  Dynamics of a centrifugally driven particle moving along a magnetically
prescribed trajectory (e.g. pulsar magnetic field line) in a spacetime of a
rotating massive body is considered. We do assume that the particle is on a
zero Landau level and is not losing energy via synchrotron or any other kind of
radiation. Based on this model we further study in detail the zero-gravity
limit, reconsider the "straight field-line" {\it gedanken experiment} case
\cite{mac94} in the "bead-on-the-wire" approximation and find previously
overlooked exact analytic solutions for the most general set of initial values.
We analyze different regimes of a particle dynamics, classifying them in their
relation with specific initial conditions. We conclude by indicating further
directions of the study and discussing possible areas of astrophysical
applications.
