| 贝塞尔大地主题反解的改进算法 |
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| 引用本文： | 史国友,赵庆涛,王玉梅,贾传荧.贝塞尔大地主题反解的改进算法[J].交通运输工程学报,2009,9(1). |
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| 作者姓名： | 史国友 赵庆涛 王玉梅 贾传荧 |
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| 作者单位： | 史国友,赵庆涛,贾传荧,SHI Guo-you,ZHAO Qing-tao,JIA Chuan-ying(大连海事大学,航海学院,辽宁,大连,116026);王玉梅,WANG Yu-mei(青岛港(集团)有限公司,安技部,山东,青岛,266011)
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| 摘 要： | 为了解决目前贝塞尔大地主题反解算法不统一与存在适用条件限制的问题,根据球面三角形正、余弦定理和拉格朗日级数理论,用计算机代数系统推导并给出一种改进的大地主题直接反解的微分改正方法.该算法消除了逐次趋近计算,适用传统反解算法中的奇异情况,解决了求解三角方程中方位角的多值对应问题.试验结果表明,当大地线长度小于20 000 km时,算法精度高达0.000 1 s,具有通用性,特别适用于电算化,对远洋大地线航法计算具有一定的应用价值.
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| 关 键 词： | 大地测量 大地主题反算 大地距离 大地线航法 贝塞尔公式 |
Improved algorithm for inverse solution of Bessel's geodetic problem |
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| SHI Guo-you,ZHAO Qing-tao,WANG Yu-mei,JIA Chuan-ying.Improved algorithm for inverse solution of Bessel's geodetic problem[J].Journal of Traffic and Transportation Engineering,2009,9(1). |
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| Authors: | SHI Guo-you ZHAO Qing-tao WANG Yu-mei JIA Chuan-ying |
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| Abstract: | In order solve the nonuniform algorithms of Bessel's inverse problem and the application restrictions of the algorithms,sine and cosine theories based on sphere triangle and Lagrange series theory were analyzed,and an improved arithmetic of differential correction for the direct inverse solution of geodetic problem was put forward by using computer algebra system. Simulation result shows that the improved algorithm is suitable for the arbitrarily special situations without iterative calculations,and has hig... |
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| Keywords: | geodetic surveying inverse solution of geodetic problem geodesic distance geodesic line sailing Bessel formula |
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