EPSG:9945

Macedonia State Coordinate System truncated

Selected transformation

Method: Coordinate Frame rotation (geog2D domain)

Remarks: Derived at 479 nodes of Delauney triangulation generated from 1958 control points. Replaces MGI 1901 to Slovenia 1996 (1) (code 3916). May be taken as approximate transformation MGI 1901 to WGS 84 (see code 8688).

Information source: Berk and Komadina in GIS v Slovenije volume 10, 2009-2010, 291-299, Ljubliana. Also in Berk & Boldin (2017) Slovenian Coordinate Reference Systems in GIS Environment, Geodetski Vestnik 61(1), 91-101 using Position Vector transformation.

Revision date: 2021-09-08

Attributes

Unit: metre

Geodetic CRS: MGI 1901

Datum: MGI 1901

Ellipsoid: Bessel 1841

Prime meridian: Greenwich

Data source: EPSG

Information source: Agency for Real Estate Cadastre (AREC), www.katastar.gov.mk

Revision date: 2022-03-18

Scope: Cadastre.

Remarks: Macedonia State Coordinate System (CRS code 6204) with northing reduced by 4 million. Cadastral data from AREC may be delivered in this CRS.

Area of use: North Macedonia.

Coordinate system: Cartesian 2D CS. Axes: easting, northing (Y,X). Orientations: east, north. UoM: m.

Center coordinates
35858.53 1129279.35

Projected bounds:
-96634.55 1039971.4
165109.56 1221126.72

WGS84 bounds:
13.38 45.42
16.61 46.88

Slovenia - onshore.
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Definition: OGC Well Known Text

PROJCS["Macedonia State Coordinate System truncated",
    GEOGCS["MGI 1901",
        DATUM["MGI_1901",
            SPHEROID["Bessel 1841",6377397.155,299.1528128],
            TOWGS84[476.08,125.947,417.81,-4.610862,-2.388137,11.942335,9.896638]],
        PRIMEM["Greenwich",0,
            AUTHORITY["EPSG","8901"]],
        UNIT["degree",0.0174532925199433,
            AUTHORITY["EPSG","9122"]],
        AUTHORITY["EPSG","3906"]],
    PROJECTION["Transverse_Mercator"],
    PARAMETER["latitude_of_origin",0],
    PARAMETER["central_meridian",21],
    PARAMETER["scale_factor",0.9999],
    PARAMETER["false_easting",500000],
    PARAMETER["false_northing",-4000000],
    UNIT["metre",1,
        AUTHORITY["EPSG","9001"]],
    AXIS["Easting",EAST],
    AXIS["Northing",NORTH],
    AUTHORITY["EPSG","9945"]]

Definition: OGC Well Known Text 2 (2019)

