We conducted phase referencing VLBI observations of the Mira variable T Lepus ( T Lep ) using VERA , from 2003 to 2006 .
The distance to the source was determined from its annual parallax which was measured to be 3.06 \pm 0.04 mas , corresponding to a distance of 327 \pm 4 pc .
Our observations revealed the distribution and internal kinematics of H _ { 2 } O masers in T Lep , and we derived a source systemic motions of 14.60 \pm 0.50 mas yr ^ { -1 } and - 35.43 \pm 0.79 mas yr ^ { -1 } in right ascension and declination , respectively .
We also determined a LSR velocity of V _ { \mathrm { LSR } } ^ { \ast } = - 27.63 km s ^ { -1 } .
Comparison of our result with an image recently obtained from the VLTI infrared interferometer reveals a linear scale picture of the circumstellar structure of T Lep .
Analysis of the source systemic motion in the Galacto-centric coordinate frame indicates a large peculiar motion , which is consistent with the general characteristics of AGB stars .
This source makes a contribution to the calibration of the period-luminosity relation of Galactic Mira variables .
From the compilation of data for nearby Mira variables found in the literature , whose distances were derived from astrometric VLBI observations , we have calibrated the Galactic Mira period-luminosity relation to a high degree of accuracy .