Tj. Kelly et al., STATIONKEEPING OF GEOSTATIONARY SATELLITES WITH SIMULTANEOUS ECCENTRICITY AND LONGITUDE CONTROL, Journal of guidance, control, and dynamics, 17(4), 1994, pp. 769-777
Because of increasingly stringent deadband requirements (+/- 0.05-degr
ees) in conjunction with larger solar radiation perturbations caused b
y higher area-to-mass ratios on current and future satellites, east/we
st stationkeeping has become significantly more complicated. An algori
thm that simultaneously controls the mean eccentricity and longitudina
l motion of a geostationary satellite placed at any station longitude
is developed. Eccentricity control is achieved based upon an expanded
version of the sun pointing perigee method to include the long-period
luni-solar effects in the eccentricity vector targeting scheme. Simult
aneous control of the longitudinal motion is achieved by apportioning
the required DELTAV for eccentricity control amongst N maneuvers to ma
intain longitude within a +/- 0.05-degrees deadband. Upon completing t
he Nth maneuver, the satellite begins a period of free drift with star
ting conditions coinciding with the optimal free-drift cycle initial c
onditions. Modeling of the sun, Earth, and moon effects on the satelli
te's motion allows for an arbitrary station longitude (and in particul
ar for longitudes at or near an equilibrium point). A detailed simulat
ion of the spacecraft's operating environment incorporating the maneuv
er strategy was used to verify the feasibility of the algorithm and to
illustrate its robustness in the presence of measurement and executio
n errors.