Using an order N Lagrangian formulation, the paper studies attitude co
ntrol of a rigid platform supporting a flexible tether connected to a
rigid satellite. The system, in an arbitrary orbit, is free to undergo
three-dimensional motion in both rigid and flexible degrees of freedo
m. As can be expected, the governing equations of motion, in general,
are highly nonlinear, nonautonomous, and coupled, and are amenable onl
y to numerical integration, The control is achieved through time depen
dent offset of the tether attachment point, as determined through the
Liapunov method, thus providing regulated amount of tether tension ind
uced damping moment. Results suggest that the controller is quite succ
essful in stabilizing the platform about its nominal equilibrium posit
ion in a few orbits, even in the presence of relatively large disturba
nces, Furthermore, extensive parametric study suggests that the contro
ller is quite versatile in imparting any desired orientation to the pl
atform. This would enable the system to undertake diverse missions aim
ed at communications, launch and retrieval of spacecraft, monitoring t
he Earth's environment, planetary and galactic observations, etc.