This paper deals with the attitude behavior of a spacecraft with a rotor during extension of flexible appendages. The analysis is based on the method of multiple scales. The equations of motion are formulated using a spacecraft modal coordinate scheme. The analytical expressions for the attitude behavior of the spacecraft are obtained. The extension of the appendages plays a significant role in the stability of the attitude motion of the spacecraft: In some cases, the attitude motion of the spacecraft will become unstable.
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Kazuo Tsuchiya (1983) studied this question.
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