The use of Tethered Satellite Systems (TSS) has emerged as an attractive alternative for space-based radar sounding missions. Recent studies have demonstrated that a TSS enables the realization of large antenna apertures while reducing the propulsion requirements typically associated with traditional Formation Flying. Although this solution can significantly enhance sensing performance, it is inherently affected by dynamical instability, which makes the analysis of its dynamics and deployment phase an interesting aspect for system design. To this end, the research begins with the formulation of a comprehensive mathematical model relying on two of the main modeling methods for Tethered Satellite Systems: the rod model and the discrete model.