The study of geodesics on an ellipsoid arose in connection with geodesy specifically with the solution of triangulation networks. The figure of the Earth...

axes of an ellipsoid are distinct, but sufficiently close to each other, then the ellipsoid has only three simple closed geodesics. A geodesic, on a Riemannian...

an ellipse or an ellipsoid of revolution (spheroid), respectively. Focaloid, a shell bounded by two concentric, confocal ellipsoids Geodesics on an ellipsoid...

within 0.5 mm (0.020 in) on the Earth ellipsoid. Vincenty's goal was to express existing algorithms for geodesics on an ellipsoid in a form that minimized...

distance s12 which are within 1% of the geodesic length for the WGS84 ellipsoid; see Geodesics on an ellipsoid for details. Detailed evaluation of the...

Geodesics on an ellipsoid behave in a more complicated way than on a sphere; in particular, they are not closed in general (see figure). A geodesic triangle...

methods are available. Local geodetic coordinates Geodetic datum Geodesics on an ellipsoid Planetary coordinate system National Geodetic Survey (U.S.).;...

shortest distance along the surface of an ellipsoid between two points on the surface is along the geodesic. Geodesics follow more complicated paths than great...

geometry § Elliptic space (the 3D case) Flight planning Geodesy Geodesics on an ellipsoid Geodetic system Geographical distance Isoazimuthal Loxodromic...

parametric angle on the ellipse. (A similar mapping to an auxiliary sphere is carried out in the solution of geodesics on an ellipsoid. The differences...