The equations of motion of a Kerr Black Hole are deeply analyzed in order to find out and classify the different kinds of orbits; i.e. bounded geodesics with null or non null eccentricity. Using Boyer-Lindquist coordinates; this classification is made in terms of the constants of motion: mass (m), energy (E) angular momentum (L) and Carter's constant (). Constraints on the allowed values are found: constants of motion cannot take any value, and the allowed range of values depends on the values of the other parameters. Finally; a "three dimensional space of parameters" is build, using the constants of motion at the axes: z = m²/E², ξ = L/E and μ = /E² . In this representation, every point represents a geodesic and regions of different kind of orbits are delimited, becoming a powerful tool to visualize the position and relationship between them, and to see how one particle is able to go from one kind of geodesic to another by a slow change of its constants of motion. This slow change is predicted in the adiabatic limit hypothesis of gravitational radiationl [N Sago et al 2006 Progress of Theoretical Physics 115 873].