Gravity Gradient - Stability Conditions, Frequencies, Torque Equilibrium Angle, Space Station

The course covers the following learning outcomes and goals: understanding stability conditions in pitch, analyzing torques in the space environment, determining torque equilibrium angle, identifying roll and yaw stability conditions, calculating oscillation frequencies in roll and yaw, interpreting gravity gradient stability chart, and applying gravity gradient stabilization to the International Space Station (ISS). Individual skills and tools taught in the course include: Euler rigid body equations with gravity gradient torque, dynamics in terms of Euler angles, stability analysis in pitch, calculation of torques in space, determination of torque equilibrium angle, assessment of roll and yaw stability conditions, computation of oscillation frequencies, interpretation of gravity gradient stability chart, and application of gravity gradient stabilization. The teaching method of the course involves lectures with theoretical explanations, mathematical derivations, and practical applications related to space vehicle dynamics. The intended audience for this course includes students and professionals interested in aerospace engineering, space vehicle dynamics, satellite dynamics, attitude control of spacecraft, and rigid body dynamics in the context of space environments.