  In this work a rotating SU(2) gluon system have been studied with the dyon
ensemble in dilute limit. By solving the rotation-modified Yang-Mills equation
we have obtained rotational corrections to the so-called dyon solutions with
arbitrary centers to $\mathcal{O}(\omega^2)$ order and the corresponding
semi-classical potential. The radial position dependent deconfinement
temperature have been obtained by minimizing the semi-classical potential in
both real and imaginary angular velocity cases. Although without the
$\omega$-dependent coupling constant the critical temperature behaves different
from the lattice simulation at each radial position as the rotation goes
faster, its radial dependence is qualitatively the same as the lattice. That is
in the real velocity case the outer layer will deconfine more difficult while
the reverse is true in the imaginary velocity case.
