EPSG:6206

MGI 1901 to WGS 84 (10)

Attributes

Geodetic CRS: MGI 1901

Datum: MGI 1901

Ellipsoid: Bessel 1841

Prime meridian: Greenwich

Data source: EPSG

Information source: OGP

Revision date: 2020-03-14

Scope: Transformation of coordinates at 1m level of accuracy.

Remarks: Derived at 13 stations. Residuals generally less than +/- 1m horizontally and vertically.

Method: Coordinate Frame rotation (geog2D domain)

Area of use: North Macedonia.

Description: (521.748, 229.489, 590.921, -4.029, -4.488, 15.521, -9.78)

MapTiler banner

Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["MGI 1901 to WGS 84 (10)",
    VERSION["Kat-Mkd"],
    SOURCECRS[
        GEOGCRS["MGI 1901",
            DATUM["MGI 1901",
                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",3906]]],
    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)"],
                MEMBER["World Geodetic System 1984 (G2296)"],
                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["Coordinate Frame rotation (geog2D domain)",
        ID["EPSG",9607]],
    PARAMETER["X-axis translation",521.748,
        LENGTHUNIT["metre",1],
        ID["EPSG",8605]],
    PARAMETER["Y-axis translation",229.489,
        LENGTHUNIT["metre",1],
        ID["EPSG",8606]],
    PARAMETER["Z-axis translation",590.921,
        LENGTHUNIT["metre",1],
        ID["EPSG",8607]],
    PARAMETER["X-axis rotation",-4.029,
        ANGLEUNIT["arc-second",4.84813681109536E-06],
        ID["EPSG",8608]],
    PARAMETER["Y-axis rotation",-4.488,
        ANGLEUNIT["arc-second",4.84813681109536E-06],
        ID["EPSG",8609]],
    PARAMETER["Z-axis rotation",15.521,
        ANGLEUNIT["arc-second",4.84813681109536E-06],
        ID["EPSG",8610]],
    PARAMETER["Scale difference",-9.78,
        SCALEUNIT["parts per million",1E-06],
        ID["EPSG",8611]],
    OPERATIONACCURACY[2.0],
    USAGE[
        SCOPE["Transformation of coordinates at 1m level of accuracy."],
        AREA["North Macedonia."],
        BBOX[40.85,20.45,42.36,23.04]],
    ID["EPSG",6206],
    REMARK["Derived at 13 stations. Residuals generally less than +/- 1m horizontally and vertically."]]

Definition: PROJ.4

+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=521.748 +y=229.489 +z=590.921 +rx=-4.029 +ry=-4.488 +rz=15.521 +s=-9.78 +convention=coordinate_frame +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:6206","+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=521.748 +y=229.489 +z=590.921 +rx=-4.029 +ry=-4.488 +rz=15.521 +s=-9.78 +convention=coordinate_frame +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/v0.7/projjson.schema.json",
    "type": "Transformation",
    "name": "MGI 1901 to WGS 84 (10)",
    "source_crs": {
        "type": "GeographicCRS",
        "name": "MGI 1901",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "MGI 1901",
            "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": 3906
        },
        "remarks": "Adopted in 1924 replacing MGI (Ferro) (CRS code 4805). Densified in 1948. In Slovenia replaced by D96 (CRS code 4765). In Croatia replaced by HTRS96 (CRS code 4761). In Serbia replaced by SREF98 and then by SRB_ETRS89 (STRS00) (CRS codes 4075 and 8691)."
    },
    "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
                    }
                },
                {
                    "name": "World Geodetic System 1984 (G2296)",
                    "id": {
                        "authority": "EPSG",
                        "code": 1383
                    }
                }
            ],
            "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": "Coordinate Frame rotation (geog2D domain)",
        "id": {
            "authority": "EPSG",
            "code": 9607
        }
    },
    "parameters": [
        {
            "name": "X-axis translation",
            "value": 521.748,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8605
            }
        },
        {
            "name": "Y-axis translation",
            "value": 229.489,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8606
            }
        },
        {
            "name": "Z-axis translation",
            "value": 590.921,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8607
            }
        },
        {
            "name": "X-axis rotation",
            "value": -4.029,
            "unit": {
                "type": "AngularUnit",
                "name": "arc-second",
                "conversion_factor": 4.84813681109536e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8608
            }
        },
        {
            "name": "Y-axis rotation",
            "value": -4.488,
            "unit": {
                "type": "AngularUnit",
                "name": "arc-second",
                "conversion_factor": 4.84813681109536e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8609
            }
        },
        {
            "name": "Z-axis rotation",
            "value": 15.521,
            "unit": {
                "type": "AngularUnit",
                "name": "arc-second",
                "conversion_factor": 4.84813681109536e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8610
            }
        },
        {
            "name": "Scale difference",
            "value": -9.78,
            "unit": {
                "type": "ScaleUnit",
                "name": "parts per million",
                "conversion_factor": 1e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8611
            }
        }
    ],
    "accuracy": "2.0",
    "scope": "Transformation of coordinates at 1m level of accuracy.",
    "area": "North Macedonia.",
    "bbox": {
        "south_latitude": 40.85,
        "west_longitude": 20.45,
        "north_latitude": 42.36,
        "east_longitude": 23.04
    },
    "id": {
        "authority": "EPSG",
        "code": 6206
    },
    "remarks": "Derived at 13 stations. Residuals generally less than +/- 1m horizontally and vertically."
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=pipeline"
	"step"
	"proj=axisswap"
	"order=2,1"
	"step"
	"proj=unitconvert"
	"xy_in=deg"
	"xy_out=rad"
	"step"
	"proj=push"
	"v_3"
	"step"
	"proj=cart"
	"ellps=bessel"
	"step"
	"proj=helmert"
	"x=521.748"
	"y=229.489"
	"z=590.921"
	"rx=-4.029"
	"ry=-4.488"
	"rz=15.521"
	"s=-9.78"
	"convention=coordinate_frame"
	"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 +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=521.748 +y=229.489 +z=590.921 +rx=-4.029 +ry=-4.488 +rz=15.521 +s=-9.78 +convention=coordinate_frame +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 +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=521.748 +y=229.489 +z=590.921 +rx=-4.029 +ry=-4.488 +rz=15.521 +s=-9.78 +convention=coordinate_frame +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 ( 6206, 'EPSG', 6206, '+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=bessel +step +proj=helmert +x=521.748 +y=229.489 +z=590.921 +rx=-4.029 +ry=-4.488 +rz=15.521 +s=-9.78 +convention=coordinate_frame +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');