Geodesics on an ellipsoid of revolution
Charles F. F. Karney (SRI International)

TL;DR
This paper presents highly accurate algorithms for solving forward and inverse geodesic problems on an ellipsoid of revolution, with applications in triangulation, projections, maritime boundaries, and area calculations.
Contribution
It introduces precise algorithms for geodesic computations on ellipsoids, improving accuracy and addressing various geodesic-related problems.
Findings
Algorithms achieve better than 15 nm accuracy on terrestrial ellipsoids
Solutions are applicable to triangulation, projections, maritime boundaries, and polygons
Enhanced methods improve geodesic problem-solving precision
Abstract
Algorithms for the computation of the forward and inverse geodesic problems for an ellipsoid of revolution are derived. These are accurate to better than 15 nm when applied to the terrestrial ellipsoids. The solutions of other problems involving geodesics (triangulation, projections, maritime boundaries, and polygonal areas) are investigated.
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Taxonomy
TopicsHistorical Geography and Cartography · Data Management and Algorithms · 3D Modeling in Geospatial Applications
