Spherical coordinates are a system of coordinates for , or more generally . One coordinate is the distance from the origin, which can be thought of as the radius of the sphere centred at the origin on which the point lies. The other coordinates are angles that specify the position of the point on this sphere.
In the coordinates are given by
where is the distance from the origin, is the azimuthal angle defined for , and is the polar angle. Note that corresponds to the top of the sphere and corresponds to the bottom of the sphere. There is a clash between the mathematicians’ and the physicists’ definition of spherical coordinates, interchanging both the direction of and the choice of names for the two angles (physicists often use as the azimuthal angle and as the polar one).
These are sometimes called hyperspherical coordinates if .
|Date of creation||2013-05-08 10:16:57|
|Last modified on||2013-05-08 10:16:57|
|Last modified by||unlord (1)|