second-orderinitial value problems.Recently,Kim and Cho 1 developed a penalized weighted residual method that conforms well to the parallel computing scheme. Park and Kapania 2 studied several orthogonal polynomials to e nd the good basis function in the time e nite element method. Suk and Kim 3 proposed a method to analyze the dynamic systems with specie ed initial and e nal conditions. In this Note, the slew maneuver of a e exible space structure is analyzed using the time e nite element method (FEM). The slew dynamics of a e exible space structure is governed by coupled equations in slewand e exible modes. Using time discretization, the slew modeequation canbe converted to an algebraic matrix equation that incorporates the effect of structural e exibility and the control input torque. Also, the structural mode is reduced to a fourth-order partial differential equation that is a function of the solution of the slew mode. The novel feature of this study is that the original coupled system is split into two coupled sets of equations in which one set corresponding to the slew mode can be solved explicitly. Because the slew and structural modes of the e exible structure satisfy the characteristics of a self-adjoint system, it is also possible to reduce the orderof themodel by solving a generalized eigenvalue problem. To demonstrate and verify the proposed formulation, slew dynamics by open-loop control input is simulated and is compared with conventional FEM techniques.