Bifurcations in the attitude dynamics of a spacecraft in a gravity field |
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| Institution: | 1. Guangzhou Institute of Chemistry, Chinese Academy of Sciences, 510650 Guangzhou, PR China;2. College of Applied Chemical Engineering, Shunde Polytechnic, 528333 Foshan, PR China;3. Guangdong Provincial Key Laboratory of Organic Polymer Materials for Electronics, 510650, PR China;4. Key Laboratory of Cellulose and Lignocellulosics Chemistry, Chinese Academy of Sciences, Chinese Academy of Sciences, 510650, PR China |
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| Abstract: | A normalized averaged (integrable) Hamiltonian approximation is used to study the attitude dynamics of a rigid body satellite in a gravity field, with an emphasis on bifurcations. The phase portrait is represented in a Mercator map and on a 3D sphere. Pitchfork bifurcations and degeneracies (a dense set of equilibria) are found. |
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