基于雙臺鏈羅蘭C導航儀的雙曲線導航定位算法
The calculation research of hyperbolic navigation position fixing based on double station chains loran c navigator
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摘要: 該文提出了一種直接解法與牛頓迭代計算相結合的方法來求解船位。首先用直接解法在球面上求得組合雙曲線方程組的一個解,當作船位的概位解,然后應用牛頓迭代法,求解△,△,當此差值小于某個預先給定的收斂門限時,則所求船位為真實解。一般只要選代二、三次就可得到秒級精度的船位解。
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關鍵詞:
- 雙臺鏈羅蘭C; 雙曲線導航; 牛頓迭代法
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. -
秦衛(wèi)華,楊致友,等,多臺鏈羅蘭C信號搜索方法研究,導航,1996,32(2),53-58.[2]丁佳波,關于不同臺鏈組合雙曲線導航系統(tǒng)的定位計算,導航,1994,30(4),70-77[3]楊致友,羅蘭導航數(shù)學方法,西安,西北工業(yè)大學出版社,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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