Transverse Mercator with an accuracy of a few nanometers |
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Authors: | Charles F F Karney |
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Institution: | 1.SRI International,Princeton,USA |
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Abstract: | Implementations of two algorithms for the transverse Mercator projection are described; these achieve accuracies close to
machine precision. One is based on the exact equations of Thompson and Lee and the other uses an extension of Krüger’s series
for the mapping to higher order. The exact method provides an accuracy of 9 nm over the entire ellipsoid, while the errors
in the series method are less than 5 nm within 3900 km of the central meridian. In each case, the meridian convergence and
scale are also computed with similar accuracy. The speed of the series method is competitive with other less accurate algorithms
and the exact method is about five times slower. |
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