M. Keshmiri et al., EFFECTS OF AERODYNAMIC LIFT ON THE STABILITY OF TETHERED SATELLITE SYSTEMS, The Journal of the astronautical sciences, 42(3), 1994, pp. 301-318
Dynamics and stability of a two-body tethered system are investigated
considering the aerodynamic lift on the subsatellite in addition to th
e aerodynamic drag. The free molecular flow model is used to calculate
the aerodynamic forces on the subsatellite. Equilibrium configuration
s of the system are obtained numerically. Equations of motion are line
arized analytically about the equilibrium configuration through a symb
olic manipulation language, Maple V, and stability behavior of small o
scillations about the equilibrium configuration is analyzed. An extens
ive parametric study is done to understand the effect of aerodynamic f
orces (lift and drag) on the stability of the uncontrolled system. It
is shown that the stability behavior changes significantly if the subs
atellite is changed from a body with no lift to a body with lift. Henc
e, an unstable system with a spherical subsatellite can be stabilized
if appropriate aerodynamic surfaces are added. It is concluded that co
nsideration of the aerodynamic lift in addition to the aerodynamic dra
g on the subsatellite is indispensable for proper design of a tethered
subsatellite system deployed in a low altitude orbit.