“Sphere to Cylinder”: Oblique Aspect - Map Projections: Cartographic Information Systems - page 323

Fig. 12.1. Mapping the sphere to a (tangent) cylinder. Oblique aspect

x
y

= RA cos B 0 ,

(12.1)

f ( B )

cos Φ sin( Λ − Λ 0 )

tan A =

sin Φ cos Φ 0 ,

(12.2)

cos Φ sin Φ 0 cos( Λ − Λ 0 ) −

sin B =cos Φ cos Φ 0 cos( Λ − Λ 0 )+sin Φ sin Φ 0 ,

cos B , Λ 2 = f ( B )

Λ 1 = cos B 0

. (12.3)

R