| 卫星拦截问题中轨道离心率的求解 |
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| 引用本文： | 沈光先.卫星拦截问题中轨道离心率的求解[J].南昌大学学报(理科版),2004,28(3):289-292. |
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| 作者姓名： | 沈光先 |
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| 作者单位： | 贵州师范大学,理学院,贵州,贵阳,550001 |
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| 摘 要： | 讨论了体力学中的卫星拦截问题。在同一圆形轨道上以相同速率运动的两颗卫星，它们的初始位置不同，卫星2领先于卫星1，若使卫星1以另一速度进入转移轨道，就可实现对卫星2的拦截。根据物体在中心力场中的运动方程和几何学中的圆锥曲线方程，推导出拦截过程中转移轨道离心率e的超越方程，采用穷举搜索法，利用ForTran语言程序对导出的超越方程进行求解。解出的转移轨道离心率精度达10^-6。
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| 关 键 词： | 超越方程 求解 中心力场 离心率 运动方程 圆形轨道 几何学 圆锥曲线方程 力学 物体 |
| 文章编号： | 1006-0464(2004)03-0289-00 |
| 修稿时间： | 2003年1月28日 |
SOLVING PROCESS OF TRACK'S CENTRIFUGAL RATE E IN THE INTERCEPTING PROCESS OF TWO SATELLITES |
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| SHEN Guang-xian.SOLVING PROCESS OF TRACK''''S CENTRIFUGAL RATE E IN THE INTERCEPTING PROCESS OF TWO SATELLITES[J].Journal of Nanchang University(Natural Science),2004,28(3):289-292. |
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| Authors: | SHEN Guang-xian |
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| Abstract: | The topic of intercepting of two satellites in celestial mechanics is discussed. In this case, there are two satellites in a same circular orbit, and satellite 1 is ahead of satellite 2. Satellite 2 can be intercepted by the other if satellite 1 has been given a appropriate speed and goes into a corresponding transferring orbit. The transcendental equation of the transferring orbit's centrifugal rate e in the intercepting process has been deduced by using the object motion equation in a central field and the corresponding conic equation, and the source program in ForTran language for solvating it by using the method of searching to the end has also been given,with a precision up to of the centrifugal rate of the transferring orbit. |
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| Keywords: | transferring orbit centrifugal rate transcendental equation |
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