ST_DistanceCPA
Name
ST_DistanceCPA — Returns the distance between closest points of approach in two trajectories.
Synopsis
    
     float8
     
      ST_DistanceCPA
     
     (
    
    geometry
    
     track1
    
    , geometry
    
     track2
    
    
     )
    
    ;
   
Description
Returns the minimum distance two moving objects have ever been each-other. Inputs must be valid trajectories as checked by ST_IsValidTrajectory . Null is returned if the trajectories do not overlap on the M range.
Availability: 2.2.0
   
    
   
   This function supports 3d and will not drop the z-index.
  
Examples
-- Return the minimum distance of two objects moving between 10:00 and 11:00
WITH inp AS ( SELECT
  ST_AddMeasure('LINESTRING Z (0 0 0, 10 0 5)'::geometry,
    extract(epoch from '2015-05-26 10:00'::timestamptz),
    extract(epoch from '2015-05-26 11:00'::timestamptz)
  ) a,
  ST_AddMeasure('LINESTRING Z (0 2 10, 12 1 2)'::geometry,
    extract(epoch from '2015-05-26 10:00'::timestamptz),
    extract(epoch from '2015-05-26 11:00'::timestamptz)
  ) b
)
SELECT ST_DistanceCPA(a,b) distance FROM inp;
     distance
------------------
 1.96036833151395