EPSG:11217

ITRF2020 to ETRS89-BEL [BEREF2011] (1)

Attributes

Geodetic CRS: ITRF2020

Datum: International Terrestrial Reference Frame 2020

Ellipsoid: GRS 1980

Prime meridian: Greenwich

Data source: EPSG

Information source: IOGP

Revision date: 2025-10-17

Scope: Spatial referencing.

Remarks: Concatenation of ITRF2020 to ETRF2000 (1) (code 10586) with ETRS89-BEL [BEREF2011] to ETRF2000 (1) (code 11216) reversed. Accuracy is approximately 1cm at the ETRS89-BEL [BEREF2011] anchor epoch of 2011.763 but deteriorates with time due to tectonic deformation and/or glacial isostatic adjustment. Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m.

Method: Time-dependent Position Vector tfm (geocentric)

Area of use: Belgium - onshore and offshore.

Description: (0,)

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Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["ITRF2020 to ETRS89-BEL [BEREF2011] (1)",
    VERSION["IOGP-Bel 2011"],
    SOURCECRS[
        GEODCRS["ITRF2020",
            DYNAMIC[
                FRAMEEPOCH[2015]],
            DATUM["International Terrestrial Reference Frame 2020",
                ELLIPSOID["GRS 1980",6378137,298.257222101,
                    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",9988]]],
    TARGETCRS[
        GEODCRS["ETRS89-BEL [BEREF2011]",
            DATUM["Belgian Reference Frame 2011",
                ELLIPSOID["GRS 1980",6378137,298.257222101,
                    LENGTHUNIT["metre",1]],
                ANCHOREPOCH[2011.763]],
            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",11213]]],
    METHOD["Time-dependent Position Vector tfm (geocentric)",
        ID["EPSG",1053]],
    PARAMETER["X-axis translation",53.8,
        LENGTHUNIT["millimetre",0.001],
        ID["EPSG",8605]],
    PARAMETER["Y-axis translation",51.8,
        LENGTHUNIT["millimetre",0.001],
        ID["EPSG",8606]],
    PARAMETER["Z-axis translation",-82.2,
        LENGTHUNIT["millimetre",0.001],
        ID["EPSG",8607]],
    PARAMETER["X-axis rotation",2.106,
        ANGLEUNIT["milliarc-second",4.84813681109536E-09],
        ID["EPSG",8608]],
    PARAMETER["Y-axis rotation",12.74,
        ANGLEUNIT["milliarc-second",4.84813681109536E-09],
        ID["EPSG",8609]],
    PARAMETER["Z-axis rotation",-20.592,
        ANGLEUNIT["milliarc-second",4.84813681109536E-09],
        ID["EPSG",8610]],
    PARAMETER["Scale difference",2.25,
        SCALEUNIT["parts per billion",1E-09],
        ID["EPSG",8611]],
    PARAMETER["Rate of change of X-axis translation",0.1,
        LENGTHUNIT["millimetres per year",3.16887651727315E-11],
        ID["EPSG",1040]],
    PARAMETER["Rate of change of Y-axis translation",0,
        LENGTHUNIT["millimetres per year",3.16887651727315E-11],
        ID["EPSG",1041]],
    PARAMETER["Rate of change of Z-axis translation",-1.7,
        LENGTHUNIT["millimetres per year",3.16887651727315E-11],
        ID["EPSG",1042]],
    PARAMETER["Rate of change of X-axis rotation",0.081,
        ANGLEUNIT["milliarc-seconds per year",1.53631468932076E-16],
        ID["EPSG",1043]],
    PARAMETER["Rate of change of Y-axis rotation",0.49,
        ANGLEUNIT["milliarc-seconds per year",1.53631468932076E-16],
        ID["EPSG",1044]],
    PARAMETER["Rate of change of Z-axis rotation",-0.792,
        ANGLEUNIT["milliarc-seconds per year",1.53631468932076E-16],
        ID["EPSG",1045]],
    PARAMETER["Rate of change of Scale difference",0.11,
        SCALEUNIT["parts per billion per year",3.16887651727315E-17],
        ID["EPSG",1046]],
    PARAMETER["Parameter reference epoch",2015,
        TIMEUNIT["year",31556925.445],
        ID["EPSG",1047]],
    OPERATIONACCURACY[0.1],
    USAGE[
        SCOPE["Spatial referencing."],
        AREA["Belgium - onshore and offshore."],
        BBOX[49.5,2.23,51.88,6.4]],
    ID["EPSG",11217],
    REMARK["Concatenation of ITRF2020 to ETRF2000 (1) (code 10586) with ETRS89-BEL [BEREF2011] to ETRF2000 (1) (code 11216) reversed. Accuracy is approximately 1cm at the ETRS89-BEL [BEREF2011] anchor epoch of 2011.763 but deteriorates with time due to tectonic deformation and/or glacial isostatic adjustment. Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m."]]

