The data from the CLUSTER FGM magnetometer, recorded for 20 years at ESA’s Cluster Science Archive, as well as the position of the spacecraft, have been used to form a database aligned in time, the 4 s/c flying in formation has allowed the calculation of curl(B) over all the life of the mission.

The data of B and J are then averaged, as a function of the dipole tilt angle, to form a 3D grid of spatial extend of about 20 Re.

From these data grids, maps of the direction of the magnetic field and of the current density are produced, allowing the study of the average behavior of the magnetic field and the current density on a large scale.

The validity of the calculation of J is discussed. The direction of B is used to determine the position and shape of the polar cusps, both in latitude and longitude. A simple model of the day-side magnetopause is proposed.

By means of spatial interpolation, the grid is used to provide a digital model of the magnetic field at any point in space where the grid is filled. This model allows ray tracing so as to obtain empirical plots of the magnetic field lines, i.e. not theoreti-cal, but from experimental data. In particular, field lines near the cusp bring a direct view of the shape of the cusps. The results are discussed.The prospect of adding data from other missions would extend the regions that have been covered by Cluster.