  In this paper, we study rotating boson stars in the large coupling limit as
well as in the Newtonian limit. We investigate the equilibrium solutions in
four and five dimensions by adopting some analytical approximations. We show
that the relations among the radius, angular momentum, Newtonian energy and
quadrupole moment (for the four-dimensional solution) of the boson star can be
qualitatively realized for the minimal number of boson star parameters.
