Motion of Spinning Particles in Kerr Space--Time

We study the geodesic motion of pseudo-classical spinning particles in the Kerr space--time and investigate the generalized Killing equations for spinning space. The constants of motion are derived from the solutions to these equations. We discuss the special cases of motion in a plane. Because of the angular momentum per unit mass, the spinning particles in Kerr space--time are different from those in Schwarzschild space--time.