EPSG:15733

Bogota 1975 to MAGNA-SIRGAS (12)

Attributes

Geodetic CRS: Bogota 1975

Datum: Bogota 1975

Ellipsoid: International 1924

Prime meridian: Greenwich

Data source: EPSG

Information source: Instituto Geografico Agustin Codazzi (IGAC) publication "Aspectos prácticos de la adopción del Marco Geocéntrico Nacional de Referencia MAGNA-SIRGAS como datum oficial de Colombia". http://www.igac.gov.co/MAGNAWEB/DocumentosMAGNA.htm

Revision date: 2007-07-02

Scope: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Remarks: Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (4), tfm code 15720.

Method: Molodensky-Badekas (CF geog2D domain)

Area of use: Colombia - region IV - between 5°N and 9°24'N and between 74°24'W and 72°W.

Description: (0,)

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Colombia - region IV - between 5°N and 9°24'N and between 74°24'W and 72°W.

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Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["Bogota 1975 to MAGNA-SIRGAS (12)",
    VERSION["IGAC-Col MB reg 4"],
    SOURCECRS[
        GEOGCRS["Bogota 1975",
            DATUM["Bogota 1975",
                ELLIPSOID["International 1924",6378388,297,
                    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",4218]]],
    TARGETCRS[
        GEOGCRS["MAGNA-SIRGAS",
            DATUM["Marco Geocentrico Nacional de Referencia",
                ELLIPSOID["GRS 1980",6378137,298.257222101,
                    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",4686]]],
    METHOD["Molodensky-Badekas (CF geog2D domain)",
        ID["EPSG",9636]],
    PARAMETER["X-axis translation",306.666,
        LENGTHUNIT["metre",1],
        ID["EPSG",8605]],
    PARAMETER["Y-axis translation",315.063,
        LENGTHUNIT["metre",1],
        ID["EPSG",8606]],
    PARAMETER["Z-axis translation",-318.837,
        LENGTHUNIT["metre",1],
        ID["EPSG",8607]],
    PARAMETER["X-axis rotation",-7.992173E-05,
        ANGLEUNIT["radian",1],
        ID["EPSG",8608]],
    PARAMETER["Y-axis rotation",-8.090698E-06,
        ANGLEUNIT["radian",1],
        ID["EPSG",8609]],
    PARAMETER["Z-axis rotation",0.0001051699,
        ANGLEUNIT["radian",1],
        ID["EPSG",8610]],
    PARAMETER["Scale difference",-13.89912,
        SCALEUNIT["parts per million",1E-06],
        ID["EPSG",8611]],
    PARAMETER["Ordinate 1 of evaluation point",1845222.398,
        LENGTHUNIT["metre",1],
        ID["EPSG",8617]],
    PARAMETER["Ordinate 2 of evaluation point",-6058604.495,
        LENGTHUNIT["metre",1],
        ID["EPSG",8618]],
    PARAMETER["Ordinate 3 of evaluation point",769132.398,
        LENGTHUNIT["metre",1],
        ID["EPSG",8667]],
    OPERATIONACCURACY[1.0],
    USAGE[
        SCOPE["Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion."],
        AREA["Colombia - region IV - between 5°N and 9°24'N and between 74°24'W and 72°W."],
        BBOX[5,-74.4,9.4,-71.99]],
    ID["EPSG",15733],
    REMARK["Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (4), tfm code 15720."]]

