Eigenvalues and eigenvectors for hybrid coordinate equations of motion for flexible spacecraft |
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| Authors: | Yoshiaki Ohkami Peter Likins |
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| Institution: | 1. National Aerospace Laboratory, Tokyo, Japan
2. Columbia University, New York, N.Y., USA
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| Abstract: | Literal characterizations are developed for the eigenvalues and eigenvectors of a system of linear time-invariant equations which describes the attitude motion of flexible spacecraft in terms of hybrid coordinates. The eigenproblem is shown to reduce to that of a symmetric and positive definite matrix of lower dimension. For the zero damping case, both analytical and minimax characterization methods prove to be useful in localizing the eigenvalues, and eigenvectors for systems of large dimension are obtained explicitly in terms of a 3×1 matrix whose elements are available from a system of three algebraic equations provided. |
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