Abstract: The hydraulic characteristic roots of a centrifuge cascade represent an important property of the cascade performance. Regulators and centrifuges are the key components that have a significant influence on the cascade hydraulic performance. The method used in diffusion cascades was adopted to obtain the static characteristic roots by solving the small disturbance equation for an adjustable centrifuge cascade in which all stages have the same fluid parameters. As the light stream flowrate of a centrifuge is irrelevant to the pressure at the outlet of the light flow, and the heavy stream flows at the speed of sound, there are only 2 static characteristic roots in the centrifuge cascade: the first root Z₁ is the main characteristic root and the second one Z₂ comes into play only when there exists a feed. The value of the main characteristic root is influenced by the amplification factor of the regulators, the fluid resistance in the main feed pipe and other factors. When Z₁ is smaller than 1, it increases with the fluid resistance. A large enough amplification factor has little impact on Z₁. The same distribution of the relative changes of the light fraction along the cascade is obtained by an analytical and a numerical method.