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=intl +step +proj=molobadekas +x=306.666 +y=315.063 +z=-318.837 +rx=-16.4850401533828 +ry=-1.66882625537377 +rz=21.6928490465265 +s=-13.89912 +px=1845222.398 +py=-6058604.495 +pz=769132.398 +convention=coordinate_frame +step +inv +proj=cart +ellps=GRS80 +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:15733","+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=intl +step +proj=molobadekas +x=306.666 +y=315.063 +z=-318.837 +rx=-16.4850401533828 +ry=-1.66882625537377 +rz=21.6928490465265 +s=-13.89912 +px=1845222.398 +py=-6058604.495 +pz=769132.398 +convention=coordinate_frame +step +inv +proj=cart +ellps=GRS80 +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": "Bogota 1975 to MAGNA-SIRGAS (12)",
    "source_crs": {
        "type": "GeographicCRS",
        "name": "Bogota 1975",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "Bogota 1975",
            "ellipsoid": {
                "name": "International 1924",
                "semi_major_axis": 6378388,
                "inverse_flattening": 297
            }
        },
        "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": 4218
        }
    },
    "target_crs": {
        "type": "GeographicCRS",
        "name": "MAGNA-SIRGAS",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "Marco Geocentrico Nacional de Referencia",
            "ellipsoid": {
                "name": "GRS 1980",
                "semi_major_axis": 6378137,
                "inverse_flattening": 298.257222101
            }
        },
        "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": 4686
        }
    },
    "method": {
        "name": "Molodensky-Badekas (CF geog2D domain)",
        "id": {
            "authority": "EPSG",
            "code": 9636
        }
    },
    "parameters": [
        {
            "name": "X-axis translation",
            "value": 306.666,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8605
            }
        },
        {
            "name": "Y-axis translation",
            "value": 315.063,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8606
            }
        },
        {
            "name": "Z-axis translation",
            "value": -318.837,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8607
            }
        },
        {
            "name": "X-axis rotation",
            "value": -7.992173e-05,
            "unit": {
                "type": "AngularUnit",
                "name": "radian",
                "conversion_factor": 1
            },
            "id": {
                "authority": "EPSG",
                "code": 8608
            }
        },
        {
            "name": "Y-axis rotation",
            "value": -8.090698e-06,
            "unit": {
                "type": "AngularUnit",
                "name": "radian",
                "conversion_factor": 1
            },
            "id": {
                "authority": "EPSG",
                "code": 8609
            }
        },
        {
            "name": "Z-axis rotation",
            "value": 0.0001051699,
            "unit": {
                "type": "AngularUnit",
                "name": "radian",
                "conversion_factor": 1
            },
            "id": {
                "authority": "EPSG",
                "code": 8610
            }
        },
        {
            "name": "Scale difference",
            "value": -13.89912,
            "unit": {
                "type": "ScaleUnit",
                "name": "parts per million",
                "conversion_factor": 1e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8611
            }
        },
        {
            "name": "Ordinate 1 of evaluation point",
            "value": 1845222.398,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8617
            }
        },
        {
            "name": "Ordinate 2 of evaluation point",
            "value": -6058604.495,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8618
            }
        },
        {
            "name": "Ordinate 3 of evaluation point",
            "value": 769132.398,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8667
            }
        }
    ],
    "accuracy": "1.0",
    "scope": "Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.",
    "area": "Colombia - region IV - between 5°N and 9°24'N and between 74°24'W and 72°W.",
    "bbox": {
        "south_latitude": 5,
        "west_longitude": -74.4,
        "north_latitude": 9.4,
        "east_longitude": -71.99
    },
    "id": {
        "authority": "EPSG",
        "code": 15733
    },
    "remarks": "Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (4), tfm code 15720."
}

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=intl"
	"step"
	"proj=molobadekas"
	"x=306.666"
	"y=315.063"
	"z=-318.837"
	"rx=-16.4850401533828"
	"ry=-1.66882625537377"
	"rz=21.6928490465265"
	"s=-13.89912"
	"px=1845222.398"
	"py=-6058604.495"
	"pz=769132.398"
	"convention=coordinate_frame"
	"step"
	"inv"
	"proj=cart"
	"ellps=GRS80"
	"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=intl +step +proj=molobadekas +x=306.666 +y=315.063 +z=-318.837 +rx=-16.4850401533828 +ry=-1.66882625537377 +rz=21.6928490465265 +s=-13.89912 +px=1845222.398 +py=-6058604.495 +pz=769132.398 +convention=coordinate_frame +step +inv +proj=cart +ellps=GRS80 +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=intl +step +proj=molobadekas +x=306.666 +y=315.063 +z=-318.837 +rx=-16.4850401533828 +ry=-1.66882625537377 +rz=21.6928490465265 +s=-13.89912 +px=1845222.398 +py=-6058604.495 +pz=769132.398 +convention=coordinate_frame +step +inv +proj=cart +ellps=GRS80 +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 ( 15733, 'EPSG', 15733, '+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=intl +step +proj=molobadekas +x=306.666 +y=315.063 +z=-318.837 +rx=-16.4850401533828 +ry=-1.66882625537377 +rz=21.6928490465265 +s=-13.89912 +px=1845222.398 +py=-6058604.495 +pz=769132.398 +convention=coordinate_frame +step +inv +proj=cart +ellps=GRS80 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1', 'None');