Robinson Projection - Formulation

Formulation

The projection is defined by the table:

Latitude PLEN PDFE
00 1.0000 0.0000
05 0.9986 0.0620
10 0.9954 0.1240
15 0.9900 0.1860
20 0.9822 0.2480
25 0.9730 0.3100
30 0.9600 0.3720
35 0.9427 0.4340
40 0.9216 0.4958
45 0.8962 0.5571
50 0.8679 0.6176
55 0.8350 0.6769
60 0.7986 0.7346
65 0.7597 0.7903
70 0.7186 0.8435
75 0.6732 0.8936
80 0.6213 0.9394
85 0.5722 0.9761
90 0.5322 1.0000

The table is indexed by latitude, using interpolation. The PLEN column is the length of the parallel of latitude, and the PDFE column is multiplied by 0.5072 to obtain the distance of that parallel from the equator. Meridians of longitude are equally spaced on each parallel of latitude.

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