Harmonization of different type of coordinate systems used for North Macedonian official spatial data

Bashkim Idrizi

doi:10.5194/ica-proc-2-46-2019

Abstract

Abstract. From the beginning of developing vector data sets in Macedonia, till now, three type of coordinate values for North Macedonian spatial data have been used.Law for real estate cadaster and Regulation for basic geodetic works are the official legal bases for definition of official state coordinate system. In both legal documents, state coordinate system is defined by Ellipsoid of Bessel 1841, Datum of Hermannskogel, and Gauss-Kruger projection with central meridian 21° E, scale factor 0.9999, false easting 500000 m, false northing 0 m and 7th projecting zone per 3°. Based on mentioned parameters, the coordinate systems EPSG 6204 and EPSG 6316 are defined and internationally recognized. The core deferens between them is false easting value. As a result of both coordinate systems parameters, the values of easting coordinates are far from each other for 7000 km!Beside EPSG 6204 and 6316, official spatial data sets defined in CAD software were digitized by excluding first digits of easting and northing coordinates, by excluding digits 7 for easting and 4 for northing coordinates of spatial data.Using three types of coordinate values, requires process of data harmonization before their usage in same project, in order to reach the spatial data overlapping. Third type of coordinate system, due to the lack of coordinate system parameters, can not be automatically overlapped with data defined in EPSG6204 and EPSG6316, which requires defining of intermediate coordinate system for third type of data in order to establish the mathematical base for data harmonization/overlapping by transformation of coordinates between three systems.

Highlights

IntroductionThe reference coordinate system of the North Macedonia, was established in the third decade of nineteenth century, as part of Kingdom of Yugoslavia, performed by the Military Geographic Institute in Belgrade
The reference coordinate system of the North Macedonia, was established in the third decade of nineteenth century, as part of Kingdom of Yugoslavia, performed by the Military Geographic Institute in Belgrade.Geodetic datum of the Austro-Hungarian monarchy, based on fundamental point Hemrannskogel in the hill near Vienna in Austria, have been used as basement for establishing of state coordinate system of Kingdom of Yugoslavia
North Macedonians state coordinate system as independent country is defined and internationally recognized by EPSG database for coordinate systems worldwide with codes 6316 and 6204. The difference between both coordinate reference systems is the value of false easting, i.e. EPSG 6204 is defined based on the Law with 500000m false easting (+proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=0 +ellps=bessel +units=m +no_defs), while the EPSG 6316 is defined with non-legal false easting value 7500000m (+proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=7500000 +y_0=0 +ellps=bessel +units=m +no_defs) based on coordinate reference system inherited from the former Yugoslavia with three projecting zones by using 7500000m as false easting

Summary

Introduction

The reference coordinate system of the North Macedonia, was established in the third decade of nineteenth century, as part of Kingdom of Yugoslavia, performed by the Military Geographic Institute in Belgrade. Geodetic datum of the Austro-Hungarian monarchy, based on fundamental point Hemrannskogel in the hill near Vienna in Austria (figure 1), have been used as basement for establishing of state coordinate system of Kingdom of Yugoslavia. Projecting meridian zones (15, 18 and 21°E), based on the Greenwich as reference (prime) meridian, with linear scale 0.9999 along the central meridians (secant projection case) and false easting value of 500000m for each projecting zone, was adopted in year 1924 for the whole Kingdom of Yugoslavia (Idrizi, Pashova et all 2018). In figure 2, coverage of the area of former Yugoslavia with 5th, 6th and 7th projecting zones, based on central meridians 15, 18 and 21°E is shown. Projecting zone, even though the distortions in map projection exceeded the value of 10cm/km

State coordinate system of the Republic of North Macedonia

Coordinate reference systems used for spatial data in the North Macedonia

Conclusions