Name

ST_LengthSpheroid — Returns the 2D or 3D length/perimeter of a lon/lat geometry on a spheroid.

Synopsis

float ST_LengthSpheroid(geometry a_geometry, spheroid a_spheroid);

Description

Calculates the length or perimeter of a geometry on a spheroid. This is useful if the coordinates of the geometry are in longitude/latitude and a length is desired without reprojection. The spheroid is specified by a text value as follows:

SPHEROID[<NAME>,<SEMI-MAJOR AXIS>,<INVERSE FLATTENING>]

For example:

SPHEROID["GRS_1980",6378137,298.257222101]

Availability: 1.2.2

Changed: 2.2.0 In prior versions this was called ST_Length_Spheroid and had the alias ST_3DLength_Spheroid

This function supports 3d and will not drop the z-index.

Examples

Measure a table geometry directly on a spheroid when the coordinates are stored in longitude and latitude.

Code
SELECT ST_LengthSpheroid(
    geometry_column,
    'SPHEROID["GRS_1980",6378137,298.257222101]'
    )
FROM geometry_table;

This example measures a 2D MultiLineString and each component separately on the same spheroid.

Code
WITH sample AS (
  SELECT 'MULTILINESTRING((-118.584 38.374,-118.583 38.5),
          (-71.05957 42.3589,-71.061 43))'::geometry AS geom,
         CAST('SPHEROID["GRS_1980",6378137,298.257222101]' AS spheroid) AS sph_m
)
SELECT ST_LengthSpheroid(geom, sph_m) AS tot_len,
       ST_LengthSpheroid(ST_GeometryN(geom, 1), sph_m) AS len_line1,
       ST_LengthSpheroid(ST_GeometryN(geom, 2), sph_m) AS len_line2
FROM sample;
Output
     tot_len      |    len_line1     |    len_line2
------------------+------------------+------------------
 85204.52077117894 | 13986.87252824332 | 71217.64824293563
Figure
Geometry figure for visual-st-length-spheroid-01

This example uses 3D input; Z contributes to the measured result.

Code
WITH sample AS (
  SELECT 'MULTILINESTRING((-118.584 38.374 20,-118.583 38.5 30),
          (-71.05957 42.3589 75,-71.061 43 90))'::geometry AS geom,
         CAST('SPHEROID["GRS_1980",6378137,298.257222101]' AS spheroid) AS sph_m
)
SELECT ST_LengthSpheroid(geom, sph_m) AS tot_len,
       ST_LengthSpheroid(ST_GeometryN(geom, 1), sph_m) AS len_line1,
       ST_LengthSpheroid(ST_GeometryN(geom, 2), sph_m) AS len_line2
FROM sample;
Output
     tot_len      |    len_line1    |    len_line2
------------------+-----------------+------------------
 85204.52592562366 | 13986.876103023424 | 71217.64982260024
Figure
Geometry figure for visual-st-length-spheroid-02