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...

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 ⁡...

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...

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

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

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

plane coordinates (LTP), also known as local ellipsoidal system, local geodetic coordinate system, or local vertical, local horizontal coordinates (LVLH)...

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

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

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

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

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...

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

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

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...

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

triaxial ellipsoid Map projection Reference ellipsoid Jacobi ellipsoid Latitude Ellipsoidal coordinates Planetary coordinate system Snyder, J. P. (1986)...

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

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

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...

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...

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...

geodetic normal or ellipsoid normal vector) is a three-parameter non-singular representation well-suited for replacing geodetic coordinates (latitude and longitude)...

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