Stability Analysis and Control of Orbits around a Small Body

Computer Science

Scientific paper

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Scientific paper

An important component of future space missions is to explore small solar system bodies such as asteroids and/or comets with inexpensive spacecraft. In deep space missions, human assistance would hardly be available due to the long round-trip delay of communication with earth. Furthermore, especially in case of small bodies, the shape, mass, density, gravity field and span of such bodies cannot be observed from the earth. Therefore, autonomy and environment adaptation are strongly required, the orbit determination and control technology around small bodies is getting more difficult than ever. This paper discusses the problem of stability and autonomous control of orbit around a small body. Given a model gravitational field and rotational state of small body, equations of orbit dynamic for micro-explorer around small body is given in the body-fixed frame of the small body. Orbit stabilization of flying-around the small body is analyzed and the stable condition is given. Mainly, to maintain micro-explorer stable flying-around a small body for long time, the stable condition that is transformed into sliding mode and a variable structure controller is presented. It is shown that stabilization of flying orbit under bound perturbation and injecting error is assured if variable structure controller is used. Simulation result also shows that stabilization of orbit of flying-around small body is maintained with given control scheme. Keywords: Small Bodies; Variable Structure Control; Orbit Control

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