Comparison Convert Geographic Coordinates with UTM coordinates

Abstract

The comparison converts the geographic coordinates (f,l) to The Universal Transverse Mercator coordinates (N, E). Computational of the coordinate system that is concerned to Datum, Coordinates System, and Map Projection. Using the formula of equations of NGS (Nation Geodetic Survey), Kruger, Snyder, Redfearn as equations to calculate and convert coordinate system. Comparison of coordinate systems forward and Inverse formulas equations and compare values ​​between formulas equations. Datum use ellipsoid (WGS84: World Geodetic System 1984). Map Projection use Transverse Mercator is Conformal.

Geographic coordinate data from Thailand High-Resolution Geoid Model Development Project. By selecting the coordinate data to represent each province. Calculation and conversion of coordinate system using Excel program. By calculating on sheets  and writing VBA programs on Excel

Calculation result converts the geographic coordinates (f,l) to The Universal Transverse Mercator coordinates (N, E) and converts them from The Universal Transverse Mercator coordinates (N, E) to geographic coordinates (f,l) In each formula di, the error is less than a millimeter and less than 0.001 second. The difference between the geographic coordinates of 0.001 second and the UTM coordinates is less than a millimeter.

The comparison converts the geographic coordinates (f,l) to The Universal Transverse Mercator coordinates (N, E) makes it possible to understand and apply formula equations to calculate correctly. Each equation has a different proof of the formula, and simplified calculations are improved. They all depend on the distance. Which there are still many formulas and it gave acceptable results in survey engineering.