The progressive congestion of Earth's orbital environment, primarily due to the accumulation of end-of-life satellites, represents one of the most critical challenges for the sustainability of the space environment and the success of future missions. The risk of cascading collisions, known as Kessler Syndrome, has made the development of Active Debris Removal technologies a central focus of space research in recent decades. In this context, space debris recovery systems play a fundamental role, as they have to guarantee absolute reliability in a hostile operating environment, with no possibility of maintenance and in the presence of non-cooperative targets. This work focuses on the multibody analysis of a deployable origami mechanism designed to capture space debris.