EPSG:5513

S-JTSK / Krovak

Selected transformation

Grid Files: Slovakia_JTSK03_to_JTSK.LAS Slovakia_JTSK03_to_JTSK.LOS

Remarks: Recommended method of a transformation from S-JTSK to ETRS89 in Slovakia. For reverse transformation see ETRS89 to S-JTSK (5) (code 8442). Both together replace S-JTSK to ETRS89 (4) (code 4827).

Information source: Geodesy, Cartography and Cadastre Authority of Slovak Republic (UGKK SR).

Revision date: 2020-03-14

Attributes

Unit: metre

Geodetic CRS: S-JTSK

Datum: System of the Unified Trigonometrical Cadastral Network

Ellipsoid: Bessel 1841

Prime meridian: Greenwich

Data source: EPSG

Information source: Research Institute for Geodesy Topography and Cartography (VUGTK); Prague, and Geodesy, Cartography and Cadastre Authority of Slovak Republic (UGKK SR).

Revision date: 2018-02-16

Scope: Cadastre in Slovakia.

Remarks: Equivalent to CRS code 2065 but referenced to Greenwich meridian. In SK remains legal system for cadastre, but for non-cadastral purposes replaced by S-JTSK [JTSK03] / Krovak (CRS code 8352). In CZ replaced by S-JTSK/05 / Modified Krovak, CRS code 5515.

Area of use: Czechia; Slovakia.

Coordinate system: Cartesian 2D CS. Axes: southing, westing (X,Y). Orientations: south, west. UoM: m.

Center coordinates
1238664.83 377604.01

Projected bounds:
1116658.38 164132.87
1353306.69 598358.82

WGS84 bounds:
16.84 47.73
22.56 49.61

Slovakia.
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Definition: OGC Well Known Text 2 (2019)

