Coordinate Transformation between Two Geodesic Coordinate Systems

Another type of geodesic coordinate system with length quantity as coordinate parameter is present for the first time in our last paper .Expressed by length quantities u=s y,v=s x ,two curvilinear coordinates or parameters are defined in that paper, with which two coordinate curves are constituted on the earth ellipsoid and vertical each other.The formula for the scale factor of length of geodesic parallel lines is derived. It is shown that this scale factor depends on the length of geodesic parallel line from the point to the initial v coordinate curve. In order to indicate points on the earth ellipsoid ,this form of the geodesic coordinate system is superior in some aspects to the conventional geodesic coordinate system i.e. geodetic coordinate system. We demonstrate that those two types of geodesic coordinate system are regular coordinate systems with their limited regions, then we proposed the fundamental and method of coordinate transformation between two geodesic coordinate systems. Illustrations are given to show their validity. On this basis, it becomes possible that geodesic coordinate system is introduced into DEM and 3DGIS model.