| 基于二次方程组的邻近圆轨道四冲量最优交会 |
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| 引用本文： | 陈长青,解永春.基于二次方程组的邻近圆轨道四冲量最优交会[J].空间控制技术与应用,2009,35(6):45-49. |
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| 作者姓名： | 陈长青 解永春 |
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| 作者单位： | 北京控制工程研究所,北京,100190;空间智能控制技术国家级重点实验室,北京,100190 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究了一种基于二次方程组的邻近圆轨道四冲量最优交会的求解方法．给出邻近圆轨道交会的无量纲化动力学方程及相应的基向量方程，介绍由Carter提出的一种基于二次方程组的四冲量最优交会的求解方法，在提出邻近圆轨道最优冲量交会的原始解、相反解、对偶解、对偶相反解概念的基础上，分析基于二次方程组的四冲量最优交会的求解方法存在的问题，并给出修正方法．仿真结果表明，该方法是对Carter提出的基于二次方程组的四冲量最优交会求解方法的有效补充．
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| 关 键 词： | 邻近圆轨道 四冲量最优交会 二次方程 组 |
Quadratic-Based Computation of Four-Impulse Optimal Rendezvous between Near Circular Orbits |
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| CHEN Changqing,XIE Yongchun.Quadratic-Based Computation of Four-Impulse Optimal Rendezvous between Near Circular Orbits[J].Aerospace Contrd and Application,2009,35(6):45-49. |
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| Authors: | CHEN Changqing XIE Yongchun |
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| Institution: | CHEN Changqing, XIE Yongchun (1. Beijing Institute of Control Engineering, Beijing 100190, China; 2. Nationalkey Key Laboratory of Science and Technology on Space Intelligent Control, Beijing 100190, China) |
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| Abstract: | In this paper, a method of solving quadratic equations-based four-impulse optimal rendezvous between near circular orbits is investigated. Dimensionless dynamics equations for rendezvous between near circular orbits and their corresponding primer vector equations are introduced. And the method of quadratic equations-based four-impulse optimal rendezvous presented by Carter is explained. Then four concepts including original solution, reciprocal solution, dual solution and dual reciprocal solution of rendezvous between near circular orbits are given. By using these concepts the problems of solving quadratic equations-based fourimpulse optimal rendezvous are analyzed, and a modifying method is given. The simulation results show that the modifying method is a good supplement for the method of quadratic equations-based four-impulse optimal rendezvous. |
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| Keywords: | near circular orbit four-impulse optimal rendezvous quadratic equations |
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