spherical coordinates

  • 31Spin-weighted spherical harmonics — are generalizations of the standard spherical harmonics and like the usual spherical harmonics are complex functions on the sphere. These harmonics are typically denoted by {} sY {lm}, where s is the spin weight , and l and m are akin to the… …

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  • 32Generalized coordinates — By deriving equations of motion in terms of a general set of generalized coordinates, the results found will be valid for any coordinate system that is ultimately specified. cite book |last=Torby |first=Bruce |title=Advanced Dynamics for… …

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  • 33Prolate 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… …

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  • 34Action-angle coordinates — In classical mechanics, action angle coordinates are a set of canonical coordinates useful in solving many integrable systems. The method of action angles is useful for obtaining the frequencies of oscillatory or rotational motion without solving …

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  • 35polar coordinates — Math. a system of coordinates for locating a point in a plane by the length of its radius vector and the angle this vector makes with the polar axis (polar angle). [1810 20] * * *       system of locating points in a plane with reference to a… …

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  • 36Mega Ampere Spherical Tokamak — Coordinates: 51°39′33″N 1°13′50″W / 51.65917°N 1.23056°W / 51.65917; 1.23056 …

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  • 37Schwarzschild coordinates — In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres . In such a spacetime, a particularly important kind of coordinate chart is the Schwarzschild chart, a kind of polar spherical… …

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  • 38Toroidal 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… …

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  • 39Quadrilateralized Spherical Cube — The quadrilaterlized spherical cube, or quad sphere for short, is an equal area mapping and binning scheme for data collected on a spherical surface (either Earth data or the celestial sphere). It was first proposed by Chan and O Neill in 1975… …

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  • 40Isotropic coordinates — In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres . There are several different types of coordinate chart which are adapted to this family of nested spheres; the best known is the… …

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