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