TECHNICAL PAPERS
Aug 1, 1988

Coordinate Conversion from Nad to Nad

Publication: Journal of Surveying Engineering
Volume 114, Issue 3

Abstract

A method for converting North American Datum (NAD) 27 coordinates to NAD 83 coordinates is presented. The method is tested on over 1,000 control points, known in both NAD 27 and NAD 83, obtained from the National Geodetic Survey. Input data are maintained as geodetic latitude and longitude to allow for nationwide application. In order to use the transformation equations of plane geometry, latitudes and longitudes are projected to transverse Mercator X, Y with a unique projection for each point considered to be unknown in NAD 83. The methodology uses three or four (depending on the type of transformation) nearby points, known both in NAD 27 and NAD 83, to determine transformation coefficients which are then applied to a point considered to be known only in NAD 27. Results from the use of first‐degree conformal, second‐degree conformal, and affine coordinate transformation equations are presented. The final results indicate that greatest accuracy is obtained with the use of first‐ and second‐order control points only. The use of the method in practical applications is discussed.

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References

1.
Moffitt, F. H., and Jordan, S. L. (1987). “Conversion of state plane coordinates from NAD 27 to NAD 83 by second‐degree conformal transformation.” ACSM Bulletin, 106, Feb., 13–20.
2.
Scott, D. K. (1987). “On 'Conversion of state plane coordinates from NAD 27 to NAD 83 by second‐degree conformal transformation'.” ACSM Bulletin, 109, Aug. 28.
3.
Thomas, P. D. (1964). Conformal projections in geodesy and cartography. U.S. Dept. of Commerce, Special Publication 251, U.S. Govt. Printing Ofc. Washington, D.C.
4.
Vincenty, T. (1987). “A note on approximate transformation of coordinates.” ACSM Bulletin 109, Aug., 27.
5.
Vogel, S. A. (1986). “The new horizontal control datum for North America: NAD 83.” Monograph, available from Nat. Geodetic Survey, Charting and Geodetic Services, Nat. Ocean Survey, Nat. Oceanic and Atmospheric Admin., Rockville, Maryland 20852.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 114Issue 3August 1988
Pages: 125 - 130

History

Published online: Aug 1, 1988
Published in print: Aug 1988

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D. R. Graff, Member, ASCE
Consultant, Surveying and Mapping, P.O. Box 311, Beaver Dam, WI 53916

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