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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.

Image

The direct series for x and y

Image

The inverse series for Image and Image

Image

Direct

Image

Inverse

Image

where

Image

Condition

1. Image

where the coefficients are given by

Image

If we use the numerical values for the Airy ellipsoid, then , in meteres,

Image

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

MUST Creative Engineering Laboratory

ImageImage Image Image

Image Image Image Image Image Image Image

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