EPSG:15869

DHDN to WGS 84 (3)

Attributes

Geodetic CRS: DHDN

Datum: Deutsches Hauptdreiecksnetz

Ellipsoid: Bessel 1841

Prime meridian: Greenwich

Data source: EPSG

Information source: OGP

Revision date: 2021-09-23

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.

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.

Method: Position Vector transformation (geog2D domain)

Area of use: Germany - states of former East Germany - Berlin, Brandenburg; Mecklenburg-Vorpommern; Sachsen; Sachsen-Anhalt; Thuringen.

Description: (612.4, 77.0, 440.2, -0.054, 0.057, -2.797, 2.55)

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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/v0.4/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');

Definition: OGC WKT 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."]]