  The exact solution of Einstein - Maxwell equations for a Schwarzschild black
hole immersed in the static spatially homogeneous AdS${}^2\times\mathbb{S}^2$
space-time of Bertotti-Robinson magnetic universe is presented. In this
solution, the black hole possesses a finite initial boost in the direction of
the magnetic field and performs a "geodesic" oscillating motion interacting
with the background gravitational and electromagnetic fields.
