ellipsoidal coordinates

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• Ellipsoidal coordinates — are a three dimensional orthogonal coordinate system (λ,μ,ν) that generalizes the two dimensional elliptic coordinate system. Unlike most three dimensional orthogonal coordinate systems that feature quadratic coordinate surfaces, the ellipsoidal… …   Wikipedia

• ellipsoidal coordinates — elipsoidinės koordinatės statusas T sritis fizika atitikmenys: angl. ellipsoidal coordinates vok. ellipsoidale Koordinaten, f; elliptische Raumkoordinaten, f rus. эллипсоидальные координаты, f pranc. coordonnées ellipsoïdales, f …   Fizikos terminų žodynas

• Oblate spheroidal coordinates — Figure 1: Coordinate isosurfaces for a point P (shown as a black sphere) in oblate spheroidal coordinates (μ, ν, φ). The z axis is vertical, and the foci are at ±2. The red oblate spheroid (flattened sphere) corresponds to μ=1, whereas the blue… …   Wikipedia

• Paraboloidal coordinates — are a three dimensional orthogonal coordinate system (λ,μ,ν) that generalizes the two dimensional parabolic coordinate system. Similar to the related ellipsoidal coordinates, the paraboloidal coordinate system has orthogonal quadratic coordinate… …   Wikipedia

• Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …   Wikipedia

• Curvilinear coordinates — Curvilinear, affine, and Cartesian coordinates in two dimensional space Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian… …   Wikipedia

• Conical coordinates — Coordinate surfaces of the conical coordinates. The constants b and c were chosen as 1 and 2, respectively. The red sphere represents r=2, the blue elliptic cone aligned with the vertical z axis represents μ=cosh(1) and the yellow elliptic cone… …   Wikipedia

• Prolate spheroidal coordinates — are a three dimensional orthogonal coordinate system that results from rotating the two dimensional elliptic coordinate system about the focal axis of the ellipse, i.e., the axis on which the foci are located. Rotation about the other axis… …   Wikipedia

• Toroidal coordinates — are a three dimensional orthogonal coordinate system that results from rotating the two dimensional bipolar coordinate system about the axis that separates its two foci. Thus, the two foci F {1} and F {2} in bipolar coordinates become a ring of… …   Wikipedia

• Geographic coordinate system — Map of Earth showing lines of latitude (horizontally) and longitude (vertically), Eckert VI projection; large version (pdf, 3.12MB) …   Wikipedia

• Gabriel Lamé — (July 22, 1795 May 1, 1870) was a French mathematician. BiographyLamé was born in Tours, in today s département of Indre et Loire.He became well known for his general theory of curvilinear coordinates and his notation and study of classes of… …   Wikipedia