BOUNDCRS[
    SOURCECRS[
        BOUNDCRS[
            SOURCECRS[
                PROJCRS["S-JTSK / Krovak",
                    BASEGEOGCRS["S-JTSK",
                        DATUM["System of the Unified Trigonometrical Cadastral Network",
                            ELLIPSOID["Bessel 1841",6377397.155,299.1528128,
                                LENGTHUNIT["metre",1]]],
                        PRIMEM["Greenwich",0,
                            ANGLEUNIT["degree",0.0174532925199433]],
                        ID["EPSG",4156]],
                    CONVERSION["Krovak (Greenwich)",
                        METHOD["Krovak",
                            ID["EPSG",9819]],
                        PARAMETER["Latitude of projection centre",49.5,
                            ANGLEUNIT["degree",0.0174532925199433],
                            ID["EPSG",8811]],
                        PARAMETER["Longitude of origin",24.8333333333333,
                            ANGLEUNIT["degree",0.0174532925199433],
                            ID["EPSG",8833]],
                        PARAMETER["Co-latitude of cone axis",30.2881397527778,
                            ANGLEUNIT["degree",0.0174532925199433],
                            ID["EPSG",1036]],
                        PARAMETER["Latitude of pseudo standard parallel",78.5,
                            ANGLEUNIT["degree",0.0174532925199433],
                            ID["EPSG",8818]],
                        PARAMETER["Scale factor on pseudo standard parallel",0.9999,
                            SCALEUNIT["unity",1],
                            ID["EPSG",8819]],
                        PARAMETER["False easting",0,
                            LENGTHUNIT["metre",1],
                            ID["EPSG",8806]],
                        PARAMETER["False northing",0,
                            LENGTHUNIT["metre",1],
                            ID["EPSG",8807]]],
                    CS[Cartesian,2],
                        AXIS["southing (X)",south,
                            ORDER[1],
                            LENGTHUNIT["metre",1]],
                        AXIS["westing (Y)",west,
                            ORDER[2],
                            LENGTHUNIT["metre",1]],
                    ID["EPSG",5513]]],
            TARGETCRS[
                GEOGCRS["S-JTSK [JTSK03]",
                    DATUM["System of the Unified Trigonometrical Cadastral Network [JTSK03]",
                        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",8351]]],
            ABRIDGEDTRANSFORMATION["Inverse of S-JTSK [JTSK03] to S-JTSK (1)",
                METHOD["Inverse of NADCON",
                    ID["INVERSE(EPSG)",9613]],
                PARAMETERFILE["Latitude difference file","Slovakia_JTSK03_to_JTSK.LAS"],
                PARAMETERFILE["Longitude difference file","Slovakia_JTSK03_to_JTSK.LOS"],
                ID["INVERSE(EPSG)",8364]]]],
    TARGETCRS[
        GEOGCRS["ETRS89",
            ENSEMBLE["European Terrestrial Reference System 1989 ensemble",
                MEMBER["European Terrestrial Reference Frame 1989"],
                MEMBER["European Terrestrial Reference Frame 1990"],
                MEMBER["European Terrestrial Reference Frame 1991"],
                MEMBER["European Terrestrial Reference Frame 1992"],
                MEMBER["European Terrestrial Reference Frame 1993"],
                MEMBER["European Terrestrial Reference Frame 1994"],
                MEMBER["European Terrestrial Reference Frame 1996"],
                MEMBER["European Terrestrial Reference Frame 1997"],
                MEMBER["European Terrestrial Reference Frame 2000"],
                MEMBER["European Terrestrial Reference Frame 2005"],
                MEMBER["European Terrestrial Reference Frame 2014"],
                ELLIPSOID["GRS 1980",6378137,298.257222101,
                    LENGTHUNIT["metre",1]],
                ENSEMBLEACCURACY[0.1]],
            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]],
            USAGE[
                SCOPE["Spatial referencing."],
                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",4258]]],
    ABRIDGEDTRANSFORMATION["S-JTSK [JTSK03] to ETRS89 (1)",
        METHOD["Coordinate Frame rotation (geog2D domain)",
            ID["EPSG",9607]],
        PARAMETER["X-axis translation",485.021,
            ID["EPSG",8605]],
        PARAMETER["Y-axis translation",169.465,
            ID["EPSG",8606]],
        PARAMETER["Z-axis translation",483.839,
            ID["EPSG",8607]],
        PARAMETER["X-axis rotation",-7.786342,
            ID["EPSG",8608]],
        PARAMETER["Y-axis rotation",-4.397554,
            ID["EPSG",8609]],
        PARAMETER["Z-axis rotation",-4.102655,
            ID["EPSG",8610]],
        PARAMETER["Scale difference",1,
            ID["EPSG",8611]],
        USAGE[
            SCOPE["Geodesy."],
            AREA["Slovakia."],
            BBOX[47.73,16.84,49.61,22.56]],
        ID["EPSG",8367],
        REMARK["Derived at 684 points. At the 1mm accuracy level this transformation is not reversible: for reverse see transformation code 8365. May be taken as approximate transformation to WGS 84 - see code 8368."]]]

Definition: PROJ.4

+proj=krovak +axis=swu +lat_0=49.5 +lon_0=24.8333333333333 +alpha=30.2881397527778 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +units=m +no_defs +type=crs