Definition: PROJ.4

+proj=helmert +x=0.0538 +y=0.0518 +z=-0.0822 +rx=0.002106 +ry=0.01274 +rz=-0.020592 +s=0.00225 +dx=0.0001 +dy=0 +dz=-0.0017 +drx=8.1e-05 +dry=0.00049 +drz=-0.000792 +ds=0.00011 +t_epoch=2015 +convention=position_vector

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:11217","+proj=helmert +x=0.0538 +y=0.0518 +z=-0.0822 +rx=0.002106 +ry=0.01274 +rz=-0.020592 +s=0.00225 +dx=0.0001 +dy=0 +dz=-0.0017 +drx=8.1e-05 +dry=0.00049 +drz=-0.000792 +ds=0.00011 +t_epoch=2015 +convention=position_vector");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json",
    "type": "Transformation",
    "name": "ITRF2020 to ETRS89-BEL [BEREF2011] (1)",
    "source_crs": {
        "type": "GeodeticCRS",
        "name": "ITRF2020",
        "datum": {
            "type": "DynamicGeodeticReferenceFrame",
            "name": "International Terrestrial Reference Frame 2020",
            "frame_reference_epoch": 2015,
            "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": 9988
        },
        "remarks": "Replaces ITRF2014 (CRS code 7789). Replaced by ITRF2020-u2023 (CRS code 10779)."
    },
    "target_crs": {
        "type": "GeodeticCRS",
        "name": "ETRS89-BEL [BEREF2011]",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "Belgian Reference Frame 2011",
            "anchor_epoch": 2011.763,
            "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": 11213
        },
        "remarks": "Second national realization of ETRS89 in Belgium. Replaces BEREF2002 (CRS code 11061). Used by the Belgian Active GNSS Network consisting of the Flemish positioning system (FLEPOS), the Wallonia continuously operating reference system (WALCORS) and GPSBru in the Brussels region."
    },
    "method": {
        "name": "Time-dependent Position Vector tfm (geocentric)",
        "id": {
            "authority": "EPSG",
            "code": 1053
        }
    },
    "parameters": [
        {
            "name": "X-axis translation",
            "value": 53.8,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetre",
                "conversion_factor": 0.001
            },
            "id": {
                "authority": "EPSG",
                "code": 8605
            }
        },
        {
            "name": "Y-axis translation",
            "value": 51.8,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetre",
                "conversion_factor": 0.001
            },
            "id": {
                "authority": "EPSG",
                "code": 8606
            }
        },
        {
            "name": "Z-axis translation",
            "value": -82.2,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetre",
                "conversion_factor": 0.001
            },
            "id": {
                "authority": "EPSG",
                "code": 8607
            }
        },
        {
            "name": "X-axis rotation",
            "value": 2.106,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-second",
                "conversion_factor": 4.84813681109536e-09
            },
            "id": {
                "authority": "EPSG",
                "code": 8608
            }
        },
        {
            "name": "Y-axis rotation",
            "value": 12.74,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-second",
                "conversion_factor": 4.84813681109536e-09
            },
            "id": {
                "authority": "EPSG",
                "code": 8609
            }
        },
        {
            "name": "Z-axis rotation",
            "value": -20.592,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-second",
                "conversion_factor": 4.84813681109536e-09
            },
            "id": {
                "authority": "EPSG",
                "code": 8610
            }
        },
        {
            "name": "Scale difference",
            "value": 2.25,
            "unit": {
                "type": "ScaleUnit",
                "name": "parts per billion",
                "conversion_factor": 1e-09
            },
            "id": {
                "authority": "EPSG",
                "code": 8611
            }
        },
        {
            "name": "Rate of change of X-axis translation",
            "value": 0.1,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetres per year",
                "conversion_factor": 3.16887651727315e-11
            },
