Stability of Relative Equilibria. Part II: Dumbell Satellites |
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| Authors: | Krupa Martin Steindl Alois Troger Hans |
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| Affiliation: | (1) Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico;(2) Institute for Mechanics, Vienna University of Technology, Wiedner Hauptstrasse 8–10, A-1040 Wien, Austria |
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| Abstract: | In the second part a practically important problem, namely the stability of relative equilibria of a dumbell satellite on an orbit around the Earth is treated by means of the reduced energy-momentum method. The dumbell satellite is used to emphasize the advantages of the reduced energy-momentum method which did not become obvious in the simple example of the rotating pendulum treated in Part I, as well as, to discuss some of the finer technical details. |
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| Keywords: | Reduced energy-momentum method Routh method Hamiltonian systems with symmetry Nonlinear Dynamics |
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