EPSG:7946

ITRF93 to ETRF2000 (1)

MapTiler banner

Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["ITRF93 to ETRF2000 (1)",
    VERSION["EUREF-Eur 2000"],
    SOURCECRS[
        GEODCRS["ITRF93",
            DYNAMIC[
                FRAMEEPOCH[1993]],
            DATUM["International Terrestrial Reference Frame 1993",
                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",4915]]],
    TARGETCRS[
        GEODCRS["ETRF2000",
            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",76.1,
        LENGTHUNIT["millimetre",0.001],
        ID["EPSG",8605]],
    PARAMETER["Y-axis translation",46.9,
        LENGTHUNIT["millimetre",0.001],
        ID["EPSG",8606]],
    PARAMETER["Z-axis translation",-19.9,
        LENGTHUNIT["millimetre",0.001],
        ID["EPSG",8607]],
    PARAMETER["X-axis rotation",2.601,
        ANGLEUNIT["milliarc-second",4.84813681109536E-09],
        ID["EPSG",8608]],
    PARAMETER["Y-axis rotation",6.87,
        ANGLEUNIT["milliarc-second",4.84813681109536E-09],
        ID["EPSG",8609]],
    PARAMETER["Z-axis rotation",-8.412,
        ANGLEUNIT["milliarc-second",4.84813681109536E-09],
        ID["EPSG",8610]],
    PARAMETER["Scale difference",-2.07,
        SCALEUNIT["parts per billion",1E-09],
        ID["EPSG",8611]],
    PARAMETER["Rate of change of X-axis translation",2.9,
        LENGTHUNIT["millimetres per year",3.16887651727315E-11],
        ID["EPSG",1040]],
    PARAMETER["Rate of change of Y-axis translation",0.2,
        LENGTHUNIT["millimetres per year",3.16887651727315E-11],
        ID["EPSG",1041]],
    PARAMETER["Rate of change of Z-axis translation",0.6,
        LENGTHUNIT["millimetres per year",3.16887651727315E-11],
        ID["EPSG",1042]],
    PARAMETER["Rate of change of X-axis rotation",0.191,
        ANGLEUNIT["milliarc-seconds per year",1.53631468932076E-16],
        ID["EPSG",1043]],
    PARAMETER["Rate of change of Y-axis rotation",0.68,
        ANGLEUNIT["milliarc-seconds per year",1.53631468932076E-16],
        ID["EPSG",1044]],
    PARAMETER["Rate of change of Z-axis rotation",-0.862,
        ANGLEUNIT["milliarc-seconds per year",1.53631468932076E-16],
        ID["EPSG",1045]],
    PARAMETER["Rate of change of Scale difference",-0.01,
        SCALEUNIT["parts per billion per year",3.16887651727315E-17],
        ID["EPSG",1046]],
    PARAMETER["Parameter reference epoch",2000,
        TIMEUNIT["year",31556925.445],
        ID["EPSG",1047]],
    OPERATIONACCURACY[0.0],
    USAGE[
        SCOPE["Geodesy."],
        AREA["Europe - onshore and offshore: Albania; Andorra; Austria; Belgium; Bosnia and Herzegovina; Bulgaria; Croatia; Cyprus; Czechia; Denmark; Estonia; Faroe Islands; Finland; France; Germany; Gibraltar; Greece; Hungary; Ireland; Italy; Kosovo; Latvia; Liechtenstein; Lithuania; Luxembourg; Malta; Moldova; Monaco; Montenegro; Netherlands; North Macedonia; Norway including Svalbard and Jan Mayen; Poland; Portugal; Romania; San Marino; Serbia; Slovakia; Slovenia; Spain; Sweden; Switzerland; United Kingdom (UK) including Channel Islands and Isle of Man; Vatican City State."],
        BBOX[32.88,-16.1,84.73,40.18]],
    ID["EPSG",7946],
    REMARK["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=0.0761 +y=0.0469 +z=-0.0199 +rx=0.002601 +ry=0.00687 +rz=-0.008412 +s=-0.00207 +dx=0.0029 +dy=0.0002 +dz=0.0006 +drx=0.000191 +dry=0.00068 +drz=-0.000862 +ds=-1e-05 +t_epoch=2000 +convention=position_vector

