| 常用纬度差异极值符号表达式 |
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| 引用本文： | 李忠美,李厚朴,边少锋.常用纬度差异极值符号表达式[J].测绘学报,2014,43(2):214-220. |
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| 作者姓名： | 李忠美 李厚朴 边少锋 |
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| 作者单位： | 1. 海军工程大学;
2. 海军工程大学导航工程系 |
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| 基金项目： | 国家自然科学基金(41071295;41201478) |
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| 摘 要： | 对测量和地图学中六种常用纬度进行全面系统的比较，借助计算机代数系统推导出常用纬度间的差异极值点及对应差异极值的符号表达式，并将其表示为关于偏心率的幂级数形式；以CGCS2000椭球为例，将各纬度间的差异明确到数值上。结果表明，辅助纬度与大地纬度的差异极值点均在右侧；地心纬度与大地纬度差异极值最大，归化纬度与大地纬度差异极值最小。这些研究结果可为大地测量及地图投影提供理论依据。
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| 关 键 词： | 大地纬度 辅助纬度 差异极值 极值点 符号表达式 CGCS2000 |
| 收稿时间： | 2012-07-09 |
| 修稿时间： | 2013-01-17 |
Symbolic Expressions of Difference Extrema Between Regular Latitudes |
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| Shaofeng Bian.Symbolic Expressions of Difference Extrema Between Regular Latitudes[J].Acta Geodaetica et Cartographica Sinica,2014,43(2):214-220. |
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| Authors: | Shaofeng Bian |
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| Abstract: | Systematic comparisons of six regular latitudes in geodesy and cartography were carried out. Symbolic expressions of difference extreme points with corresponding extrema between these six regular latitudes were derived and expressed in a power series of eccentricityby computer algebra system. Taking CGCS2000 reference ellipsoid for example, differences between regular latitudes were shown through numerical values. The results show that difference extreme points between auxiliary and geodetic latitudes are all at the right side of. Difference extremum between geocentric and geodetic latitudes is the largest, while the one between reduced and geodetic latitudes is the smallest. The findings could provide theoretical basis for geodetic surveying and map projection. |
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