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WGS84RPT.tif:Corel PHOTO-PAINT - Henry A. Rowland Department ...

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f = flattening of the local geodetic datum ellipsoid<br />

∆a, ∆f = differences between the semi-major axis and flattening of the<br />

local geodetic datum ellipsoid and the WGS 84 Ellipsoid,<br />

respectively (WGS 84 minus Local)<br />

e = first eccentricity<br />

e 2 = 2f – f 2<br />

R N = radius of curvature in the prime vertical<br />

R N = a/(l- e 2 sin 2 φ) 1/2<br />

R M = radius of curvature in the meridian<br />

R M = a(l- e 2 )/(l- e 2 sin 2 φ) 3/2<br />

NOTE: All ∆-quantities are formed by subtracting local geodetic datum ellipsoid values from<br />

WGS 84 Ellipsoid values.<br />

Appendix A lists the reference ellipsoid names and parameters (semi-major axis<br />

and flattening) for local datums currently tied to WGS 84 and used for generating datum<br />

transformations.<br />

Appendix B contains horizontal transformation parameters for the geodetic<br />

datums/systems which have been generated from satellite ties to the local geodetic control.<br />

Due to the errors and distortion that affect most local geodetic datums, use of mean datum<br />

shifts (∆X, ∆Y, ∆Z) in the Standard Molodensky datum transformation formulas may produce<br />

results with poor quality of “fit”. Improved fit between the local datum and WGS 84 may<br />

result only with better and more dense ties with local or regional control points.<br />

Updates to the datum transformation parameters are iden<strong>tif</strong>ied through the use<br />

of cycle numbers and issue dates. Cycle numbers have been set to the numerical value of zero<br />

for all datum transformations appearing in the August 1993 Insert 1 and the WGS 84<br />

TR8350.2 Second Edition. All new datum transformations will carry a cycle number of zero.<br />

As updates are made the cycle number will increment by one.<br />

Datum transformation shifts derived from non-satellite information are listed in<br />

Appendix C.<br />

7-5

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