This chapter presents the models and processing steps used for Gaia’s core solution, namely, the Astrometric Global Iterative
Solution (AGIS). The inputs to this solution rely heavily on the basic observables (or astrometric elementaries)
which have been pre-processed and discussed in Chapter 2, the results of which were published in Fabricius et al. (2016). The models
consist of reference systems and time scales; assumed linear stellar motion and relativistic light deflection; in addition
to fundamental constants and the transformation of coordinate systems. Higher level inputs such as: planetary and solar
system ephemeris; Gaia tracking and orbit information; initial quasar catalogues and BAM data are all needed for the processing described here.
The astrometric calibration models are outlined followed by the details processing steps which give AGIS its name. The final
Section 3.5 represents a basic quality assessment and validation of the scientific results which will also be
published in detail in Lindegren et al. (2018). However, the validation of the science products was not restricted to just this, a more
independent catalogue consolidation and validation of the science results for Gaia DR2 was also performed and are documented in Chapter 9 and will be published in Arenou et al. (2018).