In geodesy, a map projection of the triaxial ellipsoid maps Earth or some other astronomical body modeled as a triaxial ellipsoid to the plane. Such a...

map projection of the triaxial ellipsoid for further information. One way to classify map projections is based on the type of surface onto which the globe...

Figure of the Earth Geographical distance Great-circle navigation Great ellipse Geodesic Geodesy Map projection Map projection of the triaxial ellipsoid Meridian...

by the ellipsoid are called the principal axes, or simply axes of the ellipsoid. If the three axes have different lengths, the figure is a triaxial ellipsoid...

ellipsoid of revolution a triaxial (or scalene) ellipsoid is used. The shape of an ellipsoid of revolution is determined by the shape parameters of that...

d\theta \,d\phi .} Ellipsoidal latitude Focaloid (shell given by two coordinate surfaces) Map projection of the triaxial ellipsoid "Ellipsoid Quadrupole Moment"...

the ellipsoid of revolution as a reference ellipsoid and treat triaxiality and pear shape as a part of the geoid figure: they are represented by the spherical...

ellipse, ellipsoid) appear in the study of geodesy, geophysics and map projections but they can all be expressed in terms of one or two members of the set...

by triaxial ellipsoids; however, triaxial ellipsoids would render many computations more complicated, especially those related to map projections. Many...

surface area, either based on a map projection or a geodesic polygon. Earth's volume, or that of the reference ellipsoid, is V = 4 3 π a 2 b . {\displaystyle...

given reference ellipsoid, which is a slightly flattened sphere whose equatorial bulge is caused by the planet's rotation. Generally the geoidal height...

large amount of rotational symmetry around their spin axis (see triaxial ellipsoidal longitude for a generalization). The conversion for the latitude and...

are usually dropped. An ellipsoid that is not an ellipsoid of revolution is called a triaxial ellipsoid. Spheroid and ellipsoid are used interchangeably...

topographic maps are still based on Clarke's 1866 ellipsoid. Moreover, many US legal documents include boundary definitions in terms of latitude and...

Earth, though many of the underlying principles can be applied to any ellipsoidal geometry. In the original sense, a geodesic was the shortest route between...

the "Theoria attractionis..." (1813), Gauss provided a closed-form expression to the gravitational attraction of a homogeneous triaxial ellipsoid at...