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The haversine formula is a computational formula for calculating the great-circle distance between two points on a sphere, using the chord length relation. It is numerically better-conditioned for small distances than the spherical law of cosines formula, but less accurate for antipodal points.
Web Mercator is a variant of the Mercator map projection used for Web mapping applications. It uses spherical formulas with WGS 84 ellipsoidal coordinates, resulting in a slightly non-conformal projection that distorts angles and areas.
Learn about the history, features and uses of the Mercator projection, a conformal cylindrical map projection presented by Gerardus Mercator in 1569. The Mercator projection is widely used for navigation, web maps and atlases, but it distorts the size and shape of landmasses near the poles.
UTM is a map projection system that assigns coordinates to locations on the Earth's surface, ignoring altitude and treating the Earth as a perfect ellipsoid. It divides the Earth into 60 zones, each 6 degrees of longitude wide, and uses a transverse Mercator projection with a standard scale factor of 0.9996.
Learn how to calculate the great-circle distance between two points on a sphere using the haversine formula, a special case of the law of haversines. The formula uses the haversine function, which is half a versine of the central angle, and depends on the latitude and longitude of the points.
Learn how to calculate the distance between two points on the Earth's surface using different approximations and formulae. Compare flat, spherical and ellipsoidal models and their errors and limitations.
Learn how to navigate a vessel along a great circle, the shortest distance between two points on the globe, using spherical trigonometry. Find formulas, examples, and details for finding way-points and position angles.
Bearing or azimuth is the horizontal angle between the direction of an object and north or another object. Learn about absolute, relative, grid, compass and azimuth bearings, and how they are measured and used in navigation.
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