We discuss an extension of the theory of spin-orbit pendulum phe- nomenon to relativistic approach. It is done within the so called Dirac Oscillator. Our first results, focusing on circular wave packet motion have been published recently. The scope of this paper is motion of a linear wave packet. In relativistic approach we found Zitterbewegung in spin-orbit motion (in Dirac representation) due to coupling to negative energy states. This effect is washed out in the Foldy-Wouthuysen representation. Another important change with respect to non-relativistic case is the loss of period- icity. The phenomenon reminds the time evolution of population inversion in Jaynes-Cummings model.
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