  Interaction of a stochastic background of gravitational radiation with
celestial systems changes their dynamical elements in a random manner and give
rise to secular changes in time. In this spirit we study the angular momentum
transfer from a random background of radiation either to a rotating star or to
an oscillating one. The angular momentum transferred to such objects by a
continuous plane wave is proportional to time, $t$, and by an stochastic
background is proportional to $t^{1/2}$.
