基于双台链罗兰C导航仪的双曲线导航定位算法
The calculation research of hyperbolic navigation position fixing based on double station chains loran c navigator
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摘要: 该文提出了一种直接解法与牛顿迭代计算相结合的方法来求解船位。首先用直接解法在球面上求得组合双曲线方程组的一个解,当作船位的概位解,然后应用牛顿迭代法,求解△,△,当此差值小于某个预先给定的收敛门限时,则所求船位为真实解。一般只要选代二、三次就可得到秒级精度的船位解。
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关键词:
- 双台链罗兰C; 双曲线导航; 牛顿迭代法
Abstract: This paper presents a method which links direct solution and Newton iterative method to calculate ship s position. First, a result of the combination hyperbolic equations is got using the direct solution on the sphere and is taken as the ship s approximate position. Then, Newton iterative method is applied to caculate △ and AA. When △ and △ are less than which is given as a convergent standard beforehand, the ship s position calculated is the correct one. In general, only iterating two or three times, the calculating accuracy is about one second. -
秦卫华,杨致友,等,多台链罗兰C信号搜索方法研究,导航,1996,32(2),53-58.[2]丁佳波,关于不同台链组合双曲线导航系统的定位计算,导航,1994,30(4),70-77[3]杨致友,罗兰导航数学方法,西安,西北工业大学出版社,1991,177-244.[4]G.W.A. Offermans.[J].D. van Willigen, A. W. S. Helwig, Vincent, Loran-C Galileo, An European navigation solution, Proc. of the 29th Annual Technical Symposium of the International Loran Association, Paris, November.2000,:- -
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