A satellite system like the one in the figure is conformed by two blocks $($joined by non rigid links with friction and torsional properties represented by a dampers of coefficient $"$d$"$ and a spring of coefficient $"$K$").$ The larger block $($block $1$ has inertia J$1)$ contains the main systems like communication devices and power supply systems, whilst the second block contains the sensors system $($block $2$ with inertia J$2).$

The dynamical equations that relate the positioning torque T applied to the first block and the angular position of the sensors block $($block $2)$ are provided below: