Mathematical Modelling of a Rotating Deformable Space Vehicle Lace Attitude Motions
A rotating elastic space vehicle composed of a central rigid body connected to two solar arrays, subjected to external torques, is studied using the spectral expansion continuum method of Rayleigh-Ritz. The lace attitudes motion of the rotating space vehicle can be described by a linear combination of the global modes different from the usual ordinary modes. By application of the spectral expansion continuum approach of Rayleigh-Ritz, the impedance function of the space vehicle in terms of the global modes of the whole system is derived. The numerical simulation of these global modes of great interest in this study, are performed by means of this impedance function relating the external torques to the rotating space vehicle lace attitudes.
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