  We report a theoretical study of the optical centrifuge acceleration of an
asymmetric top molecule interacting with an electric static field by solving
the time-dependent Schr\"odinger equation in the rigid rotor approximation. A
detailed analysis of the mixing of the angular momentum in both the molecular
and the laboratory fixed frames allow us to deepen the understanding of the
main features of the acceleration process, for instance, the effective angular
frequency of the molecule at the end of the pulse. In addition, we prove
numerically that the asymmetric superrotors rotate around one internal axis and
that their dynamics is confined to the plane defined by the polarization axis
of the laser, in agreement with experimental findings. Furthermore, we consider
the orientation patterns induced by the dc field, showing the characteristics
of their structure as a function of the strength of the static field and the
initial configuration of the fields.
