  We present new astrometric measurements of the components in the T Tauri
system, and derive new orbits and masses.
  T Tauri was observed during the science verification time of the new extreme
adaptive optics facility SPHERE at the VLT. We combine the new positions with
recalibrated NACO-measurements and data from the literature. Model fits for the
orbits of T Tau Sa and Sb around each other and around T Tau N yield orbital
elements and individual masses of the stars Sa and Sb.
  Our new orbit for T Tau Sa/Sb is in good agreement with other recent results,
which indicates that enough of the orbit has been observed for a reliable fit.
The total mass of T Tau S is 2.65+/-0.11 Msun. The mass ratio M_Sb:M_Sa is
0.25+/-0.03, which yields individual masses of M_Sa = 2.12+/-0.10 Msun and M_Sb
= 0.53+/-0.06 Msun. If our current knowledge of the orbital motions is used to
compute the position of the southern radio source in the T Tauri system, then
we find no evidence for the proposed dramatic change in its path.
