EPSG:10586

ITRF2020 to ETRF2000 (1)

Attributes

Geodetic CRS: ITRF2020

Datum: International Terrestrial Reference Frame 2020

Ellipsoid: GRS 1980

Prime meridian: Greenwich

Data source: EPSG

Information source: EUREF Technical Note 1: Relationship and Transformation between the International and European Terrestrial Reference Systems, March 4th, 2024.

Revision date: 2025-10-17

Scope: Geodesy.

Remarks: Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m. Equivalent to ITRF2020 to ITRF2000 (1) (CT code 9994) converted to epoch 2015.0 concatenated with ITRF2000 to ETRF2000 (1) (CT code 7941) converted to epoch 2015.0.

Method: Time-dependent Position Vector tfm (geocentric)

Area of use: Europe - onshore and offshore - ETRF extent - approximately 16°W to 33°E and 33°N to 84°N.

Description: (0,)

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Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["ITRF2020 to ETRF2000 (1)",
    VERSION["EUREF-Eur 2024"],
    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["ETRF2000",
            DYNAMIC[
                FRAMEEPOCH[1989]],
            DATUM["European Terrestrial Reference Frame 2000",
                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",7930]]],
    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[0.01],
    USAGE[
        SCOPE["Geodesy."],
        AREA["Europe - onshore and offshore - ETRF extent - approximately 16°W to 33°E and 33°N to 84°N."],
        BBOX[33.26,-16.1,84.73,38.01]],
    ID["EPSG",10586],
    REMARK["Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m. Equivalent to ITRF2020 to ITRF2000 (1) (CT code 9994) converted to epoch 2015.0 concatenated with ITRF2000 to ETRF2000 (1) (CT code 7941) converted to epoch 2015.0."]]

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:10586","+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 ETRF2000 (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": "ETRF2000",
        "datum": {
            "type": "DynamicGeodeticReferenceFrame",
            "name": "European Terrestrial Reference Frame 2000",
            "frame_reference_epoch": 1989,
            "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": 7930
        },
        "remarks": "Replaces ETRF97 (code 7928). On the publication of ETRF2005 the EUREF Technical Working Group recommended ETRF2000 be the realization of ETRS89. ETRF2014 and ETRF2020 (codes 8401 and 10569) are technically superior to all earlier realizations of ETRS89."
    },
    "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": "0.01",
    "scope": "Geodesy.",
    "area": "Europe - onshore and offshore - ETRF extent - approximately 16°W to 33°E and 33°N to 84°N.",
    "bbox": {
        "south_latitude": 33.26,
        "west_longitude": -16.1,
        "north_latitude": 84.73,
        "east_longitude": 38.01
    },
    "id": {
        "authority": "EPSG",
        "code": 10586
    },
    "remarks": "Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m. Equivalent to ITRF2020 to ITRF2000 (1) (CT code 9994) converted to epoch 2015.0 concatenated with ITRF2000 to ETRF2000 (1) (CT code 7941) converted to epoch 2015.0."
}

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 ( 10586, 'EPSG', 10586, '+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');