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eckert5

Eckert V Projection

Classification

Pseudocylindrical

Identifier

eckert5

Graticule

Central Meridian: Straight line half as long as the Equator.

Other Meridians: Equally spaced sinusoidal curves concave toward the central meridian.

Parallels: Equally spaced straight parallel lines, perpendicular to the central meridian.

Poles: Lines half as long as the Equator.

Symmetry: About the central meridian or the Equator.

Features

This projection is an arithmetic average of the x and y coordinates of the Sinusoidal and Plate Carrée projections. Scale is true along latitudes 37º55'N and S, and is constant along any parallel and between any pair of parallels equidistant from the Equator. There is no point free of all distortion, but the Equator is free of angular distortion. This projection is not equal-area, conformal, or equidistant.

Parallels

This projection has one standard parallel, which is by definition fixed at 0º.

Remarks

  • This projection was presented by Max Eckert in 1906.

  • This implementation of the Eckert V projection is applicable only for coordinates that are referenced to a sphere. If you want to project coordinates that are referenced to an ellipsoid, using the projfwd or projinv functions, then create a projcrs object instead of a map projection structure. You can create a projcrs object for the Eckert V projection using the ESRI authority code 54011. For example: projcrs(54011,'Authority','ESRI').

Example

landareas = shaperead('landareas.shp','UseGeoCoords',true);
axesm ('eckert5', 'Frame', 'on', 'Grid', 'on');
geoshow(landareas,'FaceColor',[1 1 .5],'EdgeColor',[.6 .6 .6]);
tissot;

Introduced before R2006a