  The anomalous, energy dependent shift of the center of mass of an idealized,
perfectly rigid, uniformly rotating hemispherical shell which is caused by the
relativistic mass increase effect is investigated in detail. It is shown that a
classical object on impact which has the harmonic binding force between the
adjacent constituent particles has the similar effect of the energy dependent,
anomalous shift of the center of mass. From these observations, the general
mode of the linear acceleration is suggested to be caused by the anomalous
center of mass shift whether it's due to classical or relativistic origin. The
effect of the energy dependent center of mass shift perpendicular to the plane
of rotation of a rotating hemisphere appears as the non zero gravitational
dipole moment in general relativity. Controlled experiment for the measurement
of the gravitational dipole field and its possible links to the cylindrical
type line formation of a worm hole in the extreme case are suggested. The jets
from the black hole accretion disc and the observed anomalous red shift from
far away galaxies are considered to be the consequences of the two different
aspects of the dipole gravity.