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:5513","+proj=krovak +axis=swu +lat_0=49.5 +lon_0=24.8333333333333 +alpha=30.2881397527778 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +units=m +no_defs +type=crs");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json",
    "type": "BoundCRS",
    "source_crs": {
        "type": "BoundCRS",
        "source_crs": {
            "type": "ProjectedCRS",
            "name": "S-JTSK / Krovak",
            "base_crs": {
                "name": "S-JTSK",
                "datum": {
                    "type": "GeodeticReferenceFrame",
                    "name": "System of the Unified Trigonometrical Cadastral Network",
                    "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": 4156
                }
            },
            "conversion": {
                "name": "Krovak (Greenwich)",
                "method": {
                    "name": "Krovak",
                    "id": {
                        "authority": "EPSG",
                        "code": 9819
                    }
                },
                "parameters": [
                    {
                        "name": "Latitude of projection centre",
                        "value": 49.5,
                        "unit": "degree",
                        "id": {
                            "authority": "EPSG",
                            "code": 8811
                        }
                    },
                    {
                        "name": "Longitude of origin",
                        "value": 24.8333333333333,
                        "unit": "degree",
                        "id": {
                            "authority": "EPSG",
                            "code": 8833
                        }
                    },
                    {
                        "name": "Co-latitude of cone axis",
                        "value": 30.2881397527778,
                        "unit": "degree",
                        "id": {
                            "authority": "EPSG",
                            "code": 1036
                        }
                    },
                    {
                        "name": "Latitude of pseudo standard parallel",
                        "value": 78.5,
                        "unit": "degree",
                        "id": {
                            "authority": "EPSG",
                            "code": 8818
                        }
                    },
                    {
                        "name": "Scale factor on pseudo standard parallel",
                        "value": 0.9999,
                        "unit": "unity",
                        "id": {
                            "authority": "EPSG",
                            "code": 8819
                        }
                    },
                    {
                        "name": "False easting",
                        "value": 0,
                        "unit": "metre",
                        "id": {
                            "authority": "EPSG",
                            "code": 8806
                        }
                    },
                    {
                        "name": "False northing",
                        "value": 0,
                        "unit": "metre",
                        "id": {
                            "authority": "EPSG",
                            "code": 8807
                        }
                    }
                ]
            },
            "coordinate_system": {
                "subtype": "Cartesian",
                "axis": [
                    {
                        "name": "Southing",
                        "abbreviation": "X",
                        "direction": "south",
                        "unit": "metre"
                    },
                    {
                        "name": "Westing",
                        "abbreviation": "Y",
                        "direction": "west",
                        "unit": "metre"
                    }
                ]
            },
            "id": {
                "authority": "EPSG",
                "code": 5513
            }
        },
        "target_crs": {
            "type": "GeographicCRS",
            "name": "S-JTSK [JTSK03]",
            "datum": {
                "type": "GeodeticReferenceFrame",
                "name": "System of the Unified Trigonometrical Cadastral Network [JTSK03]",
                "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": 8351
            }
        },
        "transformation": {
            "name": "Inverse of S-JTSK [JTSK03] to S-JTSK (1)",
            "method": {
                "name": "Inverse of NADCON",
                "id": {
                    "authority": "INVERSE(EPSG)",
                    "code": 9613
                }
            },
            "parameters": [
                {
                    "name": "Latitude difference file",
                    "value": "Slovakia_JTSK03_to_JTSK.LAS",
                    "id": {
                        "authority": "EPSG",
                        "code": 8657
                    }
                },
                {
                    "name": "Longitude difference file",
                    "value": "Slovakia_JTSK03_to_JTSK.LOS",
                    "id": {
                        "authority": "EPSG",
                        "code": 8658
                    }
                }
            ],
            "id": {
                "authority": "INVERSE(EPSG)",
                "code": 8364
            }
        }
    },
    "target_crs": {
        "type": "GeographicCRS",
        "name": "ETRS89",
        "datum_ensemble": {
            "name": "European Terrestrial Reference System 1989 ensemble",
            "members": [
                {
                    "name": "European Terrestrial Reference Frame 1989",
                    "id": {
                        "authority": "EPSG",
                        "code": 1178
                    }
                },
                {
                    "name": "European Terrestrial Reference Frame 1990",
