Molecular dynamics simulations of bulk atactic polystyrene have been performed in a temperature range from 100 to 650 K at atmospheric pressure. Local translational mobility has-been investigated by measuring the mean square translational displacements of monomers. The long-time asymptotic slope of these dependencies is 0.54 at T > T-g, showing. Rouse behavior. Crossover from motion in the cage to Rouse-like dynamics has been studied at T > T-g with a characteristic crossover time follows a power law behavior as a function of T, as predicted by mode-coupling-theory (MCT). We studied the coherent intermediate scattering function and show the agreement with scaling predictions of MCT. Local orientational mobility has been studied via the orientational autocorrelation functions, ACFs (Legendre polynomials of the first and second order), of both the main-chain and side-group bonds. The ACF relaxation times analysis shows strong coupling between the phenyl groups and the backbone relaxation. The relaxation times of the orientational alpha-relaxation follow the same power law ( gamma similar to 2.9) as the characteristic translational diffusion time and the intermediate scattering function. Below T-g, both types of dynamics are described by the same activated law. The ACFs time-distribution functions reveal the existence of activated local rearrangements already above T-g.