Level of adaptability of five conic map projection variants on Macedonian national area as state map projection

Abstract

Nowadays a large number of cartographic projections are used for many purposes; some of them are utilized as cartographic state projections. In the Republic of Macedonia the Gauss-Krüger projection is in use as official state cartographic projection. Regarding the position of the territory and the criteria that the state projection has to fulfill, the Gauss-Krüger projection is not the most favorable projection for projecting the state territory. The goal of this paper is the comparison of the state projection with all variants of conformal cone projections while analyzing the results. From the obtained results, it is defined that the average linear deformation in the first variant is 1.98 cm/km, in the second variant is 1.96 cm/km, in the third variant 2.61 cm/km, in the fourth variant 1.78 cm/km and in the fifth variant is 2.95 cm/km. These values are smaller when compared to the average linear deformation of Gauss-Krüger projection that is 8.49 cm/km. The conformal cone projections enable symmetrical dispersion of the isograms, and the maximal linear deformation is 8.49 cm/km. While with the Gauss-Krüger projection the maximal value of the linear deformation is 25.4 cm/km.

Keywords

• state cartographic projection
• cone projection
• deformations
• linear scale
• isograms