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Context. Modern high resolution observations allow to view closer into theobjects powering relativistic jets. This is especially the case for SS433, anX-ray binary from which a precessing jet is observed down to the sub-parsecscale.  Aims. We want to study full 3D dynamics of relativistic jets associated withAGN or XRB. We study the precessing motion of a jet as a model for the jetassociated with the XRB SS433. Our study of the jet dynamics in this systemfocuses on the sub-parsec scales. We investigate the impact of jet precessionand the variation of the Lorentz factor of the injected matter on the general3D jet dynamics and its energy transfer to the surrounding medium. We realizesynthetic radio mapping of the data, to compare our results with observations.  Methods. For our study we use the code MPI-AMRVAC with SRHD model of abaryonic jet. We use a AMR scheme and an inner time-dependent boundaryprescription to inject the jets. Parameters extracted from observations wereused. 3D jet realizations that match the SS433 jet are intercompared. We trackthe energy content, as deposited in different regions of the domain affected bythe jet. Our code also follows a population of particles injected with the jet.This evolving energy spectrum of accelerated electrons, allows to obtain theradio emission from our simulation.  Results. we obtain meaningful observations. We find increased energy transferfor a precessing jet compared to a standing jets. We obtain synthetic radiomaps for all jets.  Conclusions. The synthetic radio map matches best for a model using thecanonical kinematic model. Overdense precessing jets experience significantdeceleration in their propagation through the ISM, and while the overall jet isof helical shape. This argument show that the kinematic model for SS433assuming ballistic propagation has to be corrected for this decelretaion.

Relativistic 3D jet simulations for the X-ray binary SS433