The kinematic variables of the particles transporter by  GEANT
are always referred to the so-called 
 MAster  Reference  System ( MARS). This system
is implicitly defined as the local reference system of the first
volume defined, which contains all the others. This is a Cartesian
coordinate system with axis 
 where
.
If the axes are labelled  (X,Y,Z), then the point  P
is represented in fig 
.
Figure:  GEANT reference system
Tracking is performed in the MARS and the input position for user routines such as the magnetic field routine is given in this system.