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Transcript
GPS Overview Horizontal Coordinate Systems Survey projects use horizontal coordinates on either a local plane or a map projection. For small projects, you can assume a simple flat earth plane and calculate coordinates directly with measured distances. Use Ground - TDS Localization mode for this procedure. For large projects, a mapping plane is used to accurately represent the curved surface of the earth on a flat plane and conventionally measured distances need to be scaled to the mapping plane grid. Map Projections A map projection uses equations to transform local latitude and longitude into (y,x) Cartesian coordinates on a flat plane. Map projections attempt to minimize distortions to the following properties7: • Conformality A map projection is conformal when local angles are preserved. Conformal maps are important for surveying because, for second order surveys, angles measured on the ground are angles on the map. Meridians (lines of longitude) and parallels (lines of latitude) intersect at right angles and shape is preserved locally. The physical characteristic of conformality is that the scale factor at any point on the map is the same in all directions. • Distance A map projection is equidistant when it correctly plots distances from the center of the projection to any other place on the map. Most map projections involve some distortion of scale. Consequently, when converting distances measured on the ground to distances on the grid, a scale factor must be applied. • Direction A map projection is azimuthal when azimuths (angles from a point on a line to another point) are correctly plotted in all directions. 7 http://www.colorado.edu/geography/gcraft/notes/gps/gps_f.html 223