Three relativistic models are available in the data analysis software “CALC/SOLVE” of the Very Long Baseline Interferometry (VLBI), that is to say the Shapiro-, the Hellings- and the Consensus-Model. They all have in common the same starting point, i.e. the motion of a photon is described in a barycentric spacetime and only the subsequent transformation into a geocentric spacetime finally provides the relation between the earth-related observation and model-quantities. Based on this an earth-related, respectively geocentric modelling with a corresponding relativistic stellar model is presented. Stellar model means a model for the description of the directions to the radio sources in an adequate catalog-spacetime as well as the presentation of the transformation from this catalog-spacetime into the geocentric one. In order to investigate the new model, different analyses with real data from VLBI campaigns were made, which finally confirm the general validity of the geocentric relativistic model. Comparing the solutions shows, that the new model actually yields improved results.