EPSG:5166

ED50 / UTM zone 31N to ETRS89 / UTM zone 31N (1)

Attributes

Geodetic CRS: ED50

Datum: European Datum 1950

Ellipsoid: International 1924

Prime meridian: Greenwich

Data source: EPSG

Information source: Geodesy Unit, Cartographic Institute of Catalonia (ICC); http://www.icc.cat

Revision date: 2012-03-24

Scope: Transformation of coordinates at 0.05m level of accuracy.

Remarks: ICC publishes as two tfms, code 100800400 for ED50 to ETRS89 and code 800100400 for reverse when ordinate 1 = 129.547m, ordinate 2 = 208.186m, dS = 0.9999984496 and rotation = -1.56504". See ED50 to ETRS89 (14) (code 5661) for emulation using NTv2.

Method: Similarity transformation

Area of use: Spain - Catalonia onshore.

Description: (0,)

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Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["ED50 / UTM zone 31N to ETRS89 / UTM zone 31N (1)",
    VERSION["ICC-Esp Cat"],
    SOURCECRS[
        PROJCRS["ED50 / UTM zone 31N",
            BASEGEOGCRS["ED50",
                DATUM["European Datum 1950",
                    ELLIPSOID["International 1924",6378388,297,
                        LENGTHUNIT["metre",1]]],
                PRIMEM["Greenwich",0,
                    ANGLEUNIT["degree",0.0174532925199433]],
                ID["EPSG",4230]],
            CONVERSION["UTM zone 31N",
                METHOD["Transverse Mercator",
                    ID["EPSG",9807]],
                PARAMETER["Latitude of natural origin",0,
                    ANGLEUNIT["degree",0.0174532925199433],
                    ID["EPSG",8801]],
                PARAMETER["Longitude of natural origin",3,
                    ANGLEUNIT["degree",0.0174532925199433],
                    ID["EPSG",8802]],
                PARAMETER["Scale factor at natural origin",0.9996,
                    SCALEUNIT["unity",1],
                    ID["EPSG",8805]],
                PARAMETER["False easting",500000,
                    LENGTHUNIT["metre",1],
                    ID["EPSG",8806]],
                PARAMETER["False northing",0,
                    LENGTHUNIT["metre",1],
                    ID["EPSG",8807]]],
            CS[Cartesian,2],
                AXIS["(E)",east,
                    ORDER[1],
                    LENGTHUNIT["metre",1]],
                AXIS["(N)",north,
                    ORDER[2],
                    LENGTHUNIT["metre",1]],
            ID["EPSG",23031]]],
    TARGETCRS[
        PROJCRS["ETRS89 / UTM zone 31N",
            BASEGEOGCRS["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]],
                ID["EPSG",4258]],
            CONVERSION["UTM zone 31N",
                METHOD["Transverse Mercator",
                    ID["EPSG",9807]],
                PARAMETER["Latitude of natural origin",0,
                    ANGLEUNIT["degree",0.0174532925199433],
                    ID["EPSG",8801]],
                PARAMETER["Longitude of natural origin",3,
                    ANGLEUNIT["degree",0.0174532925199433],
                    ID["EPSG",8802]],
                PARAMETER["Scale factor at natural origin",0.9996,
                    SCALEUNIT["unity",1],
                    ID["EPSG",8805]],
                PARAMETER["False easting",500000,
                    LENGTHUNIT["metre",1],
                    ID["EPSG",8806]],
                PARAMETER["False northing",0,
                    LENGTHUNIT["metre",1],
                    ID["EPSG",8807]]],
            CS[Cartesian,2],
                AXIS["(E)",east,
                    ORDER[1],
                    LENGTHUNIT["metre",1]],
                AXIS["(N)",north,
                    ORDER[2],
                    LENGTHUNIT["metre",1]],
            ID["EPSG",25831]]],
    METHOD["Similarity transformation",
        ID["EPSG",9621]],
    PARAMETER["Ordinate 1 of evaluation point in target CRS",-129.549,
        LENGTHUNIT["metre",1],
        ID["EPSG",8621]],
    PARAMETER["Ordinate 2 of evaluation point in target CRS",-208.185,
        LENGTHUNIT["metre",1],
        ID["EPSG",8622]],
    PARAMETER["Scale factor for source CRS axes",1.0000015504,
        SCALEUNIT["unity",1],
        ID["EPSG",1061]],
    PARAMETER["Rotation angle of source CRS axes",1.56504,
        ANGLEUNIT["arc-second",4.84813681109536E-06],
        ID["EPSG",8614]],
    OPERATIONACCURACY[0.05],
    USAGE[
        SCOPE["Transformation of coordinates at 0.05m level of accuracy."],
        AREA["Spain - Catalonia onshore."],
        BBOX[40.49,0.16,42.86,3.39]],
    ID["EPSG",5166],
    REMARK["ICC publishes as two tfms, code 100800400 for ED50 to ETRS89 and code 800100400 for reverse when ordinate 1 = 129.547m, ordinate 2 = 208.186m, dS = 0.9999984496 and rotation = -1.56504"". See ED50 to ETRS89 (14) (code 5661) for emulation using NTv2."]]

