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Given the extreme accuracy of modern space astrometry, a precise relativisticmodeling of observations is required. Moreover, the availability of severalmodels formulated in different and independent ways is a security against thepresence of systematic errors in the analysis of future experimental results,like in the case of the Gaia mission. In this work, we simulate a series ofobservations using the two models to be used for the data analysis of Gaia, theGaia RElativistic Model (GREM) and the Relativistic Astrometric MODel (RAMOD),and we compare them with the results of our astrometric model based on the TimeTransfer Functions.

Latest advances in an astrometric model based on the Time Transfer Functions formalism