(null/copy) Approximation for medium and low accuracy applications assuming equality between plate-fixed static and earth-fixed dynamic CRSs, ignoring static/dynamic CRS differences.
Parameter values from PSAD56 to SIRGAS 1995 (1) (code 3971). Assumes SIRGAS 1995 and WGS 84 can be considered the same to within the accuracy of the transformation.
Coordinate Frame rotation (geog2D domain)
(-60.31, 245.935, 31.008, -12.324, -3.755, 7.37, 0.447)
Definition: OGC Well Known Text 2 (2019)
COORDINATEOPERATION["PSAD56 to WGS 84 (14)", VERSION["IGM-Ecu"], SOURCECRS[ GEOGCRS["PSAD56", DATUM["Provisional South American Datum 1956", ELLIPSOID["International 1924",6378388,297, LENGTHUNIT["metre",1]]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], CS[ellipsoidal,2], AXIS["geodetic latitude (Lat)",north, ORDER[1], ANGLEUNIT["degree",0.0174532925199433]], AXIS["geodetic longitude (Lon)",east, ORDER[2], ANGLEUNIT["degree",0.0174532925199433]], ID["EPSG",4248]]], TARGETCRS[ GEOGCRS["WGS 84", ENSEMBLE["World Geodetic System 1984 ensemble", MEMBER["World Geodetic System 1984 (Transit)"], MEMBER["World Geodetic System 1984 (G730)"], MEMBER["World Geodetic System 1984 (G873)"], MEMBER["World Geodetic System 1984 (G1150)"], MEMBER["World Geodetic System 1984 (G1674)"], MEMBER["World Geodetic System 1984 (G1762)"], MEMBER["World Geodetic System 1984 (G2139)"], ELLIPSOID["WGS 84",6378137,298.257223563, LENGTHUNIT["metre",1]], ENSEMBLEACCURACY[2.0]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], CS[ellipsoidal,2], AXIS["geodetic latitude (Lat)",north, ORDER[1], ANGLEUNIT["degree",0.0174532925199433]], AXIS["geodetic longitude (Lon)",east, ORDER[2], ANGLEUNIT["degree",0.0174532925199433]], ID["EPSG",4326]]], METHOD["Coordinate Frame rotation (geog2D domain)", ID["EPSG",9607]], PARAMETER["X-axis translation",-60.31, LENGTHUNIT["metre",1], ID["EPSG",8605]], PARAMETER["Y-axis translation",245.935, LENGTHUNIT["metre",1], ID["EPSG",8606]], PARAMETER["Z-axis translation",31.008, LENGTHUNIT["metre",1], ID["EPSG",8607]], PARAMETER["X-axis rotation",-12.324, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8608]], PARAMETER["Y-axis rotation",-3.755, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8609]], PARAMETER["Z-axis rotation",7.37, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8610]], PARAMETER["Scale difference",0.447, SCALEUNIT["parts per million",1E-06], ID["EPSG",8611]], OPERATIONACCURACY[5.0], USAGE[ SCOPE["(null/copy) Approximation for medium and low accuracy applications assuming equality between plate-fixed static and earth-fixed dynamic CRSs, ignoring static/dynamic CRS differences."], AREA["Ecuador - mainland - onshore."], BBOX[-5.01,-81.03,1.45,-75.21]], ID["EPSG",3990], REMARK["Parameter values from PSAD56 to SIRGAS 1995 (1) (code 3971). Assumes SIRGAS 1995 and WGS 84 can be considered the same to within the accuracy of the transformation."]]
