EPSG:11540

LUREF to ETRS89-LUX [2020] (7)

Attributes

Geodetic CRS: LUREF

Datum: Luxembourg Reference Frame

Ellipsoid: International 1924

Prime meridian: Greenwich

Data source: EPSG

Information source: Administration du Cadastre et de la Topographie (ACT), https://act.public.lu

Revision date: 2026-07-21

Scope: Geodesy. Defines LUREF from 2021 to 2026.

Remarks: LUREF 2020 parameters. For an equivalent CT using the Coordinate Frame method see CT 11541. Defines LUREF from 2021-10-31 to 2026-10-31. Replaces LUREF 2014 parameters (CT 9898). Replaced by LUREF 2025 parameters (CT 11551). Info source gives this CT in reverse direction.

Method: Molodensky-Badekas (CF geocentric domain)

Area of use: Luxembourg.

Description: (0,)

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Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["LUREF to ETRS89-LUX [2020] (7)",
    VERSION["ACT-Lux MB 2020"],
    SOURCECRS[
        GEODCRS["LUREF",
            DATUM["Luxembourg Reference Frame",
                ELLIPSOID["International 1924",6378388,297,
                    LENGTHUNIT["metre",1]]],
            PRIMEM["Greenwich",0,
                ANGLEUNIT["degree",0.0174532925199433]],
            CS[Cartesian,3],
                AXIS["(X)",geocentricX,
                    ORDER[1],
                    LENGTHUNIT["metre",1]],
                AXIS["(Y)",geocentricY,
                    ORDER[2],
                    LENGTHUNIT["metre",1]],
                AXIS["(Z)",geocentricZ,
                    ORDER[3],
                    LENGTHUNIT["metre",1]],
            ID["EPSG",9892]]],
    TARGETCRS[
        GEODCRS["ETRS89-LUX [2020]",
            DATUM["ETRS89-LUX [2020]",
                ELLIPSOID["GRS 1980",6378137,298.257222101,
                    LENGTHUNIT["metre",1]],
                ANCHOREPOCH[2020.82]],
            PRIMEM["Greenwich",0,
                ANGLEUNIT["degree",0.0174532925199433]],
            CS[Cartesian,3],
                AXIS["(X)",geocentricX,
                    ORDER[1],
                    LENGTHUNIT["metre",1]],
                AXIS["(Y)",geocentricY,
                    ORDER[2],
                    LENGTHUNIT["metre",1]],
                AXIS["(Z)",geocentricZ,
                    ORDER[3],
                    LENGTHUNIT["metre",1]],
            ID["EPSG",11391]]],
    METHOD["Molodensky-Badekas (CF geocentric domain)",
        ID["EPSG",1034]],
    PARAMETER["X-axis translation",-265.9196,
        LENGTHUNIT["metre",1],
        ID["EPSG",8605]],
    PARAMETER["Y-axis translation",76.9506,
        LENGTHUNIT["metre",1],
        ID["EPSG",8606]],
    PARAMETER["Z-axis translation",20.2222,
        LENGTHUNIT["metre",1],
        ID["EPSG",8607]],
    PARAMETER["X-axis rotation",0.48171,
        ANGLEUNIT["arc-second",4.84813681109536E-06],
        ID["EPSG",8608]],
    PARAMETER["Y-axis rotation",3.09948,
        ANGLEUNIT["arc-second",4.84813681109536E-06],
        ID["EPSG",8609]],
    PARAMETER["Z-axis rotation",-2.68639,
        ANGLEUNIT["arc-second",4.84813681109536E-06],
        ID["EPSG",8610]],
    PARAMETER["Scale difference",0.46346,
        SCALEUNIT["parts per million",1E-06],
        ID["EPSG",8611]],
    PARAMETER["Ordinate 1 of evaluation point",4101567.0943,
        LENGTHUNIT["metre",1],
        ID["EPSG",8617]],
    PARAMETER["Ordinate 2 of evaluation point",440245.0881,
        LENGTHUNIT["metre",1],
        ID["EPSG",8618]],
    PARAMETER["Ordinate 3 of evaluation point",4848681.4115,
        LENGTHUNIT["metre",1],
        ID["EPSG",8667]],
    OPERATIONACCURACY[0.0],
    USAGE[
        SCOPE["Geodesy. Defines LUREF from 2021 to 2026."],
        AREA["Luxembourg."],
        BBOX[49.44,5.73,50.19,6.53]],
    ID["EPSG",11540],
    REMARK["LUREF 2020 parameters. For an equivalent CT using the Coordinate Frame method see CT 11541. Defines LUREF from 2021-10-31 to 2026-10-31. Replaces LUREF 2014 parameters (CT 9898). Replaced by LUREF 2025 parameters (CT 11551). Info source gives this CT in reverse direction."]]

