Page History: Transverse Mercator on the ellipsoid (TME)
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Page Revision: 2010/10/04 12:43
Radfearn's transformation formulae
TME is derived as a series by a complex transformation from the NME projection.
The direct series for x and y
The inverse series for
and
Direct
Inverse
where
Condition
1.
where the coefficients are given by
If we use the numerical values for the Airy ellipsoid, then , in meteres,
2. Function and are defined in
3. is measured on radians from central meridian
4. The subscripted terms in the inverse series are to be evaluated at the footpoint latitude such that