### Control Small-Signal Characterization of Perturbed Geostationary Satellite Orbit

#### Abstract

This paper gives the theoretical control small-signal description of perturbed Keplarian satellite orbit. Starting from a pair of second-order differential equations obtained previously based on Newton’s law of motion, a control state space description is formulated. It is shown that the application of Laplace transform to the system, input, and output matrices leads the transfer function of satellite orbit. Consideration of small signal variation in the input and output matrices gives the control characterization of the satellite orbit.

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DOI: http://dx.doi.org/10.22385/jctecs.v13i0.203