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, http://crs.bkg.bund.de
2012-02-13
GIS.
DHDN / 3-degree Gauss-Kruger zone 4 (CRS code 31468) but with axis order reversed (and axis abbreviations changed) for GIS applications.
Cartesian 2D CS. Axes: easting, northing (E,N). Orientations: east, north. 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 (E-N)", 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"]], AXIS["Easting",EAST], AXIS["Northing",NORTH], AUTHORITY["EPSG","5678"]]
Definition: OGC Well Known Text 2 (2019)
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]], USAGE[ SCOPE["GIS."], 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",5678]]], 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_GK_Zone_4_E-N", 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 (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": "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
5678=PROJCS["DHDN / 3-degree Gauss-Kruger zone 4 (E-N)",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"]],AXIS["Easting",EAST],AXIS["Northing",NORTH],AUTHORITY["EPSG","5678"]]
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 ( 5678, 'EPSG', 5678, '+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 (E-N)",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"]],AXIS["Easting",EAST],AXIS["Northing",NORTH],AUTHORITY["EPSG","5678"]]');