marred by technique-specific systematic errors that leak into the tidal estimates (Griffiths and Ray 2013).…”

Section: Introductionmentioning

confidence: 99%

“…However, such datasets cannot serve as independent standards in the analysis of space geodetic observations and are usually marred by technique-specific systematic errors that leak into the tidal estimates (Griffiths and Ray 2013). In fact, models from different single techniques deviate significantly from each other (Artz et al 2011). Artz et al (2012) derived a combined VLBI/Global Positioning System (GPS) model which partly reduces these inconsistencies, but observations from GPS dominate the solution.…”

Section: Introductionmentioning

confidence: 99%

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High-frequency Earth rotation variations deduced from altimetry-based ocean tides

Madzak

Schindelegger

Boehm

et al. 2016

J Geod

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A model of diurnal and semi-diurnal variations in Earth rotation parameters (ERP) is constructed based on altimetry-measured tidal heights from a multi-mission empirical ocean tide solution. Barotropic currents contributing to relative angular momentum changes are estimated for nine major tides in a global inversion algorithm that solves the two-dimensional momentum equations on a regular 0.5 • grid with a heavily weighted continuity constraint. The influence of 19 minor tides is accounted for by linear admittance interpolation of ocean tidal angular momentum, although the assumption of smooth admittance variations with frequency appears to be a doubtful concept for semi-diurnal mass terms in particular. A validation of the newly derived model based on post-fit corrections to polar motion and universal time ( UT1) from the analysis of Very Long Baseline Interferometry (VLBI) observations shows a variance reduction for semi-diurnal UT1 residuals that is significant at the 0.05 level with respect to the conventional ERP model. Improvements are also evident for the explicitly modeled K 1 , Q 1 , and K 2 tides in individual ERP components, but large residuals of more than 15 µas remain at the principal lunar frequencies of O 1 and M 2 . We attribute these shortcomings to uncertainties in the inverted relative angular momentum changes and, to a minor extent, to violation of mass conservation in the empirical ocean tide solution. Further dedicated hydrodynamic modeling efforts of these anomalous constituents

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“…The most rigorous approach is to express ERP as a sum of sinusoidal functions within the observation equations and solve for harmonic coefficients at specific periods in a global adjustment, as demonstrated by Gipson (1996) for VLBI. Recently Artz et al (2011) presented a modification of this method, where ERP are first set up sessionwise as highly resolved parameters and then transformed to coefficients of a poly-harmonic model on the level of normal equations. In both approaches the frequency components are solved for in a global adjustment, simultaneously with TRF and nutation parameters, considering all correlations among the estimated quantities.…”

Section: Introductionmentioning

confidence: 99%

Complex demodulation in VLBI estimation of high frequency Earth rotation components

Böhm

Brzeziński

Schuh

2012

Journal of Geodynamics

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Assessment of periodic sub-diurnal Earth rotation variations at tidal frequencies through transformation of VLBI normal equation systems

Cited by 19 publications

References 33 publications

Complex Demodulation in Monitoring Earth Rotation by VLBI: Testing the Algorithm by Analysis of Long Periodic EOP Components

Complex Demodulation in Monitoring Earth Rotation by VLBI: Testing the Algorithm by Analysis of Long Periodic EOP Components

High-frequency Earth rotation variations deduced from altimetry-based ocean tides

Complex demodulation in VLBI estimation of high frequency Earth rotation components

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