Considering A Priori Correlations in VLBI Data Analysis

Astronomy and Astrophysics – Astronomy

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Scientific paper

The complete model of least-squares adjustment contains the full variance-covariance matrix of the observables. However, in present standard VLBI solutions, only the variances of the observed time delays are introduced, whereas the covariances are set to zero, i.e. no a priori correlations between the observables of a VLBI-session are taken into account . In this study, correlation coefficients for 36 IRIS-S sessions since 1994 were determined empirically, the a priori correlation matrices were designed and entered into the VLBI data analysis. The OCCAM 3.4 VLBI software had been modified for that purpose by introducing the full variance-covariance matrix. The results were compared with those of an uncorrelated approach. The formal errors of the results usually increased and hence became more realistic. The repeatability of the baseline lengths and of the vertical and horizontal components improved significantly.

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