Stability of deformable gyrostats based on Sturm's theorem
(1973) AIAA Journal : devoted to aerospace research and development — Vol. 11, n° 8, p. 1093-1096 (1973)
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- Abstract
- It is shown how Sturm's theorem, which provides stability criteria for linear differential equations with complex coefficients, may be used to determine the stability of a class of deformable spacecraft which includes symmetrical dual- and triple-spin satellites with flexible dissipative bearings. For dual-spin satellites, the results are equivalent to those obtained by a Liapunov analysis using a Hamiltonian-like testing function and integrals of motion. For triple-spin satellites, the results are also equivalent to those resulting from a Liapunov analysis in the particular cases where a suitable testing function can be obtained, and, in the general case, the method provides a complete set of stability criteria, which, with appropriate hypotheses, yields a simple closed-form stability condition.
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Citations
Campion, G., Johnson, D. A., & Willems, P. Y. (1973). Stability of deformable gyrostats based on Sturm’s theorem. AIAA Journal : devoted to aerospace research and development, 11(8), 1093-1096. https://hdl.handle.net/2078.5/63980 (Original work published 1973)