spherical coordinate

Use will be made of these spherical coordinate system relations in the next section.

A number of different spherical coordinate systems following other conventions are used outside mathematics.

It is akin to an arrow in the spherical coordinate system.

Yet another alternative form is obtained by using spherical coordinates in which appears as.

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

This is often called spherical coordinates based on elevation, bearing, and range.

The relationship of those segments in three dimensional space using a spherical coordinate system.

The spherical coordinates of a point P are then defined as follows:

In addition to the above measures, to calculate prayer times for a specific location we need its spherical coordinates.

This integral may be evaluated using spherical coordinates in k-space.

An example is the apparent singularity at the 90 degree latitude in spherical coordinates.

Using the formulae (A - 11 and 14) for the gradient in spherical coordinates, we get.

They then choose the most appropriate mapping of the spherical coordinate system onto that ellipsoid.

A final change to spherical coordinates followed by a separation of variables will yield the equation for from above.

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

Spherical robots have an arm which forms a spherical coordinate system.

The spherical coordinate system is also commonly used in 3D game development to rotate the camera around the player's position.

The parameters may be interpreted as spherical coordinates.

Alternatively, the area element on the sphere is given in spherical coordinates by .

Legendre functions have widespread applications in which spherical coordinate system are appropriate.

The scale factor for the radius is one (), as in spherical coordinates.

The simulations can be done in either Cartesian or in spherical coordinates.

The colatitude angle in spherical coordinates is the angle used above.

Note that dΩ is expressed in a spherical coordinate system.

For example, in spherical coordinates , and so .