  We discuss the conditions under which a body, moving non-inertially in
Minkowski space, can preserve its size. Under these conditions, using a series
expansion of the generalized Lorentz transformation, we find a coor- dinate
transformation connecting the laboratory inertial reference frame S and the
rigid non-inertial reference frame s which moves without its own rotation with
respect to S. Direct consequences of this transformation are: (a)
desynchronization, in system s, of the coordinate clocks of s which were
previously synchronized in S, and (b) a kinematic contraction of a ruler of
system s observed in S. We also consider the dependence of the transfor- mation
vector parameter on the proper coordinates of s.
