F.13. earthdistance
  The
  
   earthdistance
  
  module provides two different approaches to
  calculating great circle distances on the surface of the Earth. The one
  described first depends on the
  
   cube
  
  module (which
  
   
    must
   
  
  be installed before
  
   earthdistance
  
  can be
  installed). The second one is based on the built-in
  
   point
  
  data type,
  using longitude and latitude for the coordinates.
 
In this module, the Earth is assumed to be perfectly spherical. (If that's too inaccurate for you, you might want to look at the PostGIS project.)
F.13.1. Cube-based Earth Distances
   Data is stored in cubes that are points (both corners are the same) using 3
   coordinates representing the x, y, and z distance from the center of the
   Earth.  A domain
   
    earth
   
   over
   
    cube
   
   is provided, which
   includes constraint checks that the value meets these restrictions and
   is reasonably close to the actual surface of the Earth.
  
   The radius of the Earth is obtained from the
   
    earth()
   
   function. It is given in meters. But by changing this one function you can
   change the module to use some other units, or to use a different value of
   the radius that you feel is more appropriate.
  
   This package has applications to astronomical databases as well.
   Astronomers will probably want to change
   
    earth()
   
   to return a
   radius of
   
    180/pi()
   
   so that distances are in degrees.
  
Functions are provided to support input in latitude and longitude (in degrees), to support output of latitude and longitude, to calculate the great circle distance between two points and to easily specify a bounding box usable for index searches.
The provided functions are shown in Table F.5 .
Table F.5. Cube-based Earthdistance Functions
F.13.2. Point-based Earth Distances
   The second part of the module relies on representing Earth locations as
   values of type
   
    point
   
   , in which the first component is taken to
   represent longitude in degrees, and the second component is taken to
   represent latitude in degrees.  Points are taken as (longitude, latitude)
   and not vice versa because longitude is closer to the intuitive idea of
   x-axis and latitude to y-axis.
  
A single operator is provided, shown in Table F.6 .
Table F.6. Point-based Earthdistance Operators
| Operator | Returns | Description | 
|---|---|---|
        
         point
        
        
         <@>
        
        
         point
        
        | 
       
        
         float8
        
        | 
       Gives the distance in statute miles between two points on the Earth's surface. | 
   Note that unlike the
   
    cube
   
   -based part of the module, units
   are hardwired here: changing the
   
    earth()
   
   function will
   not affect the results of this operator.
  
   One disadvantage of the longitude/latitude representation is that
   you need to be careful about the edge conditions near the poles
   and near +/- 180 degrees of longitude.  The
   
    cube
   
   -based
   representation avoids these discontinuities.