EPSG:5678

DHDN / 3-degree Gauss-Kruger zone 4 (E-N)

Available transformations
to EPSG:4326
EPSG:4326 - WGS 84

Selected transformation

Remarks: Approximation at the +/- 1m level assuming that ETRF89 is equivalent to WGS 84.

Information source: OGP

Revision date: 1998-06-30

Attributes

Unit: metre

Geodetic CRS: DHDN

Datum: Deutsches Hauptdreiecksnetz

Ellipsoid: Bessel 1841

Prime meridian: Greenwich

Data source: EPSG

Information source: Bundesamt für Kartographie und Geodäsie, http://crs.bkg.bund.de

Revision date: 2012-02-13

Scope: GIS.

Remarks: DHDN / 3-degree Gauss-Kruger zone 4 (CRS code 31468) but with axis order reversed (and axis abbreviations changed) for GIS applications.

Area of use: Germany - former West Germany onshore between 10°30'E and 13°30'E - states of Bayern, Berlin, Niedersachsen, Schleswig-Holstein.

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

Center coordinates
4349683.68 5673661.07

Projected bounds:
4035495.78 5236664.64
4639219.29 6123794.77

WGS84 bounds:
5.86 47.27
13.84 55.09

Germany - states of former West Germany onshore - Baden-Wurtemberg, Bayern, Bremen, Hamburg, Hessen, Niedersachsen, Nordrhein-Westfalen, Rheinland-Pfalz, Saarland, Schleswig-Holstein.
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Definition: OGC Well Known Text 2 (2019)

BOUNDCRS[
    SOURCECRS[
        BOUNDCRS[
            SOURCECRS[
                PROJCRS["DHDN / 3-degree Gauss-Kruger zone 4 (E-N)",
                    BASEGEOGCRS["DHDN",
                        DATUM["Deutsches Hauptdreiecksnetz",
                            ELLIPSOID["Bessel 1841",6377397.155,299.1528128,
                                LENGTHUNIT["metre",1]]],
                        PRIMEM["Greenwich",0,
                            ANGLEUNIT["degree",0.0174532925199433]],
                        ID["EPSG",4314]],
                    CONVERSION["3-degree Gauss-Kruger zone 4",
                        METHOD["Transverse Mercator",
                            ID["EPSG",9807]],
                        PARAMETER["Latitude of natural origin",0,
                            ANGLEUNIT["degree",0.0174532925199433],
                            ID["EPSG",8801]],
                        PARAMETER["Longitude of natural origin",12,
                            ANGLEUNIT["degree",0.0174532925199433],
                            ID["EPSG",8802]],
                        PARAMETER["Scale factor at natural origin",1,
                            SCALEUNIT["unity",1],
                            ID["EPSG",8805]],
                        PARAMETER["False easting",4500000,
                            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",5678]]],
            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]]],
            ABRIDGEDTRANSFORMATION["DHDN to ETRS89 (1)",
                METHOD["Coordinate Frame rotation (geog2D domain)",
                    ID["EPSG",9607]],
                PARAMETER["X-axis translation",582,
                    ID["EPSG",8605]],
                PARAMETER["Y-axis translation",105,
                    ID["EPSG",8606]],
                PARAMETER["Z-axis translation",414,
                    ID["EPSG",8607]],
                PARAMETER["X-axis rotation",-1.04,
                    ID["EPSG",8608]],
                PARAMETER["Y-axis rotation",-0.35,
                    ID["EPSG",8609]],
                PARAMETER["Z-axis rotation",3.08,
                    ID["EPSG",8610]],
                PARAMETER["Scale difference",1.0000083,
                    ID["EPSG",8611]],
                ID["EPSG",1309]]]],
    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]],
            USAGE[
                SCOPE["Horizontal component of 3D system."],
                AREA["World."],
                BBOX[-90,-180,90,180]],
            ID["EPSG",4326]]],
    ABRIDGEDTRANSFORMATION["ETRS89 to WGS 84 (1)",
        METHOD["Geocentric translations (geog2D domain)",
            ID["EPSG",9603]],
        PARAMETER["X-axis translation",0,
            ID["EPSG",8605]],
        PARAMETER["Y-axis translation",0,
            ID["EPSG",8606]],
        PARAMETER["Z-axis translation",0,
            ID["EPSG",8607]],
        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["Europe - onshore and offshore: Albania; Andorra; Austria; Belgium; Bosnia and Herzegovina; Bulgaria; Croatia; Cyprus; Czechia; Denmark; Estonia; Faroe Islands; Finland; France; Germany; Gibraltar; Greece; Hungary; Ireland; Italy; Kosovo; Latvia; Liechtenstein; Lithuania; Luxembourg; Malta; Moldova; Monaco; Montenegro; Netherlands; North Macedonia; Norway including Svalbard and Jan Mayen; Poland; Portugal; Romania; San Marino; Serbia; Slovakia; Slovenia; Spain; Sweden; Switzerland; United Kingdom (UK) including Channel Islands and Isle of Man; Vatican City State."],
            BBOX[32.88,-16.1,84.73,40.18]],
        ID["EPSG",1149],
        REMARK["ETRS89 and WGS 84 are realizations of ITRS coincident to within 1 metre. This transformation has an accuracy equal to the coincidence figure."]]]

