Stability Analysis of Gravity Gradient Stabilized Satellite Containing a Flexible Beam

摘要

The dynamic stability study of a gravity oriented flexible satellite is presented. The Lagrangian formulation for obtaining the equations of motion and the direct Liapunov method for the determination of sufficient stability conditions were used. Rayleigh quotient properties for evaluating the elastic potential energy and Schewartz inequality for obtaining the integral coordinates were used for simplifying the solution of the problem. Stability diagrams are plotted and analyzed.