By applying a Chebyshev series in longitude and a rational Chebyshev series in the "Mercator" coordinate, y = arctan h(cos(colatitude)), we obtain an exponential rate of convergence despite the corner singularities.
We display in Figure 1 maps of the declination D, inclination I, and total intensity F in 2015.0 on the Earth's reference sphere (r=a) in a Mercator projection that is well suited to navigation.
For instance, in the Mercator projection (below), north America looks at least as big, if not slightly larger, than Africa.
But Pivovarna Lasko then went on a scattershot buying spree, acquiring strategically questionable stakes in both Mercator, the country's largest retailer, and Delo, a newspaper.
A point at the location ((X, Y)) in the Mercator coordinate is converted into the GWS84 coordinate system by following equations [17], with (phi ) and (lambda ) are latitude and longitude in the GWS84 coordinate.
begin{aligned} X&= frac{2pi }{360}timesigmama times lambda end{aligned} (6) begin{aligned} Y&= sigma log left[ {tan left[ (phi +90)frac{pi }{360}right] } right] end{aligned} (7 where ((X), (Y)) is a point location in the Mercator coordinate, (sigma ) is the radius of the Earth.
Thus, in the Mercator projection, when a globe is "unwrapped" on to a rectangular map, the parallels need to be stretched to the length of the Equator.
