| 基于Hill方程的编队初始化误差分析 |
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| 引用本文： | 曹喜滨,贺东雷. 基于Hill方程的编队初始化误差分析[J]. 飞行力学, 2008, 26(6) |
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| 作者姓名： | 曹喜滨 贺东雷 |
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| 作者单位： | 哈尔滨工业大学,卫星技术研究所,黑龙江,哈尔滨,150080 |
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| 基金项目： | 国家重大基础研究项目 |
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| 摘 要： | Hill方程具有形式简单、方便编队队形设计和队形保持控制律的设计等优点.然而,由于Hill方程自身模型误差的存在,导致基于Hill方程初始化所建立的队形具有一定的误差.针对这个问题,基于保留二阶非线性项的、改进形式的Hill方程和考虑偏心率的Lawden方程,分别在非线性和偏心率的影响下,分析了初始化队形的长期漂移和相对运动误差问题,分别给出了针对非线性和偏心率影响的修正初始化相对速度,从而消除队形的长期漂移,修正或减小相对运动误差.最后通过数值仿真进行了验证.
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| 关 键 词： | 卫星编队 Hill 方程 非线性 偏心率 编队初始化 |
Error Analysis of Hill Equation-Based Formation Initialization |
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| CAO Xi-bin,HE Dong-lei. Error Analysis of Hill Equation-Based Formation Initialization[J]. Flight Dynamics, 2008, 26(6) |
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| Authors: | CAO Xi-bin HE Dong-lei |
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| Affiliation: | Research Center of Satellite Technology;Harbin Institute of Technology;Harbin 150080;China |
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| Abstract: | Clohessy-Wiltshire(Hill) equation has so many advantages.For example,it is simple and convenient for design of formation and formation keeping control laws.However,owing to existence of modeling error itself,the established formation based on Hill equation has a certain degree of error.Aiming at this situation,based on modified Hill equation accounting for second order nonlinearity and Lawden equation accounting for eccentricity,the problem that secular drift and formation error will be caused when it is in... |
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| Keywords: | satellites formation Hill equation nonlinearity eccentricity formation initialization |
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