Three-Dimensional Resection—A Vector Approach

by William E. Ball, Jr., Engrg. Analyst; U.S. Dept. of the Interior, Bureau of Land Mgmt., Portland, OR,

Serial Information: Journal of the Surveying and Mapping Division, 1973, Vol. 99, Issue 1, Pg. 87-106

Document Type: Journal Paper


Systems of equations are derived and computational routines are outlined that can be used to determine the geodetic coordinates and elevation of a point by resection using horizontal and vertical angles only. Equations are similarly derived and a computational routine is outlined which can be used to compute the geodetic coordinates and elevation of a point using horizontal angles, vertical angles, and slope distance. In both cases angles are measured from the point of unknown position to three or more points having known geodetic coordinates and elevations. The equations are exact with respect to a reference ellipsoid but corrections may be required wherever the actual topographic surface differs significantly from the surface of the reference ellipsoid. Equations are derived using the three-dimensional methods of vector analysis.

Subject Headings: Geodetic surveys | Three-dimensional analysis | Slopes | High-rise buildings | Topography | Vector analysis

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