  We present a theoretical study of the mixed-field-orientation of asymmetric
top molecules in tilted static electric field and non-resonant linearly
polarized laser pulse by solving the time-dependent Schr\"odinger equation.
Within this framework, we compute the mixed-field orientation of a state
selected molecular beam of benzonitrile (C$_7$H$_5$N) and compare with the
experimental observations [J. L. Hansen et al., Phys. Rev. A 83, 023406
(2011)], and with our previous time-independent descriptions [J. J. Omiste et
al., Phys. Chem. Chem. Phys. 13, 18815 (2011)]. For an excited rotational
state, we investigate the field-dressed dynamics for several field
configurations as those used in the mixed-field experiments. The non-adiabatic
phenomena and their consequences on the rotational dynamics are analyzed in
detail.
