EPSG:8405

ITRF2014 to ETRF2000 (1)

Attributes

Geodetic CRS: ITRF2014

Datum: International Terrestrial Reference Frame 2014

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, November 16, 2017.

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 ITRF2014 to ITRF2000 (1) (CT code 8078) reversed and converted to epoch 2010 concatenated with ITRF2000 to ETRF2000 (1) (CT code 7941) converted to epoch 2010.

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["ITRF2014 to ETRF2000 (1)",
    VERSION["EUREF-Eur 2000"],
    SOURCECRS[
        GEODCRS["ITRF2014",
            DYNAMIC[
                FRAMEEPOCH[2010]],
            DATUM["International Terrestrial Reference Frame 2014",
                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",7789]]],
    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",54.7,
        LENGTHUNIT["millimetre",0.001],
        ID["EPSG",8605]],
    PARAMETER["Y-axis translation",52.2,
        LENGTHUNIT["millimetre",0.001],
        ID["EPSG",8606]],
    PARAMETER["Z-axis translation",-74.1,
        LENGTHUNIT["millimetre",0.001],
        ID["EPSG",8607]],
    PARAMETER["X-axis rotation",1.701,
        ANGLEUNIT["milliarc-second",4.84813681109536E-09],
        ID["EPSG",8608]],
    PARAMETER["Y-axis rotation",10.29,
        ANGLEUNIT["milliarc-second",4.84813681109536E-09],
        ID["EPSG",8609]],
    PARAMETER["Z-axis rotation",-16.632,
        ANGLEUNIT["milliarc-second",4.84813681109536E-09],
        ID["EPSG",8610]],
    PARAMETER["Scale difference",2.12,
        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",0.1,
        LENGTHUNIT["millimetres per year",3.16887651727315E-11],
        ID["EPSG",1041]],
    PARAMETER["Rate of change of Z-axis translation",-1.9,
        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",2010,
        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",8405],
    REMARK["Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m. Equivalent to ITRF2014 to ITRF2000 (1) (CT code 8078) reversed and converted to epoch 2010 concatenated with ITRF2000 to ETRF2000 (1) (CT code 7941) converted to epoch 2010."]]

Definition: PROJ.4

+proj=helmert +x=0.0547 +y=0.0522 +z=-0.0741 +rx=0.001701 +ry=0.01029 +rz=-0.016632 +s=0.00212 +dx=0.0001 +dy=0.0001 +dz=-0.0019 +drx=8.1e-05 +dry=0.00049 +drz=-0.000792 +ds=0.00011 +t_epoch=2010 +convention=position_vector

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:8405","+proj=helmert +x=0.0547 +y=0.0522 +z=-0.0741 +rx=0.001701 +ry=0.01029 +rz=-0.016632 +s=0.00212 +dx=0.0001 +dy=0.0001 +dz=-0.0019 +drx=8.1e-05 +dry=0.00049 +drz=-0.000792 +ds=0.00011 +t_epoch=2010 +convention=position_vector");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json",
    "type": "Transformation",
    "name": "ITRF2014 to ETRF2000 (1)",
    "source_crs": {
        "type": "GeodeticCRS",
        "name": "ITRF2014",
        "datum": {
            "type": "DynamicGeodeticReferenceFrame",
            "name": "International Terrestrial Reference Frame 2014",
            "frame_reference_epoch": 2010,
            "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": 7789
        },
        "remarks": "Replaces ITRF2008 (CRS code 5332). Replaced by ITRF2020 (CRS code 9988)."
    },
    "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": 54.7,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetre",
                "conversion_factor": 0.001
            },
            "id": {
                "authority": "EPSG",
                "code": 8605
            }
        },
        {
            "name": "Y-axis translation",
            "value": 52.2,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetre",
                "conversion_factor": 0.001
            },
            "id": {
                "authority": "EPSG",
                "code": 8606
            }
        },
        {
            "name": "Z-axis translation",
            "value": -74.1,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetre",
                "conversion_factor": 0.001
            },
            "id": {
                "authority": "EPSG",
                "code": 8607
            }
        },
        {
            "name": "X-axis rotation",
            "value": 1.701,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-second",
                "conversion_factor": 4.84813681109536e-09
            },
            "id": {
                "authority": "EPSG",
                "code": 8608
            }
        },
        {
            "name": "Y-axis rotation",
            "value": 10.29,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-second",
                "conversion_factor": 4.84813681109536e-09
            },
            "id": {
                "authority": "EPSG",
                "code": 8609
            }
        },
        {
            "name": "Z-axis rotation",
            "value": -16.632,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-second",
                "conversion_factor": 4.84813681109536e-09
            },
            "id": {
                "authority": "EPSG",
                "code": 8610
            }
        },
        {
            "name": "Scale difference",
            "value": 2.12,
            "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": 0.1,
            "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": -1.9,
            "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": 2010,
            "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": 8405
    },
    "remarks": "Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m. Equivalent to ITRF2014 to ITRF2000 (1) (CT code 8078) reversed and converted to epoch 2010 concatenated with ITRF2000 to ETRF2000 (1) (CT code 7941) converted to epoch 2010."
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=helmert"
	"x=0.0547"
	"y=0.0522"
	"z=-0.0741"
	"rx=0.001701"
	"ry=0.01029"
	"rz=-0.016632"
	"s=0.00212"
	"dx=0.0001"
	"dy=0.0001"
	"dz=-0.0019"
	"drx=8.1e-05"
	"dry=0.00049"
	"drz=-0.000792"
	"ds=0.00011"
	"t_epoch=2010"
	"convention=position_vector"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=helmert +x=0.0547 +y=0.0522 +z=-0.0741 +rx=0.001701 +ry=0.01029 +rz=-0.016632 +s=0.00212 +dx=0.0001 +dy=0.0001 +dz=-0.0019 +drx=8.1e-05 +dry=0.00049 +drz=-0.000792 +ds=0.00011 +t_epoch=2010 +convention=position_vector">
	<Layer srs="+proj=helmert +x=0.0547 +y=0.0522 +z=-0.0741 +rx=0.001701 +ry=0.01029 +rz=-0.016632 +s=0.00212 +dx=0.0001 +dy=0.0001 +dz=-0.0019 +drx=8.1e-05 +dry=0.00049 +drz=-0.000792 +ds=0.00011 +t_epoch=2010 +convention=position_vector">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 8405, 'EPSG', 8405, '+proj=helmert +x=0.0547 +y=0.0522 +z=-0.0741 +rx=0.001701 +ry=0.01029 +rz=-0.016632 +s=0.00212 +dx=0.0001 +dy=0.0001 +dz=-0.0019 +drx=8.1e-05 +dry=0.00049 +drz=-0.000792 +ds=0.00011 +t_epoch=2010 +convention=position_vector', 'None');