Transverse Mercator with an accuracy of a few nanometers (2010)
4 days ago
- #Computational Physics
- #Projection Algorithms
- #Geodesy
- Two algorithms for the transverse Mercator projection are described, achieving accuracies close to machine precision.
- One algorithm is based on the exact equations of Thompson and Lee, providing an accuracy of 9 nm over the entire ellipsoid.
- The other algorithm uses an extension of Krueger's series, achieving errors less than 5 nm within 3900 km of the central meridian.
- Both methods compute meridian convergence and scale with similar accuracy.
- The series method is competitive in speed with less accurate algorithms, while the exact method is about 5 times slower.