EPSG:8645 DEPRECATED

MGI (Ferro) to WGS 84 (2)

Attributes

Geodetic CRS: MGI (Ferro)

Datum: Militar-Geographische Institut (Ferro)

Ellipsoid: Bessel 1841

Prime meridian: Ferro

Data source: EPSG

Information source: Bundesamt fur Eich- und Vermessungswesen; Wien

Revision date: 2002-09-19

Steps of transformation: 1757 1618

Scope: Transformation of coordinates at 2m level of accuracy.

Area of use: Austria.

Description: (0,)

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Definition: PROJ.4

+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +inv +proj=longlat +ellps=bessel +pm=ferro +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=577.326 +y=90.129 +z=463.919 +rx=5.137 +ry=1.474 +rz=5.297 +s=2.4232 +convention=position_vector +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:8645","+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +inv +proj=longlat +ellps=bessel +pm=ferro +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=577.326 +y=90.129 +z=463.919 +rx=5.137 +ry=1.474 +rz=5.297 +s=2.4232 +convention=position_vector +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.4/projjson.schema.json",
    "type": "ConcatenatedOperation",
    "name": "MGI (Ferro) to WGS 84 (2)",
    "source_crs": {
        "type": "GeographicCRS",
        "name": "MGI (Ferro)",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "Militar-Geographische Institut (Ferro)",
            "ellipsoid": {
                "name": "Bessel 1841",
                "semi_major_axis": 6377397.155,
                "inverse_flattening": 299.1528128
            },
            "prime_meridian": {
                "name": "Ferro",
                "longitude": -17.6666666666667
            }
        },
        "coordinate_system": {
            "subtype": "ellipsoidal",
            "axis": [
                {
                    "name": "Geodetic latitude",
                    "abbreviation": "Lat",
                    "direction": "north",
                    "unit": "degree"
                },
                {
                    "name": "Geodetic longitude",
                    "abbreviation": "Lon",
                    "direction": "east",
                    "unit": "degree"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 4805
        }
    },
    "target_crs": {
        "type": "GeographicCRS",
        "name": "WGS 84",
        "datum_ensemble": {
            "name": "World Geodetic System 1984 ensemble",
            "members": [
                {
                    "name": "World Geodetic System 1984 (Transit)",
                    "id": {
                        "authority": "EPSG",
                        "code": 1166
                    }
                },
                {
                    "name": "World Geodetic System 1984 (G730)",
                    "id": {
                        "authority": "EPSG",
                        "code": 1152
                    }
                },
                {
                    "name": "World Geodetic System 1984 (G873)",
                    "id": {
                        "authority": "EPSG",
                        "code": 1153
                    }
                },
                {
                    "name": "World Geodetic System 1984 (G1150)",
                    "id": {
                        "authority": "EPSG",
                        "code": 1154
                    }
                },
                {
                    "name": "World Geodetic System 1984 (G1674)",
                    "id": {
                        "authority": "EPSG",
                        "code": 1155
                    }
                },
                {
                    "name": "World Geodetic System 1984 (G1762)",
                    "id": {
                        "authority": "EPSG",
                        "code": 1156
                    }
                },
                {
                    "name": "World Geodetic System 1984 (G2139)",
                    "id": {
                        "authority": "EPSG",
                        "code": 1309
                    }
                }
            ],
            "ellipsoid": {
                "name": "WGS 84",
                "semi_major_axis": 6378137,
                "inverse_flattening": 298.257223563
            },
            "accuracy": "2.0",
            "id": {
                "authority": "EPSG",
                "code": 6326
            }
        },
        "coordinate_system": {
            "subtype": "ellipsoidal",
            "axis": [
                {
                    "name": "Geodetic latitude",
                    "abbreviation": "Lat",
                    "direction": "north",
                    "unit": "degree"
                },
                {
                    "name": "Geodetic longitude",
                    "abbreviation": "Lon",
                    "direction": "east",
                    "unit": "degree"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 4326
        }
    },
    "steps": [
        {
            "type": "Transformation",
            "name": "MGI (Ferro) to MGI (1)",
            "source_crs": {
                "type": "GeographicCRS",
                "name": "MGI (Ferro)",
                "datum": {
                    "type": "GeodeticReferenceFrame",
                    "name": "Militar-Geographische Institut (Ferro)",
                    "ellipsoid": {
                        "name": "Bessel 1841",
                        "semi_major_axis": 6377397.155,
                        "inverse_flattening": 299.1528128
                    },
                    "prime_meridian": {
                        "name": "Ferro",
                        "longitude": -17.6666666666667
                    }
                },
                "coordinate_system": {
                    "subtype": "ellipsoidal",
                    "axis": [
                        {
