BETA2007.gsb
These parameter values are taken from DHDN to ETRS89 (8) (code 15948) as ETRS89 may be considered equivalent to WGS 84 within the accuracy of the transformation.
OGP
2021-09-23
metre
EPSG
Bundesamt für Kartographie und Geodäsie via EuroGeographics; http://crs.bkg.bund.de/crs-eu/
2012-01-21
Cadastre, engineering survey, topographic mapping.
Zone width 3 degrees. Also used offshore by State Geological Surveys. Not used offshore in oil industry. See CRS code 5678 for variant with axes order reversed to easting before northing for use in GIS applications.
Cartesian 2D CS. Axes: northing, easting (X,Y). Orientations: north, east. UoM: m.
4391723.01 5672810.04
4035549.18 5236827.63
4730146.04 6124046.06
5.86 47.27
15.04 55.09
Definition: OGC Well Known Text
PROJCS["DHDN / 3-degree Gauss-Kruger zone 4", GEOGCS["DHDN", DATUM["Deutsches_Hauptdreiecksnetz", SPHEROID["Bessel 1841",6377397.155,299.1528128], EXTENSION["PROJ4_GRIDS","BETA2007.gsb"]], PRIMEM["Greenwich",0, AUTHORITY["EPSG","8901"]], UNIT["degree",0.0174532925199433, AUTHORITY["EPSG","9122"]], AUTHORITY["EPSG","4314"]], PROJECTION["Transverse_Mercator"], PARAMETER["latitude_of_origin",0], PARAMETER["central_meridian",12], PARAMETER["scale_factor",1], PARAMETER["false_easting",4500000], PARAMETER["false_northing",0], UNIT["metre",1, AUTHORITY["EPSG","9001"]], AUTHORITY["EPSG","31468"]]
Definition: OGC Well Known Text 2 (2019)
BOUNDCRS[ SOURCECRS[ PROJCRS["DHDN / 3-degree Gauss-Kruger zone 4", 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["northing (X)",north, ORDER[1], LENGTHUNIT["metre",1]], AXIS["easting (Y)",east, ORDER[2], LENGTHUNIT["metre",1]], USAGE[ SCOPE["Cadastre, engineering survey, topographic mapping."], AREA["Germany - former West Germany onshore between 10°30'E and 13°30'E - states of Bayern, Berlin, Niedersachsen, Schleswig-Holstein."], BBOX[47.39,10.5,54.59,13.51]], ID["EPSG",31468]]], 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["DHDN to WGS 84 (4)", METHOD["NTv2", ID["EPSG",9615]], PARAMETERFILE["Latitude and longitude difference file","BETA2007.gsb"], 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["Germany - onshore - states of Baden-Wurtemberg, Bayern, Berlin, Brandenburg, Bremen, Hamburg, Hessen, Mecklenburg-Vorpommern, Niedersachsen, Nordrhein-Westfalen, Rheinland-Pfalz, Saarland, Sachsen, Sachsen-Anhalt, Schleswig-Holstein, Thuringen."], BBOX[47.27,5.86,55.09,15.04]], ID["EPSG",15949], REMARK["These parameter values are taken from DHDN to ETRS89 (8) (code 15948) as ETRS89 may be considered equivalent to WGS 84 within the accuracy of the transformation."]]]
Definition: ESRI Well Known Text
PROJCS["DHDN_3_Degree_Gauss_Zone_4", GEOGCS["GCS_Deutsches_Hauptdreiecksnetz", DATUM["D_Deutsches_Hauptdreiecksnetz", SPHEROID["Bessel_1841",6377397.155,299.1528128], EXTENSION["PROJ4_GRIDS","BETA2007.gsb"]], PRIMEM["Greenwich",0.0], UNIT["Degree",0.0174532925199433]], PROJECTION["Gauss_Kruger"], PARAMETER["False_Easting",4500000.0], PARAMETER["False_Northing",0.0], PARAMETER["Central_Meridian",12.0], PARAMETER["Scale_Factor",1.0], PARAMETER["Latitude_Of_Origin",0.0], UNIT["Meter",1.0]]
Definition: JSON
{ "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json", "type": "BoundCRS", "source_crs": { "type": "ProjectedCRS", "name": "DHDN / 3-degree Gauss-Kruger zone 4", "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": "Northing", "abbreviation": "X", "direction": "north", "unit": "metre" }, { "name": "Easting", "abbreviation": "Y", "direction": "east", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 31468 } }, "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": "DHDN to WGS 84 (4)", "method": { "name": "NTv2", "id": { "authority": "EPSG", "code": 9615 } }, "parameters": [ { "name": "Latitude and longitude difference file", "value": "BETA2007.gsb", "id": { "authority": "EPSG", "code": 8656 } } ], "id": { "authority": "EPSG", "code": 15949 } } }
Definition: GeoServer
31468=PROJCS["DHDN / 3-degree Gauss-Kruger zone 4",GEOGCS["DHDN",DATUM["Deutsches_Hauptdreiecksnetz",SPHEROID["Bessel 1841",6377397.155,299.1528128],EXTENSION["PROJ4_GRIDS","BETA2007.gsb"]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4314"]],PROJECTION["Transverse_Mercator"],PARAMETER["latitude_of_origin",0],PARAMETER["central_meridian",12],PARAMETER["scale_factor",1],PARAMETER["false_easting",4500000],PARAMETER["false_northing",0],UNIT["metre",1,AUTHORITY["EPSG","9001"]],AUTHORITY["EPSG","31468"]]
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 +nadgrids=BETA2007.gsb +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 +nadgrids=BETA2007.gsb +units=m +no_defs +type=crs"> </Layer> </Map>
Definition: SQL (PostGIS)
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 31468, 'EPSG', 31468, '+proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +nadgrids=BETA2007.gsb +units=m +no_defs +type=crs', 'PROJCS["DHDN / 3-degree Gauss-Kruger zone 4",GEOGCS["DHDN",DATUM["Deutsches_Hauptdreiecksnetz",SPHEROID["Bessel 1841",6377397.155,299.1528128],EXTENSION["PROJ4_GRIDS","BETA2007.gsb"]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4314"]],PROJECTION["Transverse_Mercator"],PARAMETER["latitude_of_origin",0],PARAMETER["central_meridian",12],PARAMETER["scale_factor",1],PARAMETER["false_easting",4500000],PARAMETER["false_northing",0],UNIT["metre",1,AUTHORITY["EPSG","9001"]],AUTHORITY["EPSG","31468"]]');