  In this paper we consider a quark-antiquark ($q\bar{q}$) pair which can be
interpreted as a meson in ${\mathcal{N}}$=4 SYM thermal plasma. We assume that
the string moves at speed $v$ and rotates around its center of mass
simultaneously. By using the AdS/CFT correspondence, we obtain the momentum
densities of the rotating string and determine its motion for small angular
velocities. Then in general case, we calculate the screening length of
$q\bar{q}$ pair numerically and show that its velocity dependance is in
consistent with the well known formula $L_s T\sim (1-v^{2})^{1/4}$ in the
literature.