                            "name": "Geodetic latitude",
                            "abbreviation": "Lat",
                            "direction": "north",
                            "unit": "degree"
                        },
                        {
                            "name": "Geodetic longitude",
                            "abbreviation": "Lon",
                            "direction": "east",
                            "unit": "degree"
                        }
                    ]
                },
                "id": {
                    "authority": "EPSG",
                    "code": 4805
                }
            },
            "target_crs": {
                "type": "GeographicCRS",
                "name": "MGI",
                "datum": {
                    "type": "GeodeticReferenceFrame",
                    "name": "Militar-Geographische Institut",
                    "ellipsoid": {
                        "name": "Bessel 1841",
                        "semi_major_axis": 6377397.155,
                        "inverse_flattening": 299.1528128
                    }
                },
                "coordinate_system": {
                    "subtype": "ellipsoidal",
                    "axis": [
                        {
                            "name": "Geodetic latitude",
                            "abbreviation": "Lat",
                            "direction": "north",
                            "unit": "degree"
                        },
                        {
                            "name": "Geodetic longitude",
                            "abbreviation": "Lon",
                            "direction": "east",
                            "unit": "degree"
                        }
                    ]
                },
                "id": {
                    "authority": "EPSG",
                    "code": 4312
                }
            },
            "method": {
                "name": "Longitude rotation",
                "id": {
                    "authority": "EPSG",
                    "code": 9601
                }
            },
            "parameters": [
                {
                    "name": "Longitude offset",
                    "value": -17.6666666666667,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8602
                    }
                }
            ],
            "accuracy": "0.0",
            "id": {
                "authority": "EPSG",
                "code": 1757
            }
        },
        {
            "type": "Transformation",
            "name": "MGI to WGS 84 (3)",
            "source_crs": {
                "type": "GeographicCRS",
                "name": "MGI",
                "datum": {
                    "type": "GeodeticReferenceFrame",
                    "name": "Militar-Geographische Institut",
                    "ellipsoid": {
                        "name": "Bessel 1841",
                        "semi_major_axis": 6377397.155,
                        "inverse_flattening": 299.1528128
                    }
                },
                "coordinate_system": {
                    "subtype": "ellipsoidal",
                    "axis": [
                        {
                            "name": "Geodetic latitude",
                            "abbreviation": "Lat",
                            "direction": "north",
                            "unit": "degree"
                        },
                        {
                            "name": "Geodetic longitude",
                            "abbreviation": "Lon",
                            "direction": "east",
                            "unit": "degree"
                        }
                    ]
                },
                "id": {
                    "authority": "EPSG",
                    "code": 4312
                }
            },
            "target_crs": {
                "type": "GeographicCRS",
                "name": "WGS 84",
                "datum_ensemble": {
                    "name": "World Geodetic System 1984 ensemble",
                    "members": [
                        {
                            "name": "World Geodetic System 1984 (Transit)",
                            "id": {
                                "authority": "EPSG",
                                "code": 1166
                            }
                        },
                        {
                            "name": "World Geodetic System 1984 (G730)",
                            "id": {
                                "authority": "EPSG",
                                "code": 1152
                            }
                        },
                        {
                            "name": "World Geodetic System 1984 (G873)",
                            "id": {
                                "authority": "EPSG",
                                "code": 1153
                            }
                        },
                        {
                            "name": "World Geodetic System 1984 (G1150)",
                            "id": {
                                "authority": "EPSG",
                                "code": 1154
                            }
                        },
                        {
                            "name": "World Geodetic System 1984 (G1674)",
                            "id": {
                                "authority": "EPSG",
                                "code": 1155
                            }
                        },
                        {
                            "name": "World Geodetic System 1984 (G1762)",
                            "id": {
                                "authority": "EPSG",
                                "code": 1156
                            }
                        },
                        {
                            "name": "World Geodetic System 1984 (G2139)",