Definition: PROJ.4

+proj=molobadekas +x=-265.9196 +y=76.9506 +z=20.2222 +rx=0.48171 +ry=3.09948 +rz=-2.68639 +s=0.46346 +px=4101567.0943 +py=440245.0881 +pz=4848681.4115 +convention=coordinate_frame

Definition: JavaScript (Proj4js) 

proj4.defs("EPSG:11540","+proj=molobadekas +x=-265.9196 +y=76.9506 +z=20.2222 +rx=0.48171 +ry=3.09948 +rz=-2.68639 +s=0.46346 +px=4101567.0943 +py=440245.0881 +pz=4848681.4115 +convention=coordinate_frame");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json",
    "type": "Transformation",
    "name": "LUREF to ETRS89-LUX [2020] (7)",
    "source_crs": {
        "type": "GeodeticCRS",
        "name": "LUREF",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "Luxembourg Reference Frame",
            "ellipsoid": {
                "name": "International 1924",
                "semi_major_axis": 6378388,
                "inverse_flattening": 297
            }
        },
        "coordinate_system": {
            "subtype": "Cartesian",
            "axis": [
                {
                    "name": "Geocentric X",
                    "abbreviation": "X",
                    "direction": "geocentricX",
                    "unit": "metre"
                },
                {
                    "name": "Geocentric Y",
                    "abbreviation": "Y",
                    "direction": "geocentricY",
                    "unit": "metre"
                },
                {
                    "name": "Geocentric Z",
                    "abbreviation": "Z",
                    "direction": "geocentricZ",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 9892
        }
    },
    "target_crs": {
        "type": "GeodeticCRS",
        "name": "ETRS89-LUX [2020]",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "ETRS89-LUX [2020]",
            "anchor_epoch": 2020.82,
            "ellipsoid": {
                "name": "GRS 1980",
                "semi_major_axis": 6378137,
                "inverse_flattening": 298.257222101
            }
        },
        "coordinate_system": {
            "subtype": "Cartesian",
            "axis": [
                {
                    "name": "Geocentric X",
                    "abbreviation": "X",
                    "direction": "geocentricX",
                    "unit": "metre"
                },
                {
                    "name": "Geocentric Y",
                    "abbreviation": "Y",
                    "direction": "geocentricY",
                    "unit": "metre"
                },
                {
                    "name": "Geocentric Z",
                    "abbreviation": "Z",
                    "direction": "geocentricZ",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 11391
        },
        "remarks": "National realization of ETRS89 in Luxembourg. Replaces ETRS89-LUX [2013] from 2021-10-31. Replaced by ETRS89-LUX [2025] from 2026-10-31."
    },
    "method": {
        "name": "Molodensky-Badekas (CF geocentric domain)",
        "id": {
            "authority": "EPSG",
            "code": 1034
        }
    },
    "parameters": [
        {
            "name": "X-axis translation",
            "value": -265.9196,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8605
            }
        },
        {
            "name": "Y-axis translation",
            "value": 76.9506,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8606
            }
        },
        {
            "name": "Z-axis translation",
            "value": 20.2222,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8607
            }
        },
        {
            "name": "X-axis rotation",
            "value": 0.48171,
            "unit": {
                "type": "AngularUnit",
                "name": "arc-second",
                "conversion_factor": 4.84813681109536e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8608
            }
        },
        {
            "name": "Y-axis rotation",
            "value": 3.09948,
            "unit": {
                "type": "AngularUnit",
                "name": "arc-second",
                "conversion_factor": 4.84813681109536e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8609
            }
        },
        {
            "name": "Z-axis rotation",
            "value": -2.68639,
            "unit": {
                "type": "AngularUnit",
                "name": "arc-second",
                "conversion_factor": 4.84813681109536e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8610
            }
        },
        {
            "name": "Scale difference",
            "value": 0.46346,
            "unit": {
                "type": "ScaleUnit",
                "name": "parts per million",
                "conversion_factor": 1e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8611
            }
        },
        {
            "name": "Ordinate 1 of evaluation point",
            "value": 4101567.0943,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8617
            }
        },
        {
            "name": "Ordinate 2 of evaluation point",
            "value": 440245.0881,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8618
            }
        },
        {
            "name": "Ordinate 3 of evaluation point",
            "value": 4848681.4115,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8667
            }
        }
    ],
    "accuracy": "0.0",
    "scope": "Geodesy. Defines LUREF from 2021 to 2026.",
    "area": "Luxembourg.",
    "bbox": {
        "south_latitude": 49.44,
        "west_longitude": 5.73,
        "north_latitude": 50.19,
        "east_longitude": 6.53
    },
    "id": {
        "authority": "EPSG",
        "code": 11540
    },
    "remarks": "LUREF 2020 parameters. For an equivalent CT using the Coordinate Frame method see CT 11541. Defines LUREF from 2021-10-31 to 2026-10-31. Replaces LUREF 2014 parameters (CT 9898). Replaced by LUREF 2025 parameters (CT 11551). Info source gives this CT in reverse direction."
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=molobadekas"
	"x=-265.9196"
	"y=76.9506"
	"z=20.2222"
	"rx=0.48171"
	"ry=3.09948"
	"rz=-2.68639"
	"s=0.46346"
	"px=4101567.0943"
	"py=440245.0881"
	"pz=4848681.4115"
	"convention=coordinate_frame"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=molobadekas +x=-265.9196 +y=76.9506 +z=20.2222 +rx=0.48171 +ry=3.09948 +rz=-2.68639 +s=0.46346 +px=4101567.0943 +py=440245.0881 +pz=4848681.4115 +convention=coordinate_frame">
	<Layer srs="+proj=molobadekas +x=-265.9196 +y=76.9506 +z=20.2222 +rx=0.48171 +ry=3.09948 +rz=-2.68639 +s=0.46346 +px=4101567.0943 +py=440245.0881 +pz=4848681.4115 +convention=coordinate_frame">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 11540, 'EPSG', 11540, '+proj=molobadekas +x=-265.9196 +y=76.9506 +z=20.2222 +rx=0.48171 +ry=3.09948 +rz=-2.68639 +s=0.46346 +px=4101567.0943 +py=440245.0881 +pz=4848681.4115 +convention=coordinate_frame', 'None');