EPSG:5651

ETRS89 / UTM zone 31N (N-zE)

Selected transformation

Name: ETRS89 to EWR3-IRF (1)

Method: NTv2

Grid Files: TN15-ETRS89-to-EWR3-IRF.gsb

Remarks: In conjunction with the EWR3-TM map projection (code 9765) applied to EWR3-IRF (code 10849), emulates the EWR3 Snake projection. Applied to ETRS89 (as realized through the OSNet v2009 CORS) defines EWR3-IRF hence is errorless. In 2024 the EWR2 Grid (ETRS89 / EWR2 SnakeGrid) was extended eastwards as the EWR3 Grid (ETRS89 / EWR3 SnakeGrid). To the west of Bedford the EWR2 Grid is an exact subset of the EWR3 Grid; over this extent the EWR3 Grid replaces the EWR2 Grid. The EWR2 emulation file TN15-ETRS89-to-EWR2-IRF.gsb (CT code 9764) is a subset of this EWR3 emulation file TN15-ETRS89-to-EWR3-IRF.gsb; west of Bedford the content of the two files is identical.

Information source: Network Rail.

Revision date: 2025-05-05

Attributes

Unit: metre

Geodetic CRS: ETRS89

Datum: European Terrestrial Reference System 1989 ensemble

Data source: EPSG

Information source: Landesamt für innere Verwaltung Mecklenburg-Vorpommern.

Revision date: 2024-01-04

Scope: Topographic mapping.

Remarks: Variant used in Germany of ETRS89 / UTM zone 31N (code 25831) in which axis order is reversed and easting has zone prefix. Does not distinguish between different realizations of ETRS89. For cadastre and engineering survey use DREF91/2016 CRS code 10286.

Area of use: Germany - onshore and offshore west of 6°E.

Coordinate system: Cartesian 2D CS. Axes: northing, easting (N,E). Orientations: north, east. UoM: m.

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Definition: OGC Well Known Text 2 (2019)

BOUNDCRS[
    SOURCECRS[
        PROJCRS["ETRS89 / UTM zone 31N (N-zE)",
            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"],
                    MEMBER["European Terrestrial Reference Frame 2020"],
                    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 with prefix",
                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",31500000,
                    LENGTHUNIT["metre",1],
                    ID["EPSG",8806]],
                PARAMETER["False northing",0,
                    LENGTHUNIT["metre",1],
                    ID["EPSG",8807]]],
            CS[Cartesian,2],
                AXIS["northing (N)",north,
                    ORDER[1],
                    LENGTHUNIT["metre",1]],
                AXIS["easting (E)",east,
                    ORDER[2],
                    LENGTHUNIT["metre",1]],
            USAGE[
                SCOPE["Topographic mapping."],
                AREA["Germany - onshore and offshore west of 6°E."],
                BBOX[50.97,3.34,55.92,6.01]],
            ID["EPSG",5651]]],
    TARGETCRS[
        GEOGCRS["EWR3-IRF",
            DATUM["EWR3 Intermediate Reference Frame",
                ELLIPSOID["GRS 1980",6378137,298.257222101,
                    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]],
            USAGE[
                SCOPE["Engineering survey and topographic mapping for railway applications."],
                AREA["United Kingdom (UK) - on or related to the East West Rail (Phases 2 and 3) route from Oxford to Cambridge via Bicester, Bletchley and Bedford, including the route from Claydon Junction to Aylesbury and Princes Risborough."],
                BBOX[51.7,-1.43,52.33,0.27]],
            ID["EPSG",10849]]],
    ABRIDGEDTRANSFORMATION["ETRS89 to EWR3-IRF (1)",
        METHOD["NTv2",
            ID["EPSG",9615]],
        PARAMETERFILE["Latitude and longitude difference file","TN15-ETRS89-to-EWR3-IRF.gsb"],
        USAGE[
            SCOPE["Engineering survey and topographic mapping for railway applications."],
            AREA["United Kingdom (UK) - on or related to the East West Rail (Phases 2 and 3) route from Oxford to Cambridge via Bicester, Bletchley and Bedford, including the route from Claydon Junction to Aylesbury and Princes Risborough."],
            BBOX[51.7,-1.43,52.33,0.27]],
        ID["EPSG",10850],
        REMARK["In conjunction with the EWR3-TM map projection (code 9765) applied to EWR3-IRF (code 10849), emulates the EWR3 Snake projection. Applied to ETRS89 (as realized through the OSNet v2009 CORS) defines EWR3-IRF hence is errorless. In 2024 the EWR2 Grid (ETRS89 / EWR2 SnakeGrid) was extended eastwards as the EWR3 Grid (ETRS89 / EWR3 SnakeGrid). To the west of Bedford the EWR2 Grid is an exact subset of the EWR3 Grid; over this extent the EWR3 Grid replaces the EWR2 Grid. The EWR2 emulation file TN15-ETRS89-to-EWR2-IRF.gsb (CT code 9764) is a subset of this EWR3 emulation file TN15-ETRS89-to-EWR3-IRF.gsb; west of Bedford the content of the two files is identical."]]]

Definition: PROJ.4

+proj=tmerc +lat_0=0 +lon_0=3 +k=0.9996 +x_0=31500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +type=crs

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:5651","+proj=tmerc +lat_0=0 +lon_0=3 +k=0.9996 +x_0=31500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +type=crs");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json",
    "type": "BoundCRS",
    "source_crs": {
        "type": "ProjectedCRS",
        "name": "ETRS89 / UTM zone 31N (N-zE)",
        "base_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
                        }
                    },
                    {
                        "name": "European Terrestrial Reference Frame 2020",
                        "id": {
                            "authority": "EPSG",
                            "code": 1382
                        }
                    }
                ],
                "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 with prefix",
            "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": 31500000,
                    "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": "Northing",
                    "abbreviation": "N",
                    "direction": "north",
                    "unit": "metre"
                },
                {
                    "name": "Easting",
                    "abbreviation": "E",
                    "direction": "east",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 5651
        }
    },
    "target_crs": {
        "type": "GeographicCRS",
        "name": "EWR3-IRF",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "EWR3 Intermediate Reference Frame",
            "ellipsoid": {
                "name": "GRS 1980",
                "semi_major_axis": 6378137,
                "inverse_flattening": 298.257222101
            }
        },
        "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": 10849
        }
    },
    "transformation": {
        "name": "ETRS89 to EWR3-IRF (1)",
        "method": {
            "name": "NTv2",
            "id": {
                "authority": "EPSG",
                "code": 9615
            }
        },
        "parameters": [
            {
                "name": "Latitude and longitude difference file",
                "value": "TN15-ETRS89-to-EWR3-IRF.gsb",
                "id": {
                    "authority": "EPSG",
                    "code": 8656
                }
            }
        ],
        "id": {
            "authority": "EPSG",
            "code": 10850
        }
    }
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=tmerc"
	"lat_0=0"
	"lon_0=3"
	"k=0.9996"
	"x_0=31500000"
	"y_0=0"
	"ellps=GRS80"
	"units=m"
	"no_defs"
	"type=crs"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=tmerc +lat_0=0 +lon_0=3 +k=0.9996 +x_0=31500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +type=crs">
	<Layer srs="+proj=tmerc +lat_0=0 +lon_0=3 +k=0.9996 +x_0=31500000 +y_0=0 +ellps=GRS80 +units=m +no_defs +type=crs">
	</Layer>
</Map>