Pseudospectral method for optimal propellantless rendezvous using geomagnetic Lorentz force

作     者：Xu HUANG Ye YAN Yang ZHOU Hua ZHANG 

作者机构：College of Aerospace Science and Engineering National University of Defense Technology Department of CommunicationBeijing Aerospace Control Center 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2015年第36卷第5期

页      面：609-618页

核心收录：

学科分类：08[工学] 081105[工学-导航、制导与控制] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0811[工学-控制科学与工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the Fund of Innovation by Graduate School of National University of Defense Technology(No.B140106) 

主　　题：Lorentz dynamical dipole spacecraft propulsion validity orbital integer formulated constraints 

摘      要：A charged spacecraft is subject to the Lorentz force when it orbits a central body with a magnetic field. The induced Lorentz force provides a new mean of propellantless electromagnetic propulsion for orbital control. Modeling the Earth magnetic field as a tilted dipole that co-rotates with the Earth, this paper develops a nonlinear dynamical model that describes the relative motion of the Lorentz spacecraft about an arbitrary reference orbit. Based on the proposed dynamical model, feasibility of Lorentz-propelled rendezvous with no restrictions on the initial states is investigated. The rendezvous problem is then formulated as an optimal control problem, and solved with the Gauss pseudospectral method（GPM）. Numerical simulations substantiate the validity of proposed model and method, and results show that the propellantless rendezvous is achieved at both fixed and free final time.