  We study the motion of test particles in the metric of a localized and slowly
rotating astronomical source, within the framework of linear
gravitoelectromagnetism, grounded on a Post-Minkowskian approximation of
general relativity. Special attention is paid to gravitational inductive
effects due to time-varying gravitomagnetic fields. We show that, within the
limits of the approximation mentioned above, there are cumulative effects on
the orbit of the particles either for planetary sources or for binary systems.
They turn out to be negligible.
