  We solve in closed analytic form space-like geodesic equations in the Kerr
gravitational field. Such geodesic equations describe the motion of neutral
tachyons (faster than light particles) in the Kerr spacetime. More specifically
we derive the closed form solution for the deflection angle of a neutral
tachyon on an equatorial orbit in Kerr spacetime. The solution is expressed
elegantly in terms of Lauricella's hypergeometric function F_{D}.We applied our
results to three cases: first, for the calculation of the deflection angle of a
neutral tachyon on an equatorial trajectory in the gravitational field of a
Kerr black hole. Subsequently, we applied our exact solutions to compute the
deflection angle of equatorial spacelike geodesics in the gravitational fields
of Sun and Earth assuming the Kerr spacetime geometry.
