Page History: Transverse Mercator on the ellipsoid (TME)
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Page Revision: 2010/10/04 12:54
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

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