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

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

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...

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...

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...

Bessel who solved problems for geodesics on the ellipsoid by transforming them to an equivalent problem for spherical geodesics by using this smaller latitude...

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

Fundamentals Geodesy (book) Concepts and Techniques in Modern Geography Geodesics on an ellipsoid History of geodesy Physical geodesy Earth's circumference Physics...

Geodesics on an ellipsoid Great ellipse Kepler's laws of planetary motion n-ellipse, a generalization of the ellipse for n foci Oval Perimeter of an ellipse...

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...

solving for geodesics on an ellipsoid. The method of least squares had been introduced into geodesy by Gauss and Helmert wrote a fine book on least squares...

point p on a manifold is the closure of the set of all other points on the manifold that are connected to p by two or more distinct shortest geodesics. More...

French Geodesic Mission Struve Geodetic Arc Rectifying latitude Geodesics on an ellipsoid Russo, Lucio (2004). The Forgotten Revolution. Berlin: Springer...

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...

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

found by multiplying the ellipsoidal meridian arc length by the secant of the azimuth. Great circle Geodesics on an ellipsoid Great ellipse Isoazimuthal...

dome Geodesic dome Geodesics on an ellipsoid Great ellipse Onion dome Spherical cap Spheroid Krivoshapko, Sergey (November 2007). "Research on General...

models to calculate the qibla, replacing the great circle by the geodesics on an ellipsoid. This results in more complicated calculations, while the improvement...

scale based on Geodesic grid. The colored strip indicate the simulated ocean vorticity strength based on MPAS model. Geodesics on an ellipsoid Geographic...

An Earth ellipsoid or Earth spheroid is a mathematical figure approximating the Earth's form, used as a reference frame for computations in geodesy, astronomy...

Inverse Solutions of Geodesics on the Ellipsoid with application of nested equation" (PDF). Archived from the original (PDF) on 2013-01-28. Retrieved...

center of Earth to a point on or near its surface. Approximating the figure of Earth by an Earth spheroid (an oblate ellipsoid), the radius ranges from...

intersection of an earth ellipsoid and a plane (ellipsoid plane sections). Common examples include the great ellipse (containing the center of the ellipsoid) and...

such as a reference ellipsoid or a geoid; an origin at which the ellipsoid/geoid is tied to a known (often monumented) location on or inside Earth (not...

(geometry), a vector Cardinal directions 180-degree apart Inverse geodesics on an ellipsoid A 180-degree rotation A point reflection This disambiguation page...

motion (exact solutions of classical central-force problems) Geodesic motion on ellipsoids Harmonic oscillator Integrable Clebsch and Steklov systems in...

19111 standards, also includes a choice of geodetic datum (including an Earth ellipsoid), as different datums will yield different latitude and longitude...

Inverse Solutions of Geodesics on the Ellipsoid with application of nested equation" (PDF). Archived from the original (PDF) on 2013-01-28. Retrieved...

ellipsoid were developed by Maxim Nyrtsov. Jacobi conformal projections were described by Carl Gustav Jacob Jacobi. Geodesics on a triaxial ellipsoid...