Transformation coordinate M from the international terrestrial reference system (ITRF) to the international
celestial reference frame (ICRF) : Celestial coordinates
( X Y Z) = M x Terrestrial coordinates ( x y z ) and associated quaternion of rotation.
Compution of Celestial Pole coordinates (X,Y), Earth rotation angle,
Celestial Intermediate Origin locator, Terrestrial Intermediate Origin locator are performed by FORTRAN programs of the
SOFA IAU library, consistent with the IAU 2000/2006 resolutions.
 from 1962 to the current week the transformation can include the interpolated EOP of the
daily IERS combined series C04, as well as diurnal and semidiurnal variations in UT1 and polar
motion produced by oceanic tides (IERS 2000 conventions). Accuracy is
0.05 mas (milliarcseconds), corresponding to 2.5 10^{10 }rad.
 from the
current week to 6 months afterthe matrix
is computed from the prediction of the polar motion and UT1UTC.
 outside the range
[1962, current week+ 6 months prediction]
the rotation matrix is restricted to the diurnal rotation and the precessionnutation
model IAU 2000
 the last digit (14) of the matrix element corresponds to the 10^{14} radian level or
2 10^{6} mas or a datation uncertainty of 0.14 nano seconds/1.6 10^{15} day (in reason of the diurnal rotation)
