The motion of a satellite in an arbitrary circular orbit, resulting from the action of small, continuous forces acting circumferentially, radially, and normally to the orbit for short periods is discussed. A correlation is made between this motion and that of an equatorial synchronous satellite undergoing corrective orbital maneuvers by a single thruster, nominally pointing in a radial direction, but vectored to produce circumferential, normal, and incremental radial thrust components. A system is described employing such a single thruster for attitude and position control, and this system is shown to be competitive with a multiple-thruster system for long-life satellites. SYNCHRONOUS satellite is one that is launched in an easterly direction into a circular orbit having the same period as the rotational period of the earth. If this orbit lies in the equatorial plane, the satellite will appear to remain fixed in the sky, relative to an observer on earth. Over an extended period of time, the satellite, however, will not maintain its relative fixed position, owing to known perturbations from the moon, sun, and the earth's elliptical equatorial section (triaxiality). The conventional way of overcoming these perturbations is to have a multiple thruster system onboard the satellite which delivers a succession of impulses of appropriate magnitude and direction. Because of errors inherent in the control of thrust duration and thrust magnitude, and because of the impulsive nature of the corrective forces, the intermittent action of the thrusters will further perturb the position of the satellite. A simpler and presumably more reliable system to employ for position control consists of a single thruster (low thrust), operating continuously, and thrusting in a nominally radial direction. It is shown in this paper that a radial thruster of this type can maintain a satellite in a synchronous orbit at an altitude differing from that of the classical synchronous orbit. If the thruster is provided with the capability of vectoring in any direction about its nominal position, it will be able to correct the orbital errors caused by the sun, moon, and the earth's triaxiality. By mounting the thruster on an arm that is gimballed at the satellite center of mass, and again at a point close to the thruster, it will be possible to provide independent control of the position and attitude of the satellite. Ion propulsion is particularly suited for attitude and position control due to the anticipated long lifetime of the satellite. In comparing a multiple (9) ion thruster system with an equivalent single ion thruster, it is found that the total weights of both systems are quite similar.
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