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Homoclinic solutions and motion chaotization in attitude dynamics of a multi-spin spacecraft
Institution:1. Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210023, PR China;2. School of Automation, Southeast University, Nanjing, 210096, PR China;3. Institute of Information and Control Engineering Technology, Nanjing Normal University, Nanjing, Jiangsu 210042, PR China;4. College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing, Jiangsu 210042, PR China;1. College of Science, Shandong University of Science and Technology, Qingdao 266590, PR China;2. Shandong Key Laboratory of Robotics and Intelligent Technology, Qingdao 266590, PR China;1. School of Mathematical Sciences and Physics, North China Electric Power University, Beijing 102206, China;2. School of Economics and Management, North China Electric Power University, Beijing 102206, China;1. Université d’Avignon et des Pays de Vaucluse, UMR 1114 EMMAH, F-84018 Avignon Cedex, France;2. UMR 1114 EMMAH, Centre INRA d’Avignon, F-84914 Avignon Cedex 9, France;1. Department of Automatization, Wuhan University, Wuhan 430072, PR China;2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China;3. College of Electrical and Information Engineering, Hunan University, Changsha 410082, PR China
Abstract:The attitude dynamics of the multi-spin spacecraft (MSSC) and the torque-free angular motion of the multi-rotor system are considered. Some types of homoclinic and general solutions are obtained in hyperbolic and elliptic functions. The local homoclinic chaos in the MSSC angular motion is investigated under the influence of polyharmonic perturbations. Some possible applications of the multi-rotor system are indicated, including gyrostat-satellites, dual-spin spacecraft, roll-walking robots, and also the inertialess method of the spacecraft attitude (angular) reorientation/control.
Keywords:Multi-rotor system  Multi-spin spacecraft  Dual-spin spacecraft  Gyrostat  Exact solutions  Homoclinic chaos  Polyharmonic perturbations  Melnikov function  Poincaré map  Roll-walking robot
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