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:7946","+proj=helmert +x=0.0761 +y=0.0469 +z=-0.0199 +rx=0.002601 +ry=0.00687 +rz=-0.008412 +s=-0.00207 +dx=0.0029 +dy=0.0002 +dz=0.0006 +drx=0.000191 +dry=0.00068 +drz=-0.000862 +ds=-1e-05 +t_epoch=2000 +convention=position_vector");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.5/projjson.schema.json",
    "type": "Transformation",
    "name": "ITRF93 to ETRF2000 (1)",
    "source_crs": {
        "type": "GeodeticCRS",
        "name": "ITRF93",
        "datum": {
            "type": "DynamicGeodeticReferenceFrame",
            "name": "International Terrestrial Reference Frame 1993",
            "frame_reference_epoch": 1993,
            "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": 4915
        }
    },
    "target_crs": {
        "type": "GeodeticCRS",
        "name": "ETRF2000",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "European Terrestrial Reference Frame 2000",
            "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
        }
    },
    "method": {
        "name": "Time-dependent Position Vector tfm (geocentric)",
        "id": {
            "authority": "EPSG",
            "code": 1053
        }
    },
    "parameters": [
        {
            "name": "X-axis translation",
            "value": 76.1,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetre",
                "conversion_factor": 0.001
            },
            "id": {
                "authority": "EPSG",
                "code": 8605
            }
        },
        {
            "name": "Y-axis translation",
            "value": 46.9,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetre",
                "conversion_factor": 0.001
            },
            "id": {
                "authority": "EPSG",
                "code": 8606
            }
        },
        {
            "name": "Z-axis translation",
            "value": -19.9,
            "unit": {
                "type": "LinearUnit",
                "name": "millimetre",
                "conversion_factor": 0.001
            },
            "id": {
                "authority": "EPSG",
                "code": 8607
            }
        },
        {
            "name": "X-axis rotation",
            "value": 2.601,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-second",
                "conversion_factor": 4.84813681109536e-09
            },
            "id": {
                "authority": "EPSG",
                "code": 8608
            }
        },
        {
            "name": "Y-axis rotation",
            "value": 6.87,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-second",
                "conversion_factor": 4.84813681109536e-09
            },
            "id": {
                "authority": "EPSG",
                "code": 8609
            }
        },
        {
            "name": "Z-axis rotation",
            "value": -8.412,
            "unit": {
                "type": "AngularUnit",
                "name": "milliarc-second",
                "conversion_factor": 4.84813681109536e-09
            },
            "id": {
                "authority": "EPSG",
                "code": 8610
            }
        },
        {
            "name": "Scale difference",
            "value": -2.07,
            "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": 2.9,
            "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": 0.2,
            "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": 0.6,
            "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": 0.191,
            "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": 0.68,
            "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": -0.862,
            "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": -0.01,
            "unit": {
                "type": "ScaleUnit",
                "name": "parts per billion per year",
                "conversion_factor": 3.16887651727315e-17
            },
            "id": {
                "authority": "EPSG",
                "code": 1046
            }
        },
        {
            "name": "Parameter reference epoch",
            "value": 2000,
            "unit": {
                "type": "TimeUnit",
                "name": "year",
                "conversion_factor": 31556925.445
            },
            "id": {
                "authority": "EPSG",
                "code": 1047
            }
        }
    ],
    "accuracy": "0.0",
    "scope": "Geodesy.",
    "area": "Europe - onshore and offshore: Albania; Andorra; Austria; Belgium; Bosnia and Herzegovina; Bulgaria; Croatia; Cyprus; Czechia; Denmark; Estonia; Faroe Islands; Finland; France; Germany; Gibraltar; Greece; Hungary; Ireland; Italy; Kosovo; Latvia; Liechtenstein; Lithuania; Luxembourg; Malta; Moldova; Monaco; Montenegro; Netherlands; North Macedonia; Norway including Svalbard and Jan Mayen; Poland; Portugal; Romania; San Marino; Serbia; Slovakia; Slovenia; Spain; Sweden; Switzerland; United Kingdom (UK) including Channel Islands and Isle of Man; Vatican City State.",
    "bbox": {
        "south_latitude": 32.88,
        "west_longitude": -16.1,
        "north_latitude": 84.73,
        "east_longitude": 40.18
    },
    "id": {
        "authority": "EPSG",
        "code": 7946
    },
    "remarks": "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=0.0761"
	"y=0.0469"
	"z=-0.0199"
	"rx=0.002601"
	"ry=0.00687"
	"rz=-0.008412"
	"s=-0.00207"
	"dx=0.0029"
	"dy=0.0002"
	"dz=0.0006"
	"drx=0.000191"
	"dry=0.00068"
	"drz=-0.000862"
	"ds=-1e-05"
	"t_epoch=2000"
	"convention=position_vector"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=helmert +x=0.0761 +y=0.0469 +z=-0.0199 +rx=0.002601 +ry=0.00687 +rz=-0.008412 +s=-0.00207 +dx=0.0029 +dy=0.0002 +dz=0.0006 +drx=0.000191 +dry=0.00068 +drz=-0.000862 +ds=-1e-05 +t_epoch=2000 +convention=position_vector">
	<Layer srs="+proj=helmert +x=0.0761 +y=0.0469 +z=-0.0199 +rx=0.002601 +ry=0.00687 +rz=-0.008412 +s=-0.00207 +dx=0.0029 +dy=0.0002 +dz=0.0006 +drx=0.000191 +dry=0.00068 +drz=-0.000862 +ds=-1e-05 +t_epoch=2000 +convention=position_vector">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 7946, 'EPSG', 7946, '+proj=helmert +x=0.0761 +y=0.0469 +z=-0.0199 +rx=0.002601 +ry=0.00687 +rz=-0.008412 +s=-0.00207 +dx=0.0029 +dy=0.0002 +dz=0.0006 +drx=0.000191 +dry=0.00068 +drz=-0.000862 +ds=-1e-05 +t_epoch=2000 +convention=position_vector', 'None');