Using spherical coordinates, the process of choosing the angle is equivalent to randomly picking two angles \ theta and \ psi.
42.
Mathematically, this corresponds to the fact that spherical coordinates do not define a coordinate chart on the sphere at zenith and nadir.
43.
Due to the spherical symmetry of the system, it is natural to use spherical coordinates r, \ theta and \ phi.
44.
Distance units are decimal degrees for spherical coordinates and feet, meters, miles, kilometers, or nautical miles for projected coordinates.
45.
That is, as a proportion of the relevant unit hypersphere taken up by the generalized angle, or set expressed in spherical coordinates.
46.
Looking at Spherical coordinate system, it seems that your \ phi is your longitude, and your \ theta is 90-latitude.
47.
You could even use cylindrical or spherical coordinates as your three spatial dimensions ( " azimuth, elevation, range " for example ).
48.
In this case, their position will be determined by their angles in spherical coordinates, and the energy for one of them will be:
49.
The geographic coordinate system uses the azimuth and elevation of the spherical coordinate system to express locations on Earth, calling them respectively longitude and latitude.
50.
Now, if we further assume that the source is positioned at r = 0, the general solution to the wave equation in spherical coordinates is
