spherical coordinates

Noun

Meaning

spherical coordinates pl (normally plural, singular spherical coordinate)

A coordinate system, for three-dimensional space, using latitude, longitude and radius (i.e. distance from the center) as the coordinates.

Examples

Although polar and spherical coordinates use radians to describe coordinates in two and three dimensions, the unit is derived from the radius coordinate, so the angle measure is still dimensionless. Source: Internet

Consider the class of all regular paths from a point p to another point q. Introduce spherical coordinates so that p coincides with the north pole. Source: Internet

If it is necessary to define a unique set of spherical coordinates for each point, one may restrict their ranges. Source: Internet

Let ρ, θ, and φ be spherical coordinates for the source point P. Here θ denotes the angle with the vertical axis, which is contrary to the usual American mathematical notation, but agrees with standard European and physical practice. Source: Internet

Note that the speed is : and the volume element in spherical coordinates : where and are the "course" (azimuth of the velocity vector) and "path angle" (elevation angle of the velocity vector). Source: Internet

On the other hand, every point has infinitely many equivalent spherical coordinates. Source: Internet

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