Definition: PROJ.4
+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=intl +step +proj=helmert +x=-60.31 +y=245.935 +z=31.008 +rx=-12.324 +ry=-3.755 +rz=7.37 +s=0.447 +convention=coordinate_frame +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1
Definition: JavaScript (Proj4js)
proj4.defs("EPSG:3990","+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=intl +step +proj=helmert +x=-60.31 +y=245.935 +z=31.008 +rx=-12.324 +ry=-3.755 +rz=7.37 +s=0.447 +convention=coordinate_frame +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1");
Definition: JSON
{ "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json", "type": "Transformation", "name": "PSAD56 to WGS 84 (14)", "source_crs": { "type": "GeographicCRS", "name": "PSAD56", "datum": { "type": "GeodeticReferenceFrame", "name": "Provisional South American Datum 1956", "ellipsoid": { "name": "International 1924", "semi_major_axis": 6378388, "inverse_flattening": 297 } }, "coordinate_system": { "subtype": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" } ] }, "id": { "authority": "EPSG", "code": 4248 } }, "target_crs": { "type": "GeographicCRS", "name": "WGS 84", "datum_ensemble": { "name": "World Geodetic System 1984 ensemble", "members": [ { "name": "World Geodetic System 1984 (Transit)", "id": { "authority": "EPSG", "code": 1166 } }, { "name": "World Geodetic System 1984 (G730)", "id": { "authority": "EPSG", "code": 1152 } }, { "name": "World Geodetic System 1984 (G873)", "id": { "authority": "EPSG", "code": 1153 } }, { "name": "World Geodetic System 1984 (G1150)", "id": { "authority": "EPSG", "code": 1154 } }, { "name": "World Geodetic System 1984 (G1674)", "id": { "authority": "EPSG", "code": 1155 } }, { "name": "World Geodetic System 1984 (G1762)", "id": { "authority": "EPSG", "code": 1156 } }, { "name": "World Geodetic System 1984 (G2139)", "id": { "authority": "EPSG", "code": 1309 } } ], "ellipsoid": { "name": "WGS 84", "semi_major_axis": 6378137, "inverse_flattening": 298.257223563 }, "accuracy": "2.0", "id": { "authority": "EPSG", "code": 6326 } }, "coordinate_system": { "subtype": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" } ] }, "id": { "authority": "EPSG", "code": 4326 } }, "method": { "name": "Coordinate Frame rotation (geog2D domain)", "id": { "authority": "EPSG", "code": 9607 } }, "parameters": [ { "name": "X-axis translation", "value": -60.31, "unit": "metre", "id": { "authority": "EPSG", "code": 8605 } }, { "name": "Y-axis translation", "value": 245.935, "unit": "metre", "id": { "authority": "EPSG", "code": 8606 } }, { "name": "Z-axis translation", "value": 31.008, "unit": "metre", "id": { "authority": "EPSG", "code": 8607 } }, { "name": "X-axis rotation", "value": -12.324, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8608 } }, { "name": "Y-axis rotation", "value": -3.755, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8609 } }, { "name": "Z-axis rotation", "value": 7.37, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8610 } }, { "name": "Scale difference", "value": 0.447, "unit": { "type": "ScaleUnit", "name": "parts per million", "conversion_factor": 1e-06 }, "id": { "authority": "EPSG", "code": 8611 } } ], "accuracy": "5.0", "scope": "(null/copy) Approximation for medium and low accuracy applications assuming equality between plate-fixed static and earth-fixed dynamic CRSs, ignoring static/dynamic CRS differences.", "area": "Ecuador - mainland - onshore.", "bbox": { "south_latitude": -5.01, "west_longitude": -81.03, "north_latitude": 1.45, "east_longitude": -75.21 }, "id": { "authority": "EPSG", "code": 3990 }, "remarks": "Parameter values from PSAD56 to SIRGAS 1995 (1) (code 3971). Assumes SIRGAS 1995 and WGS 84 can be considered the same to within the accuracy of the transformation." }
Definition: MapServer - MAPfile
PROJECTION "proj=pipeline" "step" "proj=axisswap" "order=2,1" "step" "proj=unitconvert" "xy_in=deg" "xy_out=rad" "step" "proj=push" "v_3" "step" "proj=cart" "ellps=intl" "step" "proj=helmert" "x=-60.31" "y=245.935" "z=31.008" "rx=-12.324" "ry=-3.755" "rz=7.37" "s=0.447" "convention=coordinate_frame" "step" "inv" "proj=cart" "ellps=WGS84" "step" "proj=pop" "v_3" "step" "proj=unitconvert" "xy_in=rad" "xy_out=deg" "step" "proj=axisswap" "order=2,1" END
Definition: Mapnik
<?xml version="1.0" encoding="utf-8"?> <Map srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=intl +step +proj=helmert +x=-60.31 +y=245.935 +z=31.008 +rx=-12.324 +ry=-3.755 +rz=7.37 +s=0.447 +convention=coordinate_frame +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1"> <Layer srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=intl +step +proj=helmert +x=-60.31 +y=245.935 +z=31.008 +rx=-12.324 +ry=-3.755 +rz=7.37 +s=0.447 +convention=coordinate_frame +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1"> </Layer> </Map>
Definition: SQL (PostGIS)
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 3990, 'EPSG', 3990, '+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=intl +step +proj=helmert +x=-60.31 +y=245.935 +z=31.008 +rx=-12.324 +ry=-3.755 +rz=7.37 +s=0.447 +convention=coordinate_frame +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1', 'None');