(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.
Parameter values taken from RD/83 to ETRS89 (1) (tfm code 15868) assuming that within the accuracy of the transformation ETRS89 is equivalent to WGS 84 and RD/83 is equivalent to DHDN.
Position Vector transformation (geog2D domain)
(612.4, 77.0, 440.2, -0.054, 0.057, -2.797, 2.55)
Definition: OGC Well Known Text 2 (2019)
COORDINATEOPERATION["DHDN to WGS 84 (3)", VERSION["OGP-Deu E"], SOURCECRS[ GEOGCRS["DHDN", DATUM["Deutsches Hauptdreiecksnetz", ELLIPSOID["Bessel 1841",6377397.155,299.1528128, 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]], ID["EPSG",4314]]], 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]], ID["EPSG",4326]]], METHOD["Position Vector transformation (geog2D domain)", ID["EPSG",9606]], PARAMETER["X-axis translation",612.4, LENGTHUNIT["metre",1], ID["EPSG",8605]], PARAMETER["Y-axis translation",77, LENGTHUNIT["metre",1], ID["EPSG",8606]], PARAMETER["Z-axis translation",440.2, LENGTHUNIT["metre",1], ID["EPSG",8607]], PARAMETER["X-axis rotation",-0.054, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8608]], PARAMETER["Y-axis rotation",0.057, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8609]], PARAMETER["Z-axis rotation",-2.797, ANGLEUNIT["arc-second",4.84813681109536E-06], ID["EPSG",8610]], PARAMETER["Scale difference",2.55, SCALEUNIT["parts per million",1E-06], ID["EPSG",8611]], OPERATIONACCURACY[2.0], 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 - states of former East Germany - Berlin, Brandenburg; Mecklenburg-Vorpommern; Sachsen; Sachsen-Anhalt; Thuringen."], BBOX[50.2,9.92,54.74,15.04]], ID["EPSG",15869], REMARK["Parameter values taken from RD/83 to ETRS89 (1) (tfm code 15868) assuming that within the accuracy of the transformation ETRS89 is equivalent to WGS 84 and RD/83 is equivalent to DHDN."]]
Definition: PROJ.4
+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=612.4 +y=77 +z=440.2 +rx=-0.054 +ry=0.057 +rz=-2.797 +s=2.55 +convention=position_vector +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1
Definition: JavaScript (Proj4js)
proj4.defs("EPSG:15869","+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=612.4 +y=77 +z=440.2 +rx=-0.054 +ry=0.057 +rz=-2.797 +s=2.55 +convention=position_vector +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1");
Definition: JSON
{ "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json", "type": "Transformation", "name": "DHDN to WGS 84 (3)", "source_crs": { "type": "GeographicCRS", "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 } }, "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 } }, "method": { "name": "Position Vector transformation (geog2D domain)", "id": { "authority": "EPSG", "code": 9606 } }, "parameters": [ { "name": "X-axis translation", "value": 612.4, "unit": "metre", "id": { "authority": "EPSG", "code": 8605 } }, { "name": "Y-axis translation", "value": 77, "unit": "metre", "id": { "authority": "EPSG", "code": 8606 } }, { "name": "Z-axis translation", "value": 440.2, "unit": "metre", "id": { "authority": "EPSG", "code": 8607 } }, { "name": "X-axis rotation", "value": -0.054, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8608 } }, { "name": "Y-axis rotation", "value": 0.057, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8609 } }, { "name": "Z-axis rotation", "value": -2.797, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8610 } }, { "name": "Scale difference", "value": 2.55, "unit": { "type": "ScaleUnit", "name": "parts per million", "conversion_factor": 1e-06 }, "id": { "authority": "EPSG", "code": 8611 } } ], "accuracy": "2.0", "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 - states of former East Germany - Berlin, Brandenburg; Mecklenburg-Vorpommern; Sachsen; Sachsen-Anhalt; Thuringen.", "bbox": { "south_latitude": 50.2, "west_longitude": 9.92, "north_latitude": 54.74, "east_longitude": 15.04 }, "id": { "authority": "EPSG", "code": 15869 }, "remarks": "Parameter values taken from RD/83 to ETRS89 (1) (tfm code 15868) assuming that within the accuracy of the transformation ETRS89 is equivalent to WGS 84 and RD/83 is equivalent to DHDN." }
Definition: MapServer - MAPfile
PROJECTION "proj=pipeline" "step" "proj=axisswap" "order=2,1" "step" "proj=unitconvert" "xy_in=deg" "xy_out=rad" "step" "proj=push" "v_3" "step" "proj=cart" "ellps=bessel" "step" "proj=helmert" "x=612.4" "y=77" "z=440.2" "rx=-0.054" "ry=0.057" "rz=-2.797" "s=2.55" "convention=position_vector" "step" "inv" "proj=cart" "ellps=WGS84" "step" "proj=pop" "v_3" "step" "proj=unitconvert" "xy_in=rad" "xy_out=deg" "step" "proj=axisswap" "order=2,1" END
Definition: Mapnik
<?xml version="1.0" encoding="utf-8"?> <Map srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=612.4 +y=77 +z=440.2 +rx=-0.054 +ry=0.057 +rz=-2.797 +s=2.55 +convention=position_vector +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1"> <Layer srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=612.4 +y=77 +z=440.2 +rx=-0.054 +ry=0.057 +rz=-2.797 +s=2.55 +convention=position_vector +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1"> </Layer> </Map>
Definition: SQL (PostGIS)
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 15869, 'EPSG', 15869, '+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=612.4 +y=77 +z=440.2 +rx=-0.054 +ry=0.057 +rz=-2.797 +s=2.55 +convention=position_vector +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1', 'None');