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Dynamics and operation optimization of partial space elevator with multiple climbers
Authors:Gefei Shi  Gangqiang Li  Zhanxia Zhu  Zheng H Zhu
Institution:1. National Key Laboratory of Aerospace Flight Dynamics, Northwestern Polytechnical University, Xi’an 710072, PR China;2. School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, PR China;3. Department of Mechanical Engineering, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada
Abstract:This work studies the dynamics and optimal stabilization method of a partial space elevator (PSE) system with multiple climbers. All satellites and climbers are assumed as lumped masses that are connected by straight, massless, and inextensible tethers. A general dynamic model is derived for the PSE with multiple climbers. It is found different climber moving patterns of climbers have major influence of dynamic behavior of PSE. Optimal control is used to develop optimal operation modes to suppress the libration of PSE with multiple climbers. Moreover, a new operation mode is proposed to approach the desired mission objectives. It is found that all libration angles can be suppressed to zero by the end of the transfer period if two climbers can be kept at a constant speed. At the same time, the magnitudes of libration angles can be kept bounded by regulating the speed of the middle climber relative to other two climbers.
Keywords:Tethered space satellites  Partial space elevator with multiple climbers  Multibody dynamics  Mission optimization
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