Definition: PROJ.4

+proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +towgs84=0,0,0,0,0,0,0 +units=m +no_defs +type=crs

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:5678","+proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +towgs84=0,0,0,0,0,0,0 +units=m +no_defs +type=crs");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.5/projjson.schema.json",
    "type": "BoundCRS",
    "source_crs": {
        "type": "BoundCRS",
        "source_crs": {
            "type": "ProjectedCRS",
            "name": "DHDN / 3-degree Gauss-Kruger zone 4 (E-N)",
            "base_crs": {
                "name": "DHDN",
                "datum": {
                    "type": "GeodeticReferenceFrame",
                    "name": "Deutsches Hauptdreiecksnetz",
                    "ellipsoid": {
                        "name": "Bessel 1841",
                        "semi_major_axis": 6377397.155,
                        "inverse_flattening": 299.1528128
                    }
                },
                "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": 4314
                }
            },
            "conversion": {
                "name": "3-degree Gauss-Kruger zone 4",
                "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": 12,
                        "unit": "degree",
                        "id": {
                            "authority": "EPSG",
                            "code": 8802
                        }
                    },
                    {
                        "name": "Scale factor at natural origin",
                        "value": 1,
                        "unit": "unity",
                        "id": {
                            "authority": "EPSG",
                            "code": 8805
                        }
                    },
                    {
                        "name": "False easting",
                        "value": 4500000,
                        "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": 5678
            }
        },
        "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
            }
        },
        "transformation": {
            "name": "DHDN to ETRS89 (1)",
            "method": {
                "name": "Coordinate Frame rotation (geog2D domain)",
                "id": {
                    "authority": "EPSG",
                    "code": 9607
                }
            },
            "parameters": [
                {
                    "name": "X-axis translation",
                    "value": 582,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8605
                    }
                },
                {
                    "name": "Y-axis translation",
                    "value": 105,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8606
                    }
                },
                {
                    "name": "Z-axis translation",
                    "value": 414,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8607
                    }
                },
                {
                    "name": "X-axis rotation",
                    "value": -1.04,
                    "unit": {
                        "type": "AngularUnit",
                        "name": "arc-second",
                        "conversion_factor": 4.84813681109536e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8608
                    }
                },
                {
                    "name": "Y-axis rotation",
                    "value": -0.35,
                    "unit": {
                        "type": "AngularUnit",
                        "name": "arc-second",
                        "conversion_factor": 4.84813681109536e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8609
                    }
                },
                {
                    "name": "Z-axis rotation",
                    "value": 3.08,
                    "unit": {
                        "type": "AngularUnit",
                        "name": "arc-second",
                        "conversion_factor": 4.84813681109536e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8610
                    }
                },
                {
                    "name": "Scale difference",
                    "value": 8.3,
                    "unit": {
                        "type": "ScaleUnit",
                        "name": "parts per million",
                        "conversion_factor": 1e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8611
                    }
                }
            ],
            "id": {
                "authority": "EPSG",
                "code": 1309
            }
        }
    },
    "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
        }
    },
    "transformation": {
        "name": "ETRS89 to WGS 84 (1)",
        "method": {
            "name": "Geocentric translations (geog2D domain)",
            "id": {
                "authority": "EPSG",
                "code": 9603
            }
        },
        "parameters": [
            {
                "name": "X-axis translation",
                "value": 0,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8605
                }
            },
            {
                "name": "Y-axis translation",
                "value": 0,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8606
                }
            },
            {
                "name": "Z-axis translation",
                "value": 0,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8607
                }
            }
        ],
        "id": {
            "authority": "EPSG",
            "code": 1149
        }
    }
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=tmerc"
	"lat_0=0"
	"lon_0=12"
	"k=1"
	"x_0=4500000"
	"y_0=0"
	"ellps=bessel"
	"towgs84=0,0,0,0,0,0,0"
	"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=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +towgs84=0,0,0,0,0,0,0 +units=m +no_defs +type=crs">
	<Layer srs="+proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +towgs84=0,0,0,0,0,0,0 +units=m +no_defs +type=crs">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 5678, 'EPSG', 5678, '+proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +towgs84=0,0,0,0,0,0,0 +units=m +no_defs +type=crs', 'None');