                    "id": {
                        "authority": "EPSG",
                        "code": 1179
                    }
                },
                {
                    "name": "European Terrestrial Reference Frame 1991",
                    "id": {
                        "authority": "EPSG",
                        "code": 1180
                    }
                },
                {
                    "name": "European Terrestrial Reference Frame 1992",
                    "id": {
                        "authority": "EPSG",
                        "code": 1181
                    }
                },
                {
                    "name": "European Terrestrial Reference Frame 1993",
                    "id": {
                        "authority": "EPSG",
                        "code": 1182
                    }
                },
                {
                    "name": "European Terrestrial Reference Frame 1994",
                    "id": {
                        "authority": "EPSG",
                        "code": 1183
                    }
                },
                {
                    "name": "European Terrestrial Reference Frame 1996",
                    "id": {
                        "authority": "EPSG",
                        "code": 1184
                    }
                },
                {
                    "name": "European Terrestrial Reference Frame 1997",
                    "id": {
                        "authority": "EPSG",
                        "code": 1185
                    }
                },
                {
                    "name": "European Terrestrial Reference Frame 2000",
                    "id": {
                        "authority": "EPSG",
                        "code": 1186
                    }
                },
                {
                    "name": "European Terrestrial Reference Frame 2005",
                    "id": {
                        "authority": "EPSG",
                        "code": 1204
                    }
                },
                {
                    "name": "European Terrestrial Reference Frame 2014",
                    "id": {
                        "authority": "EPSG",
                        "code": 1206
                    }
                }
            ],
            "ellipsoid": {
                "name": "GRS 1980",
                "semi_major_axis": 6378137,
                "inverse_flattening": 298.257222101
            },
            "accuracy": "0.1",
            "id": {
                "authority": "EPSG",
                "code": 6258
            }
        },
        "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": 4258
        }
    },
    "transformation": {
        "name": "S-JTSK [JTSK03] to ETRS89 (1)",
        "source_crs": {
            "type": "GeographicCRS",
            "name": "S-JTSK [JTSK03]",
            "datum": {
                "type": "GeodeticReferenceFrame",
                "name": "System of the Unified Trigonometrical Cadastral Network [JTSK03]",
                "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": 8351
            }
        },
        "method": {
            "name": "Coordinate Frame rotation (geog2D domain)",
            "id": {
                "authority": "EPSG",
                "code": 9607
            }
        },
        "parameters": [
            {
                "name": "X-axis translation",
                "value": 485.021,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8605
                }
            },
            {
                "name": "Y-axis translation",
                "value": 169.465,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8606
                }
            },
            {
                "name": "Z-axis translation",
                "value": 483.839,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8607
                }
            },
            {
                "name": "X-axis rotation",
                "value": -7.786342,
                "unit": {
                    "type": "AngularUnit",
                    "name": "arc-second",
                    "conversion_factor": 4.84813681109536e-06
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8608
                }
            },
            {
                "name": "Y-axis rotation",
                "value": -4.397554,
                "unit": {
                    "type": "AngularUnit",
                    "name": "arc-second",
                    "conversion_factor": 4.84813681109536e-06
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8609
                }
            },
            {
                "name": "Z-axis rotation",
                "value": -4.102655,
                "unit": {
                    "type": "AngularUnit",
                    "name": "arc-second",
                    "conversion_factor": 4.84813681109536e-06
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8610
                }
            },
            {
                "name": "Scale difference",
                "value": 0,
                "unit": {
                    "type": "ScaleUnit",
                    "name": "parts per million",
                    "conversion_factor": 1e-06
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8611
                }
            }
        ],
        "id": {
            "authority": "EPSG",
            "code": 8367
        }
    }
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=krovak"
	"axis=swu"
	"lat_0=49.5"
	"lon_0=24.8333333333333"
	"alpha=30.2881397527778"
	"k=0.9999"
	"x_0=0"
	"y_0=0"
	"ellps=bessel"
	"units=m"
	"no_defs"
	"type=crs"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=krovak +axis=swu +lat_0=49.5 +lon_0=24.8333333333333 +alpha=30.2881397527778 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +units=m +no_defs +type=crs">
	<Layer srs="+proj=krovak +axis=swu +lat_0=49.5 +lon_0=24.8333333333333 +alpha=30.2881397527778 +k=0.9999 +x_0=0 +y_0=0 +ellps=bessel +units=m +no_defs +type=crs">
	</Layer>
</Map>