| 高斯投影复变函数表示的实数解 |
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| 引用本文： | 金立新,许常文,魏桂华.高斯投影复变函数表示的实数解[J].海洋测绘,2017(2):27-31. |
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| 作者姓名： | 金立新 许常文 魏桂华 |
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| 作者单位： | ;1.中铁第一勘察设计院集团有限公司;2.甘肃铁道综合工程勘察院有限公司 |
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| 基金项目： | 国家自然科学基金(41574009) |
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| 摘 要： | 在高斯投影复变函数表示的基础上,给出基于复数等角纬度、复数底点纬度的推导过程,得到了高斯投影正反解公式的实数解。其次,基于复数等角纬度,推导出子午线收敛角、长度比的复数表现形式。最后,给出了高斯投影正反解的计算过程。基于复数纬度的高斯投影,其计算精度不受带宽的限制,对于高斯投影理论有一定改善。
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| 关 键 词： | 高斯投影 等角纬度 等量纬度 底点纬度 复变函数 |
Real Solution of Gauss Projection Based on Complex Function |
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| JIN Lixin,XU Changwen,WEI Guihua.Real Solution of Gauss Projection Based on Complex Function[J].Hydrographic Surveying and Charting,2017(2):27-31. |
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| Authors: | JIN Lixin XU Changwen WEI Guihua |
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| Abstract: | On the basis of complex function Representation of Gauss projection,the derivation process based on the complex conformal latitude and complex equal angle latitude of pedal is given to get the real solution of Gauss projection scheme.Secondly,based on the complex conformal latitude,the complex function representation of the meridian convergence angle and length ratio is deduced.Finally,the calculation formula about Gauss projection scheme is given.Based on the complex function latitude,the Gauss projection calculation accuracy is not limited by the projection zone width and has a certain improvement for Gauss projection theory. |
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