摘要
对测量和地图学中6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e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π/4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。
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 eccentricity e by 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 π/4. Difference extre- mum 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.
出处
《测绘学报》
EI
CSCD
北大核心
2014年第2期214-220,共7页
Acta Geodaetica et Cartographica Sinica
基金
国家自然科学基金(41071295
41201478)
