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Session 2: Strenghts, weaknesses, modelling standards and processing strategies of space geodetic techniques.
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Session 2:Strenghts, weaknesses, modelling standardsand processing strategies of space geodetic techniques Recent Results from the IGSTerrestrial Frame Combinations__________________________________________________________________________________________________Elaboration of IGS08Paul Rebischung, Bruno Garayt REFAG Symposium 6 October 2010 – Marne-la-Vallée, France
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France Outline • The IGS terrestrial frame combinations: • Presentation • Methodology • Results • Prospects • IGS08: • Definition • Availability over time • IGS08 core network
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France TF combination: Products • Weekly combined solution: • Combination of 9 AC solutions • Station positions • ERP (XPO, XPOR, YPO, YPOR, LOD) • « Apparent geocenter » • Cumulative solution: • Stacking of the weekly solutions • Station positions at 2005.0 and velocities • Updated each week NRCAN since 1999 IGN since 2010
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France TF combination: Network
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France TF combination: Methodology • Preparation of AC solutions: • Remove constraints → Unconstrained, singular normal matrices • Fix some parameters (UT, satellite PCOs) • Solve normal equations by adding minimal constraints • Iterative combinations of AC solutions • Estimated parameters: • Combined station coordinates and ERP • « AC → combined » transformation parameters • Internal constraints ⇒ Combined solution is in a mean frame. • Rejection of outliers (5 cm / 5 σ) • Update of AC variance factors • Final combination with transformation parameters fixed • Explicitation of combined geocenter • Alignment to IGS05
W. avg. of AC residuals TF combination: Results Std. dev. of AC residuals Excellent agreement with ‘mig’: < 0.5 mm in horizontal< 1 mm in vertical ⇒ Independent validation of the combination Global level of agreement between AC solutions: • 1-2 mm in horizontal• 2-5 mm in vertical Change in the combination method REFAG Symposium 6 October 2010 – Marne-la-Vallée, France
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France TF combination: How to progress? • Need to understand the discrepancies between AC frames ⇒ Maps of the « AC – igs » residuals
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France Mean SH fits of « AC-igs » residuals over weeks 1548-1599 COD GFZ MIT EMR GRG NGS ESA JPL SIO
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France TF combination: How to progress? • Study the « AC distorsions » over 1994 – 2010(using repro1) • Replace the cumulative solution by a new onebased on repro1 • Study « AC – cumulative solution » residuals in the frequency domain • Study the geocenter discrepancies
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France IGS08 • IGS realization of ITRF2008: • Will become the Reference Frame of IGS products. ⇒ Consistency and stability of IGS products will critically depend on IGS08. • Will be used by many GNSS users to access ITRF2008. • Initially intended to be a subset of “good” GNSS stations from ITRF2008 • But because of new antenna robot calibrations included in igs08.atx,small shifts will be applied to the ITRF2008 coordinates of some stations. • Unlike IGS05, IGS08 should include RF stationsback to 1994 (for repro2).
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France IGS08: Selection criteria • Geographical location • “ITRF2008 quality”: • Data span (5 years at least) • Maximal time spans between two discontinuities (3 years at least) • Number of discontinuities (5 at most) • Absence of velocity discontinuities • Standard deviation of last velocity (0.3 mm/y at most) • Residual time series (RMS + visual inspection) • Equipment: • Type of antenna calibration • GPS+GLONASS capability • Presence of an external atomic clock • Co-location with other techniques • Belonging to IGS05
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France IGS08: Result of the selection • 241 stations • Global coverage • But densityheterogeneities
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France IGS08: Availability over time
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France Aliasing of loading signals • Weekly solutions are aligned to IGSxx. • Helmert parameters absorb part of the loading signals. ⇒ Station annual signals are reduced/amplified and/or shifted. • This aliasing can be reduced by using a well distributed RF (Collilieux, 2010). ⇒ « IGS08 core network »
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France IGS08 core network
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France Thanks for your attention!
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France Backup slides
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France TF combination: Methodology • Variance component estimation: • A priori: variance factors from previous week • After each iteration: • : weighted squared sum of solution s residuals • : redundancy factor of solution s • : number of observations from solution s • : design matrix of solution s • : combined covariance matrix
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France RF combination: Methodology • Paradox of the combined geocenter: • Rigorous geocenter combination ⇒ No translation parameters • But… • In practice, AC solutions are brought to the same framebefore geocenter is combined. ⇒ Estimated precision is too optimistic (usually [1 mm ; 1 mm ;3 mm]). • To be used with care! • There is still a long way before GNSS can contribute to the ITRF origin.
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France IGS08: Selection criteria Distribution of GNSS stations among IGS stations in ITRF2008
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France IGS08: Selection criteria Distribution of antenna calibration types among IGS stations in ITRF2008
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France IGS08: Availability over time
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France New antenna calibrations • New robot calibrations by Geo++ available for igs08.atx • But repro1 (input for ITRF2008) computed with old calibrations • To ensure consistency between IGS08 & igs08.atx: • Drop affected stations from IGS08 • Apply shifts to the ITRF2008 coordinates of these stations Same problem as the transition from ITRF2005, relative calibrations to IGS05, absolute calibrations
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France New antenna calibrations • To estimate coordinate shifts due to calibration changes, • PPP tests were performed at IGN, ESA and CNES. • ACs provided parallel solutions using the new calibrations. • Good global agreement • But for certain antenna types, fixing ambiguities or not seems to have an impact on the estimated shifts. • When possible, IGN PPP shifts will be applied.
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France IGS08 core network • Simulations performed by Xavier Collilieux: Differences at the annual frequency between the true values and the residuals of the 7-parameter transformation: ⇒ Annual signals are better retrieved if « IGS08 core » is used instead of IGS08. North Height East x(t) = In cos(ωt) + Out sin(ωt)
REFAG Symposium 6 October 2010 – Marne-la-Vallée, France IGS08 core network • Simulated translations and scale factor: Full IGS08 IGS08 core Loading model including: - Atmospheric loading - Non-tidal ocean loading - Continental water loading (T. van Dam, University of Luxembourg)