BOUNDCRS[
    SOURCECRS[
        PROJCRS["Macedonia State Coordinate System truncated",
            BASEGEOGCRS["MGI 1901",
                DATUM["MGI 1901",
                    ELLIPSOID["Bessel 1841",6377397.155,299.1528128,
                        LENGTHUNIT["metre",1]]],
                PRIMEM["Greenwich",0,
                    ANGLEUNIT["degree",0.0174532925199433]],
                ID["EPSG",3906]],
            CONVERSION["Macedonia Gauss-Kruger truncated",
                METHOD["Transverse Mercator",
                    ID["EPSG",9807]],
                PARAMETER["Latitude of natural origin",0,
                    ANGLEUNIT["degree",0.0174532925199433],
                    ID["EPSG",8801]],
                PARAMETER["Longitude of natural origin",21,
                    ANGLEUNIT["degree",0.0174532925199433],
                    ID["EPSG",8802]],
                PARAMETER["Scale factor at natural origin",0.9999,
                    SCALEUNIT["unity",1],
                    ID["EPSG",8805]],
                PARAMETER["False easting",500000,
                    LENGTHUNIT["metre",1],
                    ID["EPSG",8806]],
                PARAMETER["False northing",-4000000,
                    LENGTHUNIT["metre",1],
                    ID["EPSG",8807]]],
            CS[Cartesian,2],
                AXIS["easting (Y)",east,
                    ORDER[1],
                    LENGTHUNIT["metre",1]],
                AXIS["northing (X)",north,
                    ORDER[2],
                    LENGTHUNIT["metre",1]],
            USAGE[
                SCOPE["Cadastre."],
                AREA["North Macedonia."],
                BBOX[40.85,20.45,42.36,23.04]],
            ID["EPSG",9945]]],
    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]],
            USAGE[
                SCOPE["Horizontal component of 3D system."],
                AREA["World."],
                BBOX[-90,-180,90,180]],
            ID["EPSG",4326]]],
    ABRIDGEDTRANSFORMATION["Transformation from unknown to WGS84",
        METHOD["Position Vector transformation (geog2D domain)",
            ID["EPSG",9606]],
        PARAMETER["X-axis translation",476.08,
            ID["EPSG",8605]],
        PARAMETER["Y-axis translation",125.947,
            ID["EPSG",8606]],
        PARAMETER["Z-axis translation",417.81,
            ID["EPSG",8607]],
        PARAMETER["X-axis rotation",-4.610862,
            ID["EPSG",8608]],
        PARAMETER["Y-axis rotation",-2.388137,
            ID["EPSG",8609]],
        PARAMETER["Z-axis rotation",11.942335,
            ID["EPSG",8610]],
        PARAMETER["Scale difference",1.000009896638,
            ID["EPSG",8611]]]]

Definition: ESRI Well Known Text

PROJCS["Macedonia_State_Coordinate_System_truncated",
    GEOGCS["GCS_MGI_1901",
        DATUM["D_MGI_1901",
            SPHEROID["Bessel_1841",6377397.155,299.1528128]],
        PRIMEM["Greenwich",0.0],
        UNIT["Degree",0.0174532925199433]],
    PROJECTION["Transverse_Mercator"],
    PARAMETER["False_Easting",500000.0],
    PARAMETER["False_Northing",-4000000.0],
    PARAMETER["Central_Meridian",21.0],
    PARAMETER["Scale_Factor",0.9999],
    PARAMETER["Latitude_Of_Origin",0.0],
    UNIT["Meter",1.0]]

Definition: PROJ.4

+proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=-4000000 +ellps=bessel +towgs84=476.08,125.947,417.81,-4.610862,-2.388137,11.942335,9.896638 +units=m +no_defs +type=crs

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:9945","+proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=-4000000 +ellps=bessel +towgs84=476.08,125.947,417.81,-4.610862,-2.388137,11.942335,9.896638 +units=m +no_defs +type=crs");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json",
    "type": "BoundCRS",
    "source_crs": {
        "type": "ProjectedCRS",
        "name": "Macedonia State Coordinate System truncated",
        "base_crs": {
            "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
            }
        },
        "conversion": {
            "name": "Macedonia Gauss-Kruger truncated",
            "method": {
                "name": "Transverse Mercator",
                "id": {
                    "authority": "EPSG",
                    "code": 9807
                }
            },
            "parameters": [
                {
                    "name": "Latitude of natural origin",
                    "value": 0,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8801
                    }
                },
                {
                    "name": "Longitude of natural origin",
                    "value": 21,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8802
                    }
                },
                {
                    "name": "Scale factor at natural origin",
                    "value": 0.9999,
                    "unit": "unity",
                    "id": {
                        "authority": "EPSG",
                        "code": 8805
                    }
                },
                {
                    "name": "False easting",
                    "value": 500000,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8806
                    }
                },
                {
                    "name": "False northing",
                    "value": -4000000,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8807
                    }
                }
            ]
        },
        "coordinate_system": {
            "subtype": "Cartesian",
            "axis": [
                {
                    "name": "Easting",
                    "abbreviation": "Y",
                    "direction": "east",
                    "unit": "metre"
                },
                {
                    "name": "Northing",
                    "abbreviation": "X",
                    "direction": "north",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 9945
        }
    },
    "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
        }
    },
    "transformation": {
        "name": "Transformation from unknown to WGS84",
        "method": {
            "name": "Position Vector transformation (geog2D domain)",
            "id": {
                "authority": "EPSG",
                "code": 9606
            }
        },
        "parameters": [
            {
                "name": "X-axis translation",
                "value": 476.08,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8605
                }
            },
            {
                "name": "Y-axis translation",
                "value": 125.947,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8606
                }
            },
            {
                "name": "Z-axis translation",
                "value": 417.81,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8607
                }
            },
            {
                "name": "X-axis rotation",
                "value": -4.610862,
                "unit": {
                    "type": "AngularUnit",
                    "name": "arc-second",
                    "conversion_factor": 4.84813681109536e-06
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8608
                }
            },
            {
                "name": "Y-axis rotation",
                "value": -2.388137,
                "unit": {
                    "type": "AngularUnit",
                    "name": "arc-second",
                    "conversion_factor": 4.84813681109536e-06
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8609
                }
            },
            {
                "name": "Z-axis rotation",
                "value": 11.942335,
                "unit": {
                    "type": "AngularUnit",
                    "name": "arc-second",
                    "conversion_factor": 4.84813681109536e-06
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8610
                }
            },
            {
                "name": "Scale difference",
                "value": 9.896638,
                "unit": {
                    "type": "ScaleUnit",
                    "name": "parts per million",
                    "conversion_factor": 1e-06
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8611
                }
            }
        ]
    }
}

