| 贝塞尔大地主题正解的改进算法 |
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| 引用本文： | 史国友,周晓明,贾传荧.贝塞尔大地主题正解的改进算法[J].大连海事大学学报(自然科学版),2008,34(1):15-19. |
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| 作者姓名： | 史国友 周晓明 贾传荧 |
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| 作者单位： | 大连海事大学航海学院 辽宁大连116026 |
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| 基金项目： | 国家自然科学基金资助项目(60774046) |
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| 摘 要： | 为解决目前贝塞尔大地主题正解算法中存在的问题,应用球面三角形正余弦定理和三角级数回求方法,给出一种适用于任意条件的大地主题正解的改进算法.该算法不需要迭代计算,适用传统正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.仿真结果表明,该算法与距离长短无关,适用于任意特殊情形,具有通用性,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： | 大地主题解算 大地主题正算 大地距离 大地方位角 大地线航法 贝塞尔公式 |
| 文章编号： | 1006-7736（2008）01-0015-05 |
| 收稿时间： | 2007-12-05 |
| 修稿时间： | 2007年12月5日 |
Improved algorithm for direct solution of Bessel's geodetic problem |
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| SHI Guo-you,ZHOU Xiao-ming,JIA Chuan-ying.Improved algorithm for direct solution of Bessel's geodetic problem[J].Journal of Dalian Maritime University,2008,34(1):15-19. |
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| Authors: | SHI Guo-you ZHOU Xiao-ming JIA Chuan-ying |
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| Abstract: | This paper presented an improved arithmetic for direct solution of geodetic problem in all conditions to cope with Bessel's direct geodetic problems.Sine and cosine theory and the reverse solution of trigonometric series were applied.Simulation results show that the improved algorithm has nothing to do with the distance,and is suitable for the arbitrarily special situations without iterative calculations.The azimuth multiple-valued corresponding problem in the solution of trigonometric equation was solved.The improved algorithm can be applied in the area of ocean geodetic line sailing computation. |
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| Keywords: | solution of geodetic problem direct solution of geodetic problem geodesic distance geodetic azimuth geodesic sailing Bessel formula |
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