GEODETIC POINTS COORDINATES TRANSITION SIMULATION FROM THE ELLIPSOID SURFACE INTO THE SPACE CONFORMAL GAUSS-KRUGER PROJECTION

Abstract

Aim. In this paper we calculated the abscissa dynamics and ordinate of differences in latitude and analysis geodetic points coordinates in the ellipsoid coordinates into the conformal Gauss-Kruger projection. It is described the classical formula of conformal projection.

Methods. Coordinate transition from one system to another in geodesy is the most urgent task that we faces to every day. Currently, especially the use of satellite positioning systems, the measured values (pseudo) are converted into coordinates of positioning points of rectangular geocentric coordinate system X, Y, Z. Next, the points coordinates from this system are converted to geodetic coordinate system to a particular model of the ellipsoid B, L and H, then they are transferred to a flat, rectangular coordinate system x, y. Below are the classic formula and transition method from geodetic coordinate system to a space rectangular zonal system in conformal Gauss-Kruger projection are given.

Results. In order visualization of the translation coordinate computation results are given graphically according to latitude one degree. From given calculation that the difference between the x-points have a linear positive trend on the mid-latitudes and the positive and negative non-linear dynamics of the equator to the pole, respectively. The linearity of the negative dynamics of the ordinate differences from the equator to middle latitudes and on the northern latitudes, these differences have a nonlinear negative.

Conclusion. It is found that only a rectangular coordinate on the plane, being well isometric create a network of equal squares.