EPSG:5651

ETRS89 / UTM zone 31N (N-zE)

Selected transformation

Name: ETRS89 to S45B-IRF (1)

Method: NTv2

Grid Files: s45b_2022.gsb

Remarks: In conjunction with the S45B-reconstruction map projection (code 10253) applied to S45B-IRF (code 10252), enables transformation of coordinates between the historic CRS S45 and ETRS89. File is also available in GeoTIFF format (s45b_2022.tif).

Information source: The Danish Agency for Data Supply and Infrastructure, https://sdfi.dk

Revision date: 2023-05-10

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.

Center coordinates
32257533.49 6177660.05

Projected bounds:
32232569.74 6149791.28
32282713.41 6205605.72

WGS84 bounds:
14.59 54.94
15.25 55.38

Denmark - Bornholm onshore.
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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["S45B-IRF",
            DATUM["System 45 Bornholm Intermediate Datum",
                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]],
            USAGE[
                SCOPE["Intermediate stage in transformations - not used otherwise."],
                AREA["Denmark - Bornholm onshore."],
                BBOX[54.94,14.59,55.38,15.25]],
            ID["EPSG",10252]]],
    ABRIDGEDTRANSFORMATION["ETRS89 to S45B-IRF (1)",
        METHOD["NTv2",
            ID["EPSG",9615]],
        PARAMETERFILE["Latitude and longitude difference file","s45b_2022.gsb"],
        USAGE[
            SCOPE["Intermediate stage in transformations - not used otherwise."],
            AREA["Denmark - Bornholm onshore."],
            BBOX[54.94,14.59,55.38,15.25]],
        ID["EPSG",10255],
        REMARK["In conjunction with the S45B-reconstruction map projection (code 10253) applied to S45B-IRF (code 10252), enables transformation of coordinates between the historic CRS S45 and ETRS89. File is also available in GeoTIFF format (s45b_2022.tif)."]]]

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": {
            "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": "S45B-IRF",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "System 45 Bornholm Intermediate Datum",
            "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": 10252
        }
    },
    "transformation": {
        "name": "ETRS89 to S45B-IRF (1)",
        "method": {
            "name": "NTv2",
            "id": {
                "authority": "EPSG",
                "code": 9615
            }
        },
        "parameters": [
            {
                "name": "Latitude and longitude difference file",
                "value": "s45b_2022.gsb",
                "id": {
                    "authority": "EPSG",
                    "code": 8656
                }
            }
        ],
        "id": {
            "authority": "EPSG",
            "code": 10255
        }
    }
}

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>