                            "id": {
                                "authority": "EPSG",
                                "code": 1309
                            }
                        }
                    ],
                    "ellipsoid": {
                        "name": "WGS 84",
                        "semi_major_axis": 6378137,
                        "inverse_flattening": 298.257223563
                    },
                    "accuracy": "2.0",
                    "id": {
                        "authority": "EPSG",
                        "code": 6326
                    }
                },
                "coordinate_system": {
                    "subtype": "ellipsoidal",
                    "axis": [
                        {
                            "name": "Geodetic latitude",
                            "abbreviation": "Lat",
                            "direction": "north",
                            "unit": "degree"
                        },
                        {
                            "name": "Geodetic longitude",
                            "abbreviation": "Lon",
                            "direction": "east",
                            "unit": "degree"
                        }
                    ]
                },
                "id": {
                    "authority": "EPSG",
                    "code": 4326
                }
            },
            "method": {
                "name": "Position Vector transformation (geog2D domain)",
                "id": {
                    "authority": "EPSG",
                    "code": 9606
                }
            },
            "parameters": [
                {
                    "name": "X-axis translation",
                    "value": 577.326,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8605
                    }
                },
                {
                    "name": "Y-axis translation",
                    "value": 90.129,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8606
                    }
                },
                {
                    "name": "Z-axis translation",
                    "value": 463.919,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8607
                    }
                },
                {
                    "name": "X-axis rotation",
                    "value": 5.137,
                    "unit": {
                        "type": "AngularUnit",
                        "name": "arc-second",
                        "conversion_factor": 4.84813681109536e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8608
                    }
                },
                {
                    "name": "Y-axis rotation",
                    "value": 1.474,
                    "unit": {
                        "type": "AngularUnit",
                        "name": "arc-second",
                        "conversion_factor": 4.84813681109536e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8609
                    }
                },
                {
                    "name": "Z-axis rotation",
                    "value": 5.297,
                    "unit": {
                        "type": "AngularUnit",
                        "name": "arc-second",
                        "conversion_factor": 4.84813681109536e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8610
                    }
                },
                {
                    "name": "Scale difference",
                    "value": 2.4232,
                    "unit": {
                        "type": "ScaleUnit",
                        "name": "parts per million",
                        "conversion_factor": 1e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8611
                    }
                }
            ],
            "accuracy": "1.5",
            "id": {
                "authority": "EPSG",
                "code": 1618
            },
            "remarks": "Same transformation parameters used for MGI to ETRS89 (1) (code 1619)."
        }
    ],
    "scope": "Transformation of coordinates at 2m level of accuracy.",
    "area": "Austria.",
    "bbox": {
        "south_latitude": 46.4,
        "west_longitude": 9.53,
        "north_latitude": 49.02,
        "east_longitude": 17.17
    },
    "id": {
        "authority": "EPSG",
        "code": 8645
    }
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=pipeline"
	"step"
	"proj=axisswap"
	"order=2,1"
	"step"
	"proj=unitconvert"
	"xy_in=deg"
	"xy_out=rad"
	"step"
	"inv"
	"proj=longlat"
	"ellps=bessel"
	"pm=ferro"
	"step"
	"proj=push"
	"v_3"
	"step"
	"proj=cart"
	"ellps=bessel"
	"step"
	"proj=helmert"
	"x=577.326"
	"y=90.129"
	"z=463.919"
	"rx=5.137"
	"ry=1.474"
	"rz=5.297"
	"s=2.4232"
	"convention=position_vector"
	"step"
	"inv"
	"proj=cart"
	"ellps=WGS84"
	"step"
	"proj=pop"
	"v_3"
	"step"
	"proj=unitconvert"
	"xy_in=rad"
	"xy_out=deg"
	"step"
	"proj=axisswap"
	"order=2,1"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +inv +proj=longlat +ellps=bessel +pm=ferro +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=577.326 +y=90.129 +z=463.919 +rx=5.137 +ry=1.474 +rz=5.297 +s=2.4232 +convention=position_vector +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1">
	<Layer srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +inv +proj=longlat +ellps=bessel +pm=ferro +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=577.326 +y=90.129 +z=463.919 +rx=5.137 +ry=1.474 +rz=5.297 +s=2.4232 +convention=position_vector +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 8645, 'EPSG', 8645, '+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +inv +proj=longlat +ellps=bessel +pm=ferro +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=577.326 +y=90.129 +z=463.919 +rx=5.137 +ry=1.474 +rz=5.297 +s=2.4232 +convention=position_vector +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1', 'None');

