EPSG:15868

RD/83 to ETRS89 (1)

Attributes

Geodetic CRS: RD/83

Datum: Rauenberg Datum/83

Ellipsoid: Bessel 1841

Prime meridian: Greenwich

Data source: EPSG

Information source: Institute for Cartography and Geodesy; Leipzig via EuroGeographics; http://crs.bkg.bund.de/crs-eu/

Revision date: 2020-03-14

Scope: Transformation of coordinates at 1m level of accuracy.

Remarks: Derived in 2001 at 31 points of the German GPS Network DREF in former East Germany. Although for high accuracy limited to Saxony, may be taken as approximate transformation between DHDN and WGS 84 for all former East German states - see code 15869.

Method: Position Vector transformation (geog2D domain)

Area of use: Germany - Sachsen.

Description: (0,)

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Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["RD/83 to ETRS89 (1)",
    VERSION["BKG-Deu Sach"],
    SOURCECRS[
        GEOGCRS["RD/83",
            DATUM["Rauenberg Datum/83",
                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",4745]]],
    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]]],
    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[1.0],
    USAGE[
        SCOPE["Transformation of coordinates at 1m level of accuracy."],
        AREA["Germany - Sachsen."],
        BBOX[50.2,11.89,51.66,15.04]],
    ID["EPSG",15868],
    REMARK["Derived in 2001 at 31 points of the German GPS Network DREF in former East Germany. Although for high accuracy limited to Saxony, may be taken as approximate transformation between DHDN and WGS 84 for all former East German states - see code 15869."]]

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=GRS80 +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:15868","+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=GRS80 +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": "RD/83 to ETRS89 (1)",
    "source_crs": {
        "type": "GeographicCRS",
        "name": "RD/83",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "Rauenberg Datum/83",
            "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": 4745
        }
    },
    "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
        }
    },
    "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": "1.0",
    "scope": "Transformation of coordinates at 1m level of accuracy.",
    "area": "Germany - Sachsen.",
    "bbox": {
        "south_latitude": 50.2,
        "west_longitude": 11.89,
        "north_latitude": 51.66,
        "east_longitude": 15.04
    },
    "id": {
        "authority": "EPSG",
        "code": 15868
    },
    "remarks": "Derived in 2001 at 31 points of the German GPS Network DREF in former East Germany. Although for high accuracy limited to Saxony, may be taken as approximate transformation between DHDN and WGS 84 for all former East German states - see code 15869."
}

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=GRS80"
	"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=GRS80 +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=GRS80 +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 ( 15868, 'EPSG', 15868, '+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=GRS80 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1', 'None');