Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system ( λ , μ , ν ) {\displaystyle (\lambda ,\mu ,\nu )} that generalizes the two-dimensional...

ellipsoidal height h (also known as geodetic height). The triad is also known as Earth ellipsoidal coordinates (not to be confused with ellipsoidal-harmonic...

§§26–27) employed the (triaxial) ellipsoidal coordinates (with triaxial ellipsoidal latitude and triaxial ellipsoidal longitude, β, ω) defined by X = a cos ⁡...

ellipsoidal height h (also known as geodetic height). The triad is also known as Earth ellipsoidal coordinates (not to be confused with ellipsoidal-harmonic...

of the density, and the iso-density surface is an ellipsoid. Ellipsoidal dome Ellipsoidal coordinates Elliptical distribution, in statistics Flattening...

These coordinates are the natural choice in models of the gravity field for a rotating ellipsoidal body. The above applies to a biaxial ellipsoid (a spheroid...

as local ellipsoidal system, local geodetic coordinate system, local vertical, local horizontal coordinates (LVLH), or topocentric coordinates. It consists...

California. Given the dimensions of the ellipsoid, the conversion from lat/lon/height-above-ellipsoid coordinates to X-Y-Z is straightforward—calculate...

prolate spheroidal coordinates.) Oblate spheroidal coordinates can also be considered as a limiting case of ellipsoidal coordinates in which the two largest...

gravimetrically by the GRAIL twin satellites. Reference ellipsoids are also useful for defining geodetic coordinates and mapping other planetary bodies including...

neither strictly ellipsoidal nor strictly spherical. EPSG's definition says the projection "uses spherical development of ellipsoidal coordinates". The underlying...

oblate spheroidal coordinates. Prolate spheroidal coordinates can also be considered as a limiting case of ellipsoidal coordinates in which the two smallest...

the momenta). Curvilinear coordinates Ellipsoidal coordinates Generalized coordinates Bipolar coordinates "Elliptic coordinates", Encyclopedia of Mathematics...

geocentric coordinates, which measure with respect to Earth's center; geodetic coordinates, which model Earth as an ellipsoid; and geographic coordinates, which...

geodetic data could be referred and compatibility established between the coordinates of widely separated sites of interest. Efforts of the U.S. Army, Navy...

rotating a two-dimensional system, such as the ellipsoidal coordinates. More general orthogonal coordinates may be obtained by starting with some necessary...

possible to deal with ellipsoids in Cartesian coordinates by using a modified version of the spherical coordinates. Let P be an ellipsoid specified by the...

"hollow" ellipsoidal dome. The Jameh Mosque of Yazd has an ellipsoidal dome. Beehive tomb Clochán Cloister vault Dome Ellipsoid Ellipsoidal coordinates Elliptical...

curvilinear coordinates. Curvilinear coordinates proved a very powerful tool in Lamé's hands. He used them to transform Laplace's equation into ellipsoidal coordinates...

from cylindrical and rotational parabolic coordinates, but similarly to the related ellipsoidal coordinates, the coordinate surfaces of the paraboloidal...

S. J. (2008). "Closed-Form Transformation between Geodetic and Ellipsoidal Coordinates". Stud. Geophys. Geod. 52 (1): 1–18. Bibcode:2008StGG...52....1F...

longitude ( λ {\displaystyle \lambda } ), and ellipsoidal height ( h {\displaystyle h} ). The ellipsoid is completely parameterised by the semi-major...

Milon, T. (1990). "A note on the potential of a homogenous ellipsoid in ellipsoidal coordinates". J. Phys. A: Math. Gen. 23 (4): 581–584. doi:10.1088/0305-4470/23/4/027...

Universal Transverse Mercator (UTM) is a map projection system for assigning coordinates to locations on the surface of the Earth. Like the traditional method...

S. (1969). Ellipsoidal figures of equilibrium. Vol. 10. New Haven: Yale University Press. p. 253. Chandrasekhar, S. (1967). "Ellipsoidal figures of equilibrium—an...

equation. A more general form of Lamé's equation is the ellipsoidal equation or ellipsoidal wave equation which can be written (observe we now write...

projection is used to convert geodetic coordinates to plane coordinates on a map; it projects the datum ellipsoidal coordinates and height onto a flat surface...

showed that the ellipsoidal projection is finite (below). This is the most striking difference between the spherical and ellipsoidal versions of the transverse...

a^{2}c\rho .} Ellipsoidal dome Equatorial bulge Great ellipse Lentoid Oblate spheroidal coordinates Ovoid Prolate spheroidal coordinates Rotation of axes...

framework used to precisely measure locations on the surface of Earth as coordinates. It is thus the application of the abstract mathematics of coordinate...