  In this new era of gravitational wave astrophysics, observations have
indicated the likely existence of black holes with significant spin. In order
to better understand the potential imprint orbital dynamics have on the
multi-messenger data, we include rotation of the primary mass to leading order
in the analysis of the stability boundary pertaining to the triangular
equilibrium points, L_4 and L_5, in the relativistic, restricted, circular
three body problem. For Lagrange point stability these rotation effects are of
the same order as the leading order relativistic corrections ignoring rotation
and make both L_4 and L_5 more stable for retrograde orbital motion.
