  We present a simple, closed form expression for the potential of an
axisymmetric disk of stars interacting through gravitational potentials of the
form $V(r)=-\beta /r+\gamma r/2$, the potential associated with fundamental
sources in the conformal invariant fourth order theory of gravity which has
recently been advanced by Mannheim and Kazanas as a candidate alternative to
the standard second order Einstein theory. Using the model we obtain a
reasonable fit to some representative galactic rotation curve data without the
need for any non-luminous or dark matter. Our study suggests that the observed
flatness of rotation curves might only be an intermediate phenomenon rather
than an asymptotic one.
