| 线性相对运动的正切拦截和正切交会轨道研究 |
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| 引用本文： | 王东哲,张刚,曹喜滨.线性相对运动的正切拦截和正切交会轨道研究[J].宇航学报,2013,34(11):1434-1441. |
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| 作者姓名： | 王东哲 张刚 曹喜滨 |
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| 作者单位： | 哈尔滨工业大学卫星技术研究所，哈尔滨 150080 |
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| 基金项目： | 国家自然科学基金项目(61273096) ；中国博士后科学基金项目(2012M520753);黑龙江省博士后基金项目(LBH-Z12125) |
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| 摘 要： | 针对冲量方向与追踪器速度方向相同的正切轨道问题，用线性相对运动方程研究了正切于初始轨道和正切于目标轨道的共面轨道拦截和轨道交会问题。得到初始和终端时刻的相对速度向量的解析表达式，定义了两个关于目标真近点角的单变量函数，于是正切拦截和正切交会问题等价于这两个函数分别等于零，最后用割线法求解这两个函数的数值解。根据能量最优要求，考虑初始漂移段，分析了一个周期内的最佳初始正切冲量点。仿真结果校验了本文提出的方法。
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| 关 键 词： | 椭圆轨道 相对运动 正切冲量 轨道拦截 轨道交会 |
| 收稿时间： | 2012-12-20 |
A Study on Tangent Interception and Tangent Rendezvous Orbits Based on Linear Relative Motion |
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| WANG Dong zhe,ZHANG Gang,CAO Xi bin.A Study on Tangent Interception and Tangent Rendezvous Orbits Based on Linear Relative Motion[J].Journal of Astronautics,2013,34(11):1434-1441. |
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| Authors: | WANG Dong zhe ZHANG Gang CAO Xi bin |
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| Affiliation: | Research Center of Satellite Technology, Harbin Institute of Technology, Harbin 150080, China |
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| Abstract: | For the tangent orbit problem with impulse and chaser’s velocity in the same direction, by using the linear relative motion equations the coplanar orbit interception and orbit rendezvous problems tangent to the initial orbit and the final orbit are studied. The analytical expressions for relative velocities at initial and final times are obtained, and then two functions only about the final true anomaly are defined. These two functions are equal to zero in the orbit interception and the orbit rendezvous problems, respectively. Then the secant method is used to obtain the numerical solutions. For the minimum cost demand, the initial coasting time is considered, and the optimal first tangent\|impulse time is analyzed. Simulation results are used to verify the proposed method. |
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| Keywords: | Elliptical orbits Relative motion Tangent impulse Orbit interception Orbit rendezvous |
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