How to convert Transverse Mercator to geographic coordinates?

How to convert Transverse Mercator to geographic coordinates?

Transverse Mercator to geographic. Several additional parameters need to be computed before transformations can be undertaken (,, ). These parameters are constant for a projection. The conversion of geographic coordinates ( , ) to projection coordinates ( N, E ) is achieved in several steps. First determine ,,at the computation point (, ):

What was the latitude of the Mercator 1569 map?

Mercator 1569 world map ( Nova et Aucta Orbis Terrae Descriptio ad Usum Navigantium Emendate Accommodata) showing latitudes 66°S to 80°N. The Mercator projection ( / mərˈkeɪtər /) is a cylindrical map projection presented by Flemish geographer and cartographer Gerardus Mercator in 1569.

Why is the Mercator projection the standard map projection?

It became the standard map projection for navigation because it is unique in representing north as up and south as down everywhere while preserving local directions and shapes. The map is thereby conformal. As a side effect, the Mercator projection inflates the size of objects away from the equator.

Is the scale constant on a conformal Mercator projection?

On a conformal projection, the scale is constant in all directions about each point but scale varies from point to point on the map. For practical nautical navigation only the conformal Mercator projection is of interest. This projection is still used today for nautical charts.

Can a transverse Mercator be used in epicentre?

However, some territories use a Transverse Mercator with a natural origin at a latitude closer to that territory. In Epicentre the coordinate transformation method is the same for all forms of the Transverse Mercator projection.

What is the scale factor of the Transverse Mercator?

The point scale factor () is the scale factor at a point that changes with increasing distance from the central meridian. Both and can be evaluated for the coordinates in the Transverse Mercator and Lambert Conformal projections using the respective formulas defined in LINZS25002.

Is the coordinate transformation method the same in epicentre?

In Epicentre the coordinate transformation method is the same for all forms of the Transverse Mercator projection. The formulas to derive the projected Easting and Northing coordinates are in the form of a series as follows:

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