关键词: 大地纬度, 辅助纬度, 差异极值, 极值点, 符号表达式, CGCS2000

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.

Key words: geodetic latitude, auxiliary latitudes, difference extrema, extreme point, symbolic expression, CGCS2000