            "id": {
                "authority": "EPSG",
                "code": 1040
            }
        },
        {
            "name": "Rate of change of Y-axis translation",
            "value": 0,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetres per year",
                "conversion_factor": 3.16887651727315e-11
            },
            "id": {
                "authority": "EPSG",
                "code": 1041
            }
        },
        {
            "name": "Rate of change of Z-axis translation",
            "value": -1.7,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetres per year",
                "conversion_factor": 3.16887651727315e-11
            },
            "id": {
                "authority": "EPSG",
                "code": 1042
            }
        },
        {
            "name": "Rate of change of X-axis rotation",
            "value": 0.081,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-seconds per year",
                "conversion_factor": 1.53631468932076e-16
            },
            "id": {
                "authority": "EPSG",
                "code": 1043
            }
        },
        {
            "name": "Rate of change of Y-axis rotation",
            "value": 0.49,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-seconds per year",
                "conversion_factor": 1.53631468932076e-16
            },
            "id": {
                "authority": "EPSG",
                "code": 1044
            }
        },
        {
            "name": "Rate of change of Z-axis rotation",
            "value": -0.792,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-seconds per year",
                "conversion_factor": 1.53631468932076e-16
            },
            "id": {
                "authority": "EPSG",
                "code": 1045
            }
        },
        {
            "name": "Rate of change of Scale difference",
            "value": 0.11,
            "unit": {
                "type": "ScaleUnit",
                "name": "parts per billion per year",
                "conversion_factor": 3.16887651727315e-17
            },
            "id": {
                "authority": "EPSG",
                "code": 1046
            }
        },
        {
            "name": "Parameter reference epoch",
            "value": 2015,
            "unit": {
                "type": "TimeUnit",
                "name": "year",
                "conversion_factor": 31556925.445
            },
            "id": {
                "authority": "EPSG",
                "code": 1047
            }
        }
    ],
    "accuracy": "0.1",
    "scope": "Spatial referencing.",
    "area": "Belgium - onshore and offshore.",
    "bbox": {
        "south_latitude": 49.5,
        "west_longitude": 2.23,
        "north_latitude": 51.88,
        "east_longitude": 6.4
    },
    "id": {
        "authority": "EPSG",
        "code": 11217
    },
    "remarks": "Concatenation of ITRF2020 to ETRF2000 (1) (code 10586) with ETRS89-BEL [BEREF2011] to ETRF2000 (1) (code 11216) reversed. Accuracy is approximately 1cm at the ETRS89-BEL [BEREF2011] anchor epoch of 2011.763 but deteriorates with time due to tectonic deformation and/or glacial isostatic adjustment. Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m."
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=helmert"
	"x=0.0538"
	"y=0.0518"
	"z=-0.0822"
	"rx=0.002106"
	"ry=0.01274"
	"rz=-0.020592"
	"s=0.00225"
	"dx=0.0001"
	"dy=0"
	"dz=-0.0017"
	"drx=8.1e-05"
	"dry=0.00049"
	"drz=-0.000792"
	"ds=0.00011"
	"t_epoch=2015"
	"convention=position_vector"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=helmert +x=0.0538 +y=0.0518 +z=-0.0822 +rx=0.002106 +ry=0.01274 +rz=-0.020592 +s=0.00225 +dx=0.0001 +dy=0 +dz=-0.0017 +drx=8.1e-05 +dry=0.00049 +drz=-0.000792 +ds=0.00011 +t_epoch=2015 +convention=position_vector">
	<Layer srs="+proj=helmert +x=0.0538 +y=0.0518 +z=-0.0822 +rx=0.002106 +ry=0.01274 +rz=-0.020592 +s=0.00225 +dx=0.0001 +dy=0 +dz=-0.0017 +drx=8.1e-05 +dry=0.00049 +drz=-0.000792 +ds=0.00011 +t_epoch=2015 +convention=position_vector">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 11217, 'EPSG', 11217, '+proj=helmert +x=0.0538 +y=0.0518 +z=-0.0822 +rx=0.002106 +ry=0.01274 +rz=-0.020592 +s=0.00225 +dx=0.0001 +dy=0 +dz=-0.0017 +drx=8.1e-05 +dry=0.00049 +drz=-0.000792 +ds=0.00011 +t_epoch=2015 +convention=position_vector', 'None');