Transformation of coordinates at 2m level of accuracy.
Parameter values from Lisbon to ETRS89 (2) (code 1790). Assumes ETRS89 and WGS 84 can be considered the same to within the accuracy of the transformation.
Position Vector transformation (geog2D domain)
Portugal - mainland - onshore.
(0,)
Definition: OGC Well Known Text 2 (2019)
COORDINATEOPERATION["Lisbon to WGS 84 (2)", VERSION["EPSG-Prt 2001"], SOURCECRS[ GEOGCRS["Lisbon", DATUM["Lisbon 1937", 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",4207]]], TARGETCRS[ GEOGCRS["ETRS89", ENSEMBLE["European Terrestrial Reference System 1989 ensemble", MEMBER["European Terrestrial Reference Frame 1989"], MEMBER["European Terrestrial Reference Frame 1990"], MEMBER["European Terrestrial Reference Frame 1991"], MEMBER["European Terrestrial Reference Frame 1992"], MEMBER["European Terrestrial Reference Frame 1993"], MEMBER["European Terrestrial Reference Frame 1994"], MEMBER["European Terrestrial Reference Frame 1996"], MEMBER["European Terrestrial Reference Frame 1997"], MEMBER["European Terrestrial Reference Frame 2000"], MEMBER["European Terrestrial Reference Frame 2005"], MEMBER["European Terrestrial Reference Frame 2014"], ELLIPSOID["GRS 1980",6378137,298.257222101, LENGTHUNIT["metre",1]], ENSEMBLEACCURACY[0.1]], 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",4258]]], METHOD["Position Vector transformation (geog2D domain)", ID["EPSG",9606]], PARAMETER["X-axis translation",-282.1, LENGTHUNIT["metre",1], ID["EPSG",8605]], PARAMETER["Y-axis translation",-72.2, LENGTHUNIT["metre",1], ID["EPSG",8606]], PARAMETER["Z-axis translation",120, LENGTHUNIT["metre",1], ID["EPSG",8607]], PARAMETER["X-axis rotation",-1.592, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8608]], PARAMETER["Y-axis rotation",0.145, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8609]], PARAMETER["Z-axis rotation",-0.89, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8610]], PARAMETER["Scale difference",-4.46, SCALEUNIT["parts per million",1E-06], ID["EPSG",8611]], USAGE[ SCOPE["Transformation of coordinates at 2m level of accuracy."], AREA["Portugal - mainland - onshore."], BBOX[36.95,-9.56,42.16,-6.19]], ID["EPSG",1791], REMARK["Parameter values from Lisbon to ETRS89 (2) (code 1790). Assumes ETRS89 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=-282.1 +y=-72.2 +z=120 +rx=-1.592 +ry=0.145 +rz=-0.89 +s=-4.46 +convention=position_vector +step +inv +proj=cart +ellps=GRS80 +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:1791","+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=-282.1 +y=-72.2 +z=120 +rx=-1.592 +ry=0.145 +rz=-0.89 +s=-4.46 +convention=position_vector +step +inv +proj=cart +ellps=GRS80 +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": "Lisbon to WGS 84 (2)", "source_crs": { "type": "GeographicCRS", "name": "Lisbon", "datum": { "type": "GeodeticReferenceFrame", "name": "Lisbon 1937", "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": 4207 } }, "target_crs": { "type": "GeographicCRS", "name": "ETRS89", "datum_ensemble": { "name": "European Terrestrial Reference System 1989 ensemble", "members": [ { "name": "European Terrestrial Reference Frame 1989", "id": { "authority": "EPSG", "code": 1178 } }, { "name": "European Terrestrial Reference Frame 1990", "id": { "authority": "EPSG", "code": 1179 } }, { "name": "European Terrestrial Reference Frame 1991", "id": { "authority": "EPSG", "code": 1180 } }, { "name": "European Terrestrial Reference Frame 1992", "id": { "authority": "EPSG", "code": 1181 } }, { "name": "European Terrestrial Reference Frame 1993", "id": { "authority": "EPSG", "code": 1182 } }, { "name": "European Terrestrial Reference Frame 1994", "id": { "authority": "EPSG", "code": 1183 } }, { "name": "European Terrestrial Reference Frame 1996", "id": { "authority": "EPSG", "code": 1184 } }, { "name": "European Terrestrial Reference Frame 1997", "id": { "authority": "EPSG", "code": 1185 } }, { "name": "European Terrestrial Reference Frame 2000", "id": { "authority": "EPSG", "code": 1186 } }, { "name": "European Terrestrial Reference Frame 2005", "id": { "authority": "EPSG", "code": 1204 } }, { "name": "European Terrestrial Reference Frame 2014", "id": { "authority": "EPSG", "code": 1206 } } ], "ellipsoid": { "name": "GRS 1980", "semi_major_axis": 6378137, "inverse_flattening": 298.257222101 }, "accuracy": "0.1", "id": { "authority": "EPSG", "code": 6258 } }, "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": 4258 } }, "method": { "name": "Position Vector transformation (geog2D domain)", "id": { "authority": "EPSG", "code": 9606 } }, "parameters": [ { "name": "X-axis translation", "value": -282.1, "unit": "metre", "id": { "authority": "EPSG", "code": 8605 } }, { "name": "Y-axis translation", "value": -72.2, "unit": "metre", "id": { "authority": "EPSG", "code": 8606 } }, { "name": "Z-axis translation", "value": 120, "unit": "metre", "id": { "authority": "EPSG", "code": 8607 } }, { "name": "X-axis rotation", "value": -1.592, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8608 } }, { "name": "Y-axis rotation", "value": 0.145, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8609 } }, { "name": "Z-axis rotation", "value": -0.89, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8610 } }, { "name": "Scale difference", "value": -4.46, "unit": { "type": "ScaleUnit", "name": "parts per million", "conversion_factor": 1e-06 }, "id": { "authority": "EPSG", "code": 8611 } } ], "scope": "Transformation of coordinates at 2m level of accuracy.", "area": "Portugal - mainland - onshore.", "bbox": { "south_latitude": 36.95, "west_longitude": -9.56, "north_latitude": 42.16, "east_longitude": -6.19 }, "id": { "authority": "EPSG", "code": 1791 }, "remarks": "Parameter values from Lisbon to ETRS89 (2) (code 1790). Assumes ETRS89 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=-282.1" "y=-72.2" "z=120" "rx=-1.592" "ry=0.145" "rz=-0.89" "s=-4.46" "convention=position_vector" "step" "inv" "proj=cart" "ellps=GRS80" "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=-282.1 +y=-72.2 +z=120 +rx=-1.592 +ry=0.145 +rz=-0.89 +s=-4.46 +convention=position_vector +step +inv +proj=cart +ellps=GRS80 +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=-282.1 +y=-72.2 +z=120 +rx=-1.592 +ry=0.145 +rz=-0.89 +s=-4.46 +convention=position_vector +step +inv +proj=cart +ellps=GRS80 +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 ( 1791, 'EPSG', 1791, '+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=-282.1 +y=-72.2 +z=120 +rx=-1.592 +ry=0.145 +rz=-0.89 +s=-4.46 +convention=position_vector +step +inv +proj=cart +ellps=GRS80 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1', 'None');