Dynamics Model for a Multi-Tethered Space-Based Interferometer

A mathematical dynamics model is established for a space-based interferometer concept comprised of multiple collector elements connected to a common central body by tethers of variable length. The system as a whole is to rotate in a coordinated fashion while the collectors simultaneously execute linear extension and retraction motions. The system is taken to consist of a single rigid body and N point mass collector elements connected to the rigid body by massless tethers. The equations of motion for the system are derived from fundamental Newton-Euler momentum principles. Tether constitutive behavior is discussed. Prescribed motion of any system degrees of freedom is treated, and expressions for the corresponding constraint force/torque components are established.