Ks. Anderson et P. Hagedorn, CONTROL OF ORBITAL DRIFT OF GEOSTATIONARY TETHERED SATELLITES, Journal of guidance, control, and dynamics, 17(1), 1994, pp. 10-14
This paper shows that the state of a dumbbell-type tethered geosynchro
nous satellite, in the neighborhood of a stable spoke equilibrium, is
completely controllable by tether length in a central inverse squared
gravity field in the subspace defined by a constant moment of momentum
. The effectiveness of simple open-loop tether length changes on the a
djustment of the system state is investigated, as is the usefulness of
optimal control in orbit stabilization and orbit adjustment for both
the linearized and full nonlinear models.