latex error! exitcode was 2 (signal 0), transscript follows:

The equations to convert a point on the sphere

latex error! exitcode was 2 (signal 0), transscript follows:

to a point on 2D plane

latex error! exitcode was 2 (signal 0), transscript follows:

are:

latex error! exitcode was 2 (signal 0), transscript follows:

where

latex error! exitcode was 2 (signal 0), transscript follows:

is the longitude and

latex error! exitcode was 2 (signal 0), transscript follows:

the latitude. R is the radius of the sphere, which is 1 in our program.

latex error! exitcode was 2 (signal 0), transscript follows:

and

latex error! exitcode was 2 (signal 0), transscript follows:

are two constants controlling the shape of the projection.