ABSTRACT
In performing attitude control of rotating film reflectors and tethered systems the flexible systems are suffering from gyroscopic forces causing their surface shape to change. In principle, two ways exist to decrease the undesirable amplitude of travelling wave. First, geometrical parameters of rotating structures and relative rotation velocities are selected so as to ensure a small amplitude. The second way is to provide active or passive damping of oscillations. Since the reflector element can be taken as a localised mass of a tethered weight, commence to treat a rotating structure turn in space just from the mathematical model of tethered weight rotation which, in the same manner as in the task where the rotating structure is fed out from the folded pattern, is physically and mathematically demonstrative while possessing many properties of systems with distributed parameters.
