  In this paper, we investigate influence of Earth's orbit on the shadow of Sgr
A*. Motivated by inclination of the Earth's orbit that is not located at
galactic plane, we consider the black hole shadow for arbitrary inclinations
and different velocities of observers. It is found that rotation axis of a
black hole might not be extracted from its shadow, since the ways of the shadow
getting distorted depend not only on the spin of the black hole, but also
velocities of observers. Namely, appearance of the shadow could be rotated by
an angle in observers' celestial sphere for an observer in motion. In order to
consider the Earth's orbit for the shadow of Sgr A*, we present a formalism for
calculating the shadow in terms of the local velocity expansion. It shows that
influence of the orbital velocity of the Earth on the shadows of Sgr A* is much
larger than that of the displacement in Earth's orbit. The deviation of size of
the shadow is around $10^{-4}$. And the deviation of the distortion parameter
of the shadow is around $10^{-14}$.
