Derivation of Mathematical Equations to Calculate the Geographical Coordinates of Unknown Position Situated at a Distance from the Observer Position Using GPS Data

Abstract

This research introduced the derivation of mathematical equations to calculate the Cartesian and geographical coordinates of a site situated at a far distance from the observer position by using GPS data. The geographical coordinates (ϕobs., λ obs., hobs.) for observer position were transformed to Cartesian coordinates (X obs., Y obs., Z obs.) of observer position itself. Then the Cartesian coordinates of unknown position mathematically were calculated from these calculated equations, and its transformed to geographical coordinates of (ϕunk., λunk.) position.

Keywords

• :Global Positioning System (GPS), Geographical & Cartesian Coordinates, Geodetic science, World Geodetic System (WGS-84).