Orbit control strategy for Lagrange point orbits based on an analytical method

作     者：Lü Jing LU QiShao WANG Qi 

作者机构：School of Aeronautics Science and Engineering Beihang University 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2013年第56卷第4期

页      面：830-839页

核心收录：

学科分类：08[工学] 081105[工学-导航、制导与控制] 0811[工学-控制科学与工程] 

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 10832004 and 11102006) the Fan-Zhou Foundation (Grant No. 20110502) 

主　　题：analytical method control strategy Lagrange point periodic or quasi-periodic orbit 

摘      要：The periodic or quasi-periodic orbits around collinear Lagrange points present many properties that are advantageous for space missions. These Lagrange point orbits are exponentially unstable. On the basis of an analytical method, an orbit control strategy that is designed to eliminate the dominant unstable components of Lagrange point orbits is developed. The proposed strategy enables the derivation of the analytical expression of nonlinear control force. The control parameter of this strategy can be arbitrarily selected provided that the parameter is considerably lower than the negative eigenvalue of motion equations, and that the energy required keeps the same order of magnitude. The periodic or quasi-periodic orbit of controlled equations remains near the periodic or quasi-periodic orbit of uncontrolled equations.