Definition: OGC WKT 2 (2019)

CONCATENATEDOPERATION["MGI (Ferro) to WGS 84 (2)",VERSION["BEV-Aut"],SOURCECRS[GEOGCRS["MGI (Ferro)",DATUM["Militar-Geographische Institut (Ferro)",ELLIPSOID["Bessel 1841",6377397.155,299.1528128,LENGTHUNIT["metre",1]]],PRIMEM["Ferro",-17.6666666666667,ANGLEUNIT["degree",0.0174532925199433]],CS[ellipsoidal,2],AXIS["geodetic latitude (Lat)",north,ORDER[1],ANGLEUNIT["degree",0.0174532925199433]],AXIS["geodetic longitude (Lon)",east,ORDER[2],ANGLEUNIT["degree",0.0174532925199433]],ID["EPSG",4805]]],TARGETCRS[GEOGCRS["WGS 84",ENSEMBLE["World Geodetic System 1984 ensemble",MEMBER["World Geodetic System 1984 (Transit)"],MEMBER["World Geodetic System 1984 (G730)"],MEMBER["World Geodetic System 1984 (G873)"],MEMBER["World Geodetic System 1984 (G1150)"],MEMBER["World Geodetic System 1984 (G1674)"],MEMBER["World Geodetic System 1984 (G1762)"],MEMBER["World Geodetic System 1984 (G2139)"],ELLIPSOID["WGS 84",6378137,298.257223563,LENGTHUNIT["metre",1]],ENSEMBLEACCURACY[2.0]],PRIMEM["Greenwich",0,ANGLEUNIT["degree",0.0174532925199433]],CS[ellipsoidal,2],AXIS["geodetic latitude (Lat)",north,ORDER[1],ANGLEUNIT["degree",0.0174532925199433]],AXIS["geodetic longitude (Lon)",east,ORDER[2],ANGLEUNIT["degree",0.0174532925199433]],ID["EPSG",4326]]],STEP[COORDINATEOPERATION["MGI (Ferro) to MGI (1)",VERSION["BEV-Aut balk"],SOURCECRS[GEOGCRS["MGI (Ferro)",DATUM["Militar-Geographische Institut (Ferro)",ELLIPSOID["Bessel 1841",6377397.155,299.1528128,LENGTHUNIT["metre",1]]],PRIMEM["Ferro",-17.6666666666667,ANGLEUNIT["degree",0.0174532925199433]],CS[ellipsoidal,2],AXIS["geodetic latitude (Lat)",north,ORDER[1],ANGLEUNIT["degree",0.0174532925199433]],AXIS["geodetic longitude (Lon)",east,ORDER[2],ANGLEUNIT["degree",0.0174532925199433]],ID["EPSG",4805]]],TARGETCRS[GEOGCRS["MGI",DATUM["Militar-Geographische Institut",ELLIPSOID["Bessel 1841",6377397.155,299.1528128,LENGTHUNIT["metre",1]]],PRIMEM["Greenwich",0,ANGLEUNIT["degree",0.0174532925199433]],CS[ellipsoidal,2],AXIS["geodetic latitude (Lat)",north,ORDER[1],ANGLEUNIT["degree",0.0174532925199433]],AXIS["geodetic longitude (Lon)",east,ORDER[2],ANGLEUNIT["degree",0.0174532925199433]],ID["EPSG",4312]]],METHOD["Longitude rotation",ID["EPSG",9601]],PARAMETER["Longitude