| 恒向线主题直接正反解的高精度算法 |
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| 引用本文： | 史国友,朱公志,王玉梅,贾传荧.恒向线主题直接正反解的高精度算法[J].大连海事大学学报(自然科学版),2009,35(2). |
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| 作者姓名： | 史国友 朱公志 王玉梅 贾传荧 |
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| 作者单位： | 史国友,朱公志,贾传荧(大连海事大学,航海学院,辽宁,大连,116026);王玉梅(青岛港(集团)有限公司,安技部,山东,青岛,266011) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 为提高精度、统一算法,应用拉格朗日级数理论和计算机代数系统,推导了经线弧长和等量纬度的计算公式,提出基于墨卡托投影的恒向线主题正反算法.该算法不需要迭代,应用数学上角度的定义解决了恒向线主题反解中方位角的解算问题,且不需要进行象限判定.结果表明,该算法计算精度高,具有通用性,特别适用于电算化,对船舶的航迹计算和电子海图中的航线设计具有一定的应用价值.
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| 关 键 词： | 恒向线主题 正反算 经线弧长 等量纬度 底点纬度 |
High accurate algorithm for forward and inverse solution of rhumb line's problem |
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| SHI Guo-you,ZHU Gong-zhi,WANG Yu-mei,JIA Chuan-ying Limited Company,Qingdao ,China.High accurate algorithm for forward and inverse solution of rhumb line's problem[J].Journal of Dalian Maritime University,2009,35(2). |
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| Authors: | SHI Guo-you ZHU Gong-zhi WANG Yu-mei JIA Chuan-ying Limited Company Qingdao China |
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| Institution: | SHI Guo-you1,ZHU Gong-zhi1,WANG Yu-mei2,JIA Chuan-ying1(1.College of Navigation,Dalian Maritime University,Dalian 116026,China,2.Department of Safe Technology,Qingdao Port(Group) Limited Company,Qingdao 266011,China) |
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| Abstract: | To improve the precision and unify the algorithm,an arithmetic for forward and inverse solution of rhumb line problem based on Mercator projection was presented,and the meridian arc length and isometric latitude were derived by applying lagrange theory and the computer algebra system.The algorithm has solved the azimuth calculating question without iterative calculations,which need not to make the quadrant determination for the azimuth.Results show that the algorithm has high precision and accords with the ... |
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| Keywords: | rhumb line problem forward and inverse solution meridian arc length isometric latitude pedal latitude |
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