EPSG:1751

Amersfoort to ETRS89 (1)

Attributes

Geodetic CRS: Amersfoort

Datum: Amersfoort

Ellipsoid: Bessel 1841

Prime meridian: Greenwich

Data source: EPSG

Information source: http://www.rdnap.nl/ Also Nederlandse Commissie voor Geodesie publication 30; 3rd edition 1997. Also with change of method and parameter units at EuroGeographics; http://crs.bkg.bund.de/crs-eu/

Revision date: 2023-01-17

Scope: Transformation of coordinates at 0.5m level of accuracy.

Remarks: Replaced by Amersfoort to ETRS89 (3) (tfm code 15739). Dutch sources also quote an equivalent transformation using the Molodenski-Badekas 10-parameter method (M-B) - see tfm code 1066.

Method: Coordinate Frame rotation (geog2D domain)

Area of use: Netherlands - onshore, including Waddenzee, Dutch Wadden Islands and 12-mile offshore coastal zone.

Description: (0,)

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Netherlands - onshore, including Waddenzee, Dutch Wadden Islands and 12-mile offshore coastal zone.

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Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["Amersfoort to ETRS89 (1)",
    VERSION["NCG-Nld 2000 CF"],
    SOURCECRS[
        GEOGCRS["Amersfoort",
            DATUM["Amersfoort",
                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",4289]]],
    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["Coordinate Frame rotation (geog2D domain)",
        ID["EPSG",9607]],
    PARAMETER["X-axis translation",565.04,
        LENGTHUNIT["metre",1],
        ID["EPSG",8605]],
    PARAMETER["Y-axis translation",49.91,
        LENGTHUNIT["metre",1],
        ID["EPSG",8606]],
    PARAMETER["Z-axis translation",465.84,
        LENGTHUNIT["metre",1],
        ID["EPSG",8607]],
    PARAMETER["X-axis rotation",1.9848,
        ANGLEUNIT["microradian",1E-06],
        ID["EPSG",8608]],
    PARAMETER["Y-axis rotation",-1.7439,
        ANGLEUNIT["microradian",1E-06],
        ID["EPSG",8609]],
    PARAMETER["Z-axis rotation",9.0587,
        ANGLEUNIT["microradian",1E-06],
        ID["EPSG",8610]],
    PARAMETER["Scale difference",4.0772,
        SCALEUNIT["parts per million",1E-06],
        ID["EPSG",8611]],
    OPERATIONACCURACY[0.5],
    USAGE[
        SCOPE["Transformation of coordinates at 0.5m level of accuracy."],
        AREA["Netherlands - onshore, including Waddenzee, Dutch Wadden Islands and 12-mile offshore coastal zone."],
        BBOX[50.75,3.2,53.7,7.22]],
    ID["EPSG",1751],
    REMARK["Replaced by Amersfoort to ETRS89 (3) (tfm code 15739). Dutch sources also quote an equivalent transformation using the Molodenski-Badekas 10-parameter method (M-B) - see tfm code 1066."]]

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=565.04 +y=49.91 +z=465.84 +rx=0.409394387439237 +ry=-0.359705195614311 +rz=1.86849100035057 +s=4.0772 +convention=coordinate_frame +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:1751","+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=565.04 +y=49.91 +z=465.84 +rx=0.409394387439237 +ry=-0.359705195614311 +rz=1.86849100035057 +s=4.0772 +convention=coordinate_frame +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": "Amersfoort to ETRS89 (1)",
    "source_crs": {
        "type": "GeographicCRS",
        "name": "Amersfoort",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "Amersfoort",
            "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": 4289
        }
    },
    "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": "Coordinate Frame rotation (geog2D domain)",
        "id": {
            "authority": "EPSG",
            "code": 9607
        }
    },
    "parameters": [
        {
            "name": "X-axis translation",
            "value": 565.04,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8605
            }
        },
        {
            "name": "Y-axis translation",
            "value": 49.91,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8606
            }
        },
        {
            "name": "Z-axis translation",
            "value": 465.84,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8607
            }
        },
        {
            "name": "X-axis rotation",
            "value": 1.9848,
            "unit": {
                "type": "AngularUnit",
                "name": "microradian",
                "conversion_factor": 1e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8608
            }
        },
        {
            "name": "Y-axis rotation",
            "value": -1.7439,
            "unit": {
                "type": "AngularUnit",
                "name": "microradian",
                "conversion_factor": 1e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8609
            }
        },
        {
            "name": "Z-axis rotation",
            "value": 9.0587,
            "unit": {
                "type": "AngularUnit",
                "name": "microradian",
                "conversion_factor": 1e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8610
            }
        },
        {
            "name": "Scale difference",
            "value": 4.0772,
            "unit": {
                "type": "ScaleUnit",
                "name": "parts per million",
                "conversion_factor": 1e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8611
            }
        }
    ],
    "accuracy": "0.5",
    "scope": "Transformation of coordinates at 0.5m level of accuracy.",
    "area": "Netherlands - onshore, including Waddenzee, Dutch Wadden Islands and 12-mile offshore coastal zone.",
    "bbox": {
        "south_latitude": 50.75,
        "west_longitude": 3.2,
        "north_latitude": 53.7,
        "east_longitude": 7.22
    },
    "id": {
        "authority": "EPSG",
        "code": 1751
    },
    "remarks": "Replaced by Amersfoort to ETRS89 (3) (tfm code 15739). Dutch sources also quote an equivalent transformation using the Molodenski-Badekas 10-parameter method (M-B) - see tfm code 1066."
}

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=565.04"
	"y=49.91"
	"z=465.84"
	"rx=0.409394387439237"
	"ry=-0.359705195614311"
	"rz=1.86849100035057"
	"s=4.0772"
	"convention=coordinate_frame"
	"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=565.04 +y=49.91 +z=465.84 +rx=0.409394387439237 +ry=-0.359705195614311 +rz=1.86849100035057 +s=4.0772 +convention=coordinate_frame +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=565.04 +y=49.91 +z=465.84 +rx=0.409394387439237 +ry=-0.359705195614311 +rz=1.86849100035057 +s=4.0772 +convention=coordinate_frame +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 ( 1751, 'EPSG', 1751, '+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=565.04 +y=49.91 +z=465.84 +rx=0.409394387439237 +ry=-0.359705195614311 +rz=1.86849100035057 +s=4.0772 +convention=coordinate_frame +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');