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Coordinate system information


The spherical coordinate system is commonly used in physics. It assigns three numbers (known as coordinates) to every point in Euclidean space: radial distance r, polar angle θ (theta), and azimuthal angle φ (phi). The symbol ρ (rho) is often used instead of r.

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.[1][2] The order of the coordinates is significant, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in "the x-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa; this is the basis of analytic geometry.[3]

  1. ^ Woods p. 1
  2. ^ Weisstein, Eric W. "Coordinate System". MathWorld.
  3. ^ Weisstein, Eric W. "Coordinates". MathWorld.

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Coordinate system

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In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other...

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Cartesian coordinate system

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In geometry, a Cartesian coordinate system (UK: /kɑːrˈtiːzjən/, US: /kɑːrˈtiːʒən/) in a plane is a coordinate system that specifies each point uniquely...

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Spherical coordinate system

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In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a given point in space is specified...

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Geographic coordinate system

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A geographic coordinate system (GCS) is a spherical or geodetic coordinate system for measuring and communicating positions directly on the Earth as latitude...

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Polar coordinate system

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In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference...

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Galactic coordinate system

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The galactic coordinate system is a celestial coordinate system in spherical coordinates, with the Sun as its center, the primary direction aligned with...

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Cylindrical coordinate system

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A cylindrical coordinate system is a three-dimensional coordinate system that specifies point positions by the distance from a chosen reference axis (axis...

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Equatorial coordinate system

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The equatorial coordinate system is a celestial coordinate system widely used to specify the positions of celestial objects. It may be implemented in spherical...

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Ecliptic coordinate system

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In astronomy, the ecliptic coordinate system is a celestial coordinate system commonly used for representing the apparent positions, orbits, and pole orientations...

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Projected coordinate system

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A projected coordinate system – also called a projected coordinate reference system, planar coordinate system, or grid reference system – is a type of...

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Horizontal coordinate system

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The horizontal coordinate system is a celestial coordinate system that uses the observer's local horizon as the fundamental plane to define two angles:...

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Spatial reference system

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A spatial reference system (SRS) or coordinate reference system (CRS) is a framework used to precisely measure locations on the surface of Earth as coordinates...

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Elliptic coordinate system

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In geometry, the elliptic coordinate system is a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and...

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Astronomical coordinate systems

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In astronomy, coordinate systems are used for specifying positions of celestial objects (satellites, planets, stars, galaxies, etc.) relative to a given...

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Swiss coordinate system

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The Swiss coordinate system (or Swiss grid) is a geographic coordinate system used in Switzerland and Liechtenstein for maps and surveying by the Swiss...

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Barycentric coordinate system

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In geometry, a barycentric coordinate system is a coordinate system in which the location of a point is specified by reference to a simplex (a triangle...

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Supergalactic coordinate system

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various galaxies defined in 1976 the equator of the supergalactic coordinate system de Vaucouleurs developed. In years thereafter with more observation...

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Universal Transverse Mercator coordinate system

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was used. The World Geodetic System WGS84 ellipsoid is now generally used to model the Earth in the UTM coordinate system, which means current UTM northing...

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Selenographic coordinate system

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The selenographic coordinate system is used to refer to locations on the surface of Earth's moon. Any position on the lunar surface can be referenced...

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Planetary coordinate system

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A planetary coordinate system (also referred to as planetographic, planetodetic, or planetocentric) is a generalization of the geographic, geodetic, and...

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State Plane Coordinate System

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The State Plane Coordinate System (SPCS) is a set of 125 geographic zones or coordinate systems designed for specific regions of the United States. Each...

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Perifocal coordinate system

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The perifocal coordinate (PQW) system is a frame of reference for an orbit. The frame is centered at the focus of the orbit, i.e. the celestial body about...

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Sigma coordinate system

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The sigma coordinate system is a common coordinate system used in computational models for oceanography, meteorology and other fields where fluid dynamics...

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Curvilinear coordinates

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In geometry, curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be...

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Hexagonal Efficient Coordinate System

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The Hexagonal Efficient Coordinate System (HECS), formerly known as Array Set Addressing (ASA), is a coordinate system for hexagonal grids that allows...

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Machine coordinate system

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phrase machine coordinate system refers to the physical limits of the motion of the machine in each of its axes, and to the numerical coordinate which is assigned...

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Solar coordinate systems

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In solar observation and imaging, coordinate systems are used to identify and communicate locations on and around the Sun. Since the Sun is gaseous in...

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Frame of reference

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astronomy, a frame of reference (or reference frame) is an abstract coordinate system whose origin, orientation, and scale are specified by a set of reference...

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