Forty strip projections continuously covering all great circles
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Date
1960-01
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Publisher
Ohio State University. Division of Geodetic Science
Abstract
A system of 40 oblique Mercator strip projections is developed with the distinctive property that every great circle on the earth lies entirely within at least one strip. All strips are 360° x 30° (approx.) and well suited to identical sets of grid lines directed lengthwise. The scale varies within ±2%; great circles project with a maximum curvature of 16 sec/naut mi. The uniform distribution of the distortions allows use of world-wide graphical and computational procedures for navigating either great circles or grid rhumb lines. Formulas are developed for the following operations: conformal reduction from the International Ellipsoid to a sphere, projection from the sphere to the oblique Mercator strips, evaluation of scale and convergence, delineation of great-circle routes, and adaptation of gyroscopic output to navigating grid rhumb lines. All 40 strips and 3 index maps are exhibited in miniature with a 10° graticule and a gray tint for land.
Description
Report to Wright Air Development Center, U.S. Air Research and Development Command, Wright-Patterson Air Force Base, Ohio, WCLGN under Contract No. AF 33(616)-5566, Project No. 8(610-6190), Task No. 50785 (OSURF Project No. 816)