The equations of motion for a class of Tethered Satellite Systems (TSS
), undergoing planar motion in a Keplerian orbit, are derived. The sys
tem consists of a rigid platform from which a point mass subsatellite
can be deployed or retrieved by a flexible tether. The model incorpora
tes offset of the tether attachment point from the platform center of
mass and its time dependent variation. The governing equations of moti
ons are obtained using the Lagrangian procedure. The effect of system
parameters on the dynamics is analyzed numerically. The thruster augme
nted active control strategy is used to regulate the tether swing with
the platform dynamics controlled by a momentum gyro. It is shown that
the control of only the rigid degrees of freedom is not sufficient as
the flexible dynamics of the tether becomes unstable, particularly du
ring retrieval. Passive dampers are proposed to control the flexible d
ynamics. Effectiveness of the control strategy is assessed through its
application to several cases of practical importance.