| 空间近程高速相对运动方程的状态转移矩阵 |
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| 引用本文： | 周英,闫野,谭丽芬,唐国金.空间近程高速相对运动方程的状态转移矩阵[J].飞行力学,2011,29(4). |
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| 作者姓名： | 周英 闫野 谭丽芬 唐国金 |
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| 作者单位： | 国防科学技术大学航天与材料工程学院,湖南长沙,410073 |
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| 基金项目： | 国家高技术研究发展计划资助项目(2008AA8091404) |
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| 摘 要： | 分析了空间近程高速相对运动的特点,建立了描述近程高速相对运动的线性微分方程组,并给出了状态转移矩阵与解析解。仿真结果表明:对于HEO-GEO近程高速相对运动,所建方程的相对距离计算误差仅为16 cm,不足Hill方程计算误差的15%。所给出的状态转移矩阵对于实现空间目标拦截等任务的实时高精度相对导航和制导算法具有一定的应用价值。
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| 关 键 词： | 近程高速相对运动 状态转移矩阵 大椭圆轨道 |
State transition matrix of high speed relative motion equations in space short range |
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| ZHOU Ying,YAN Ye,TAN Li-fen,TANG Guo-jin.State transition matrix of high speed relative motion equations in space short range[J].Flight Dynamics,2011,29(4). |
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| Authors: | ZHOU Ying YAN Ye TAN Li-fen TANG Guo-jin |
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| Institution: | ZHOU Ying,YAN Ye,TAN Li-fen,TANG Guo-jin(College of Aerospace and Material Engineering,NUDT,Changsha 410073,China) |
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| Abstract: | Based on the characteristics of high speed relative motion equations in short range,this paper derived the system of linear differential equations.The state-transition matrix and analytic solution were also presented.Simulation results showed that the max error of the solution,which applied to relative motion between high eccentric orbit(HEO) and geosynchronous earth orbit(GEO) with relative range less than 100 km,was about 16 cm.The error was about only 15 percent of the max error of Hill's equation.The st... |
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| Keywords: | high speed relative motion in short range state transition matrix high eccentric orbit |
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