Definition: GeoServer

9945=PROJCS["Macedonia State Coordinate System truncated",GEOGCS["MGI 1901",DATUM["MGI_1901",SPHEROID["Bessel 1841",6377397.155,299.1528128],TOWGS84[476.08,125.947,417.81,-4.610862,-2.388137,11.942335,9.896638]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","3906"]],PROJECTION["Transverse_Mercator"],PARAMETER["latitude_of_origin",0],PARAMETER["central_meridian",21],PARAMETER["scale_factor",0.9999],PARAMETER["false_easting",500000],PARAMETER["false_northing",-4000000],UNIT["metre",1,AUTHORITY["EPSG","9001"]],AXIS["Easting",EAST],AXIS["Northing",NORTH],AUTHORITY["EPSG","9945"]]

Definition: MapServer - MAPfile

PROJECTION
	"proj=tmerc"
	"lat_0=0"
	"lon_0=21"
	"k=0.9999"
	"x_0=500000"
	"y_0=-4000000"
	"ellps=bessel"
	"towgs84=476.08,125.947,417.81,-4.610862,-2.388137,11.942335,9.896638"
	"units=m"
	"no_defs"
	"type=crs"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=-4000000 +ellps=bessel +towgs84=476.08,125.947,417.81,-4.610862,-2.388137,11.942335,9.896638 +units=m +no_defs +type=crs">
	<Layer srs="+proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=-4000000 +ellps=bessel +towgs84=476.08,125.947,417.81,-4.610862,-2.388137,11.942335,9.896638 +units=m +no_defs +type=crs">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 9945, 'EPSG', 9945, '+proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=-4000000 +ellps=bessel +towgs84=476.08,125.947,417.81,-4.610862,-2.388137,11.942335,9.896638 +units=m +no_defs +type=crs', 'PROJCS["Macedonia State Coordinate System truncated",GEOGCS["MGI 1901",DATUM["MGI_1901",SPHEROID["Bessel 1841",6377397.155,299.1528128],TOWGS84[476.08,125.947,417.81,-4.610862,-2.388137,11.942335,9.896638]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","3906"]],PROJECTION["Transverse_Mercator"],PARAMETER["latitude_of_origin",0],PARAMETER["central_meridian",21],PARAMETER["scale_factor",0.9999],PARAMETER["false_easting",500000],PARAMETER["false_northing",-4000000],UNIT["metre",1,AUTHORITY["EPSG","9001"]],AXIS["Easting",EAST],AXIS["Northing",NORTH],AUTHORITY["EPSG","9945"]]');