VLBI-simulations for the estimation of degree-three Love and Shida numbers h3 and l3

For the displacement due to solid Earth tides, the IERS Conventions 2003 recommend several corrections to nominal values. One of these corrections is the in-phase contribution by using the real Love and Shida numbers h3 and l3 at all degree-3 tides, where only the contribution of the moon is relevant. The maximum predicted radial displacement is in the order of 1.7 mm. The nominal values are 0.292 for h3, and 0.015 for l3, respectively. Using realistic station and source catalogues, we simulated VLBI (Very Long Baseline Interferometry) group time delays, with a white noise going up to 2 cm, and taking into account the solid Earth tides displacement. Goal of this study was to investigate whether degree-3 Love and Shida numbers can be unambiguously determined from VLBI observations. Therefore, several setups w.r.t., e.g., station constellation, cutoff angle, time span, sampling interval, and different levels of white noise were tested. Attention was put into the separability and correlation between the degree-2 and degree-3 Love and Shida numbers.