Definition: PROJ.4

+proj=affine +xoff=-129.549 +s11=1.00000155037121 +s12=7.58753979846734e-06 +yoff=-208.185 +s21=-7.58753979846734e-06 +s22=1.00000155037121

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:5166","+proj=affine +xoff=-129.549 +s11=1.00000155037121 +s12=7.58753979846734e-06 +yoff=-208.185 +s21=-7.58753979846734e-06 +s22=1.00000155037121");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json",
    "type": "Transformation",
    "name": "ED50 / UTM zone 31N to ETRS89 / UTM zone 31N (1)",
    "source_crs": {
        "type": "ProjectedCRS",
        "name": "ED50 / UTM zone 31N",
        "base_crs": {
            "name": "ED50",
            "datum": {
                "type": "GeodeticReferenceFrame",
                "name": "European Datum 1950",
                "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": 4230
            }
        },
        "conversion": {
            "name": "UTM zone 31N",
            "method": {
                "name": "Transverse Mercator",
                "id": {
                    "authority": "EPSG",
                    "code": 9807
                }
            },
            "parameters": [
                {
                    "name": "Latitude of natural origin",
                    "value": 0,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8801
                    }
                },
                {
                    "name": "Longitude of natural origin",
                    "value": 3,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8802
                    }
                },
                {
                    "name": "Scale factor at natural origin",
                    "value": 0.9996,
                    "unit": "unity",
                    "id": {
                        "authority": "EPSG",
                        "code": 8805
                    }
                },
                {
                    "name": "False easting",
                    "value": 500000,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8806
                    }
                },
                {
                    "name": "False northing",
                    "value": 0,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8807
                    }
                }
            ]
        },
        "coordinate_system": {
            "subtype": "Cartesian",
            "axis": [
                {
                    "name": "Easting",
                    "abbreviation": "E",
                    "direction": "east",
                    "unit": "metre"
                },
                {
                    "name": "Northing",
                    "abbreviation": "N",
                    "direction": "north",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 23031
        }
    },
    "target_crs": {
        "type": "ProjectedCRS",
        "name": "ETRS89 / UTM zone 31N",
        "base_crs": {
            "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
            }
        },
        "conversion": {
            "name": "UTM zone 31N",
            "method": {
                "name": "Transverse Mercator",
                "id": {
                    "authority": "EPSG",
                    "code": 9807
                }
            },
            "parameters": [
                {
                    "name": "Latitude of natural origin",
                    "value": 0,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8801
                    }
                },
                {
                    "name": "Longitude of natural origin",
                    "value": 3,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8802
                    }
                },
                {
                    "name": "Scale factor at natural origin",
                    "value": 0.9996,
                    "unit": "unity",
                    "id": {
                        "authority": "EPSG",
                        "code": 8805
                    }
                },
                {
                    "name": "False easting",
                    "value": 500000,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8806
                    }
                },
                {
                    "name": "False northing",
                    "value": 0,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8807
                    }
                }
            ]
        },
        "coordinate_system": {
            "subtype": "Cartesian",
            "axis": [
                {
                    "name": "Easting",
                    "abbreviation": "E",
                    "direction": "east",
                    "unit": "metre"
                },
                {
                    "name": "Northing",
                    "abbreviation": "N",
                    "direction": "north",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 25831
        }
    },
    "method": {
        "name": "Similarity transformation",
        "id": {
            "authority": "EPSG",
            "code": 9621
        }
    },
    "parameters": [
        {
            "name": "Ordinate 1 of evaluation point in target CRS",
            "value": -129.549,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8621
            }
        },
        {
            "name": "Ordinate 2 of evaluation point in target CRS",
            "value": -208.185,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8622
            }
        },
        {
            "name": "Scale factor for source CRS axes",
            "value": 1.0000015504,
            "unit": "unity",
            "id": {
                "authority": "EPSG",
                "code": 1061
            }
        },
        {
            "name": "Rotation angle of source CRS axes",
            "value": 1.56504,
            "unit": {
                "type": "AngularUnit",
                "name": "arc-second",
                "conversion_factor": 4.84813681109536e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8614
            }
        }
    ],
    "accuracy": "0.05",
    "scope": "Transformation of coordinates at 0.05m level of accuracy.",
    "area": "Spain - Catalonia onshore.",
    "bbox": {
        "south_latitude": 40.49,
        "west_longitude": 0.16,
        "north_latitude": 42.86,
        "east_longitude": 3.39
    },
    "id": {
        "authority": "EPSG",
        "code": 5166
    },
    "remarks": "ICC publishes as two tfms, code 100800400 for ED50 to ETRS89 and code 800100400 for reverse when ordinate 1 = 129.547m, ordinate 2 = 208.186m, dS = 0.9999984496 and rotation = -1.56504\". See ED50 to ETRS89 (14) (code 5661) for emulation using NTv2."
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=affine"
	"xoff=-129.549"
	"s11=1.00000155037121"
	"s12=7.58753979846734e-06"
	"yoff=-208.185"
	"s21=-7.58753979846734e-06"
	"s22=1.00000155037121"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=affine +xoff=-129.549 +s11=1.00000155037121 +s12=7.58753979846734e-06 +yoff=-208.185 +s21=-7.58753979846734e-06 +s22=1.00000155037121">
	<Layer srs="+proj=affine +xoff=-129.549 +s11=1.00000155037121 +s12=7.58753979846734e-06 +yoff=-208.185 +s21=-7.58753979846734e-06 +s22=1.00000155037121">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 5166, 'EPSG', 5166, '+proj=affine +xoff=-129.549 +s11=1.00000155037121 +s12=7.58753979846734e-06 +yoff=-208.185 +s21=-7.58753979846734e-06 +s22=1.00000155037121', 'None');