  We study the nonextensive parameter for the rotating astrophysical systems
with power-law distributions, including both the rotating self-gravitating
system and the rotating space plasma. We extend the equation of nonextensive
parameter to complex system with arbitrary force field, and derive a general
equation of the q-parameter, most generally including both the rotating
self-gravitating systems and the rotating space plasmas. At the same time, we
reproduce the kappa-distribution in space plasmas and obtain equations of the
kappa-parameter. We show that the q-parameter is related not only to the
temperature gradient, the gravitational force and the electromagnetic force,
but also to the inertial centrifugal force and Coriolis force. Thus the
rotation introduces significant effect on nonextensivity in the systems.
Several examples are given to illustrate the nonextensive effect introduced by
the rotation.
