New Coordinate System by Using Five Geodetic Projections in One Zone

Abstract—The modern technologies and developments in computers and Global Positioning System (GPS) as well as Geographic Information System (GIS), become very important in present time in mapping and coordinate system. This paper presents a new system of coordinates by a harmonic equations “United projections”, who have five projections (Mercator, Lambert, Russell, Lagrange, and the compound of the projection) in one zone coordinate system width 12 degrees, also it has 3 degrees for overlap between zones, as well as five standards parallels for zone from equator to 75 North (South). Also this paper presents two cases; first case is to compare distances between the new coordinate system and UTM, second case creating local coordinate system for city of Hong-Kong for measuring the distances directly from rectangular coordinates using Mercator, Lambert and UTM projection. All results compared by geodesy indirect problems.