| 大地主题问题的非迭代新解 |
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| 引用本文： | 纪兵,边少锋.大地主题问题的非迭代新解[J].测绘学报,2007,36(3):269-273. |
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| 作者姓名： | 纪兵 边少锋 |
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| 作者单位： | 海军工程大学,导航工程系,湖北,武汉,430033;海军工程大学,导航工程系,湖北,武汉,430033 |
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| 基金项目： | 国家自然科学基金项目(40644020)，国家杰出青年科学基金项目(40125013) |
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| 摘 要： | 首先对大地主题问题解算中的符号体系进行改进与统一,使之更符合大地测量的使用习惯;在此基础上讨论非迭代的大地主题问题的正反解,借助计算机代数系统Mathematica推导更准确的正解公式,得到非迭代的反解公式,与以往的解算相比该公式具有更简明的数学表达形式。该过程丰富和完善了大地主题问题的解算体系。最后进行正反解的数据验证。
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| 关 键 词： | 大地主题问题 大地线 法截线 Mathematica |
| 文章编号： | 1001-1595（2007）03-0269-05 |
| 修稿时间： | 2006-08-16 |
The New Non-iterative Solution to the Geodetic Problem |
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| JI Bing,BIAN Shao-feng.The New Non-iterative Solution to the Geodetic Problem[J].Acta Geodaetica et Cartographica Sinica,2007,36(3):269-273. |
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| Authors: | JI Bing BIAN Shao-feng |
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| Institution: | Institute of Navigation, Naval University of Engineering, Wuhan 430033, China |
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| Abstract: | This paper introduces new symbol system in solution of geodetic problem,the purpose of the paper is to make the expression conformable to the customs in geodesy and easy to be calculated.Then,the paper discusses the direct and inverse solution to the geodetic problem.With the help of the computer algebra system Mathematica,the paper derives the more accurate formulas for the direct geodetic problem,and gets the non-iterative formulas for the inverse geodetic problem,which are more concise and simple than the previous ones.The investigation in the paper improves and enriches the knowledge on the problem computation.The numerical computation is attached to check the accuracy of the derived formulas. |
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| Keywords: | geodetic problem geodesic normal section Mathematica |
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