offset",-17.6666666666667,ANGLEUNIT["degree",0.0174532925199433],ID["EPSG",8602]],OPERATIONACCURACY[0.0],ID["EPSG",1757]]],STEP[COORDINATEOPERATION["MGI to WGS 84 (3)",VERSION["BEV-Aut"],SOURCECRS[GEOGCRS["MGI",DATUM["Militar-Geographische Institut",ELLIPSOID["Bessel 1841",6377397.155,299.1528128,LENGTHUNIT["metre",1]]],PRIMEM["Greenwich",0,ANGLEUNIT["degree",0.0174532925199433]],CS[ellipsoidal,2],AXIS["geodetic latitude (Lat)",north,ORDER[1],ANGLEUNIT["degree",0.0174532925199433]],AXIS["geodetic longitude (Lon)",east,ORDER[2],ANGLEUNIT["degree",0.0174532925199433]],ID["EPSG",4312]]],TARGETCRS[GEOGCRS["WGS 84",ENSEMBLE["World Geodetic System 1984 ensemble",MEMBER["World Geodetic System 1984 (Transit)"],MEMBER["World Geodetic System 1984 (G730)"],MEMBER["World Geodetic System 1984 (G873)"],MEMBER["World Geodetic System 1984 (G1150)"],MEMBER["World Geodetic System 1984 (G1674)"],MEMBER["World Geodetic System 1984 (G1762)"],MEMBER["World Geodetic System 1984 (G2139)"],ELLIPSOID["WGS 84",6378137,298.257223563,LENGTHUNIT["metre",1]],ENSEMBLEACCURACY[2.0]],PRIMEM["Greenwich",0,ANGLEUNIT["degree",0.0174532925199433]],CS[ellipsoidal,2],AXIS["geodetic latitude (Lat)",north,ORDER[1],ANGLEUNIT["degree",0.0174532925199433]],AXIS["geodetic longitude (Lon)",east,ORDER[2],ANGLEUNIT["degree",0.0174532925199433]],ID["EPSG",4326]]],METHOD["Position Vector transformation (geog2D domain)",ID["EPSG",9606]],PARAMETER["X-axis translation",577.326,LENGTHUNIT["metre",1],ID["EPSG",8605]],PARAMETER["Y-axis translation",90.129,LENGTHUNIT["metre",1],ID["EPSG",8606]],PARAMETER["Z-axis translation",463.919,LENGTHUNIT["metre",1],ID["EPSG",8607]],PARAMETER["X-axis rotation",5.137,ANGLEUNIT["arc-second",4.84813681109536E-06],ID["EPSG",8608]],PARAMETER["Y-axis rotation",1.474,ANGLEUNIT["arc-second",4.84813681109536E-06],ID["EPSG",8609]],PARAMETER["Z-axis rotation",5.297,ANGLEUNIT["arc-second",4.84813681109536E-06],ID["EPSG",8610]],PARAMETER["Scale difference",2.4232,SCALEUNIT["parts per million",1E-06],ID["EPSG",8611]],OPERATIONACCURACY[1.5],ID["EPSG",1618],REMARK["Same transformation parameters used for MGI to ETRS89 (1) (code 1619)."]]],USAGE[SCOPE["Transformation of coordinates at 2m level of accuracy."],AREA["Austria."],BBOX[46.4,9.53,49.02,17.17]],ID["EPSG",8645]]