EPSG:8438

Macao 1920 to WGS 84 (1)

Attributes

Geodetic CRS: Macao 1920

Datum: Macao 1920

Ellipsoid: International 1924

Prime meridian: Greenwich

Data source: EPSG

Information source: IOGP

Revision date: 2021-09-23

Scope: (null/copy) Approximation for medium and low accuracy applications assuming equality between plate-fixed static and earth-fixed dynamic CRSs, ignoring static/dynamic CRS differences.

Remarks: Derived from Macao 2008 to Macao 1920 (1) (code 8435) (reversed) assuming that Macao 2008 is equivalent to WGS 84 within the accuracy of the transformation. Some parameter values differ in the reverse due to the high rotations.

Method: Molodensky-Badekas (CF geog2D domain)

Area of use: China - Macao - onshore and offshore.

Description: (-202.865, -303.99, -155.873, -34.079, 76.126, 32.66, 6.096)

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Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["Macao 1920 to WGS 84 (1)",
    VERSION["EPSG-Mac"],
    SOURCECRS[
        GEOGCRS["Macao 1920",
            DATUM["Macao 1920",
                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",8428]]],
    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["Molodensky-Badekas (CF geog2D domain)",
        ID["EPSG",9636]],
    PARAMETER["X-axis translation",-202.865,
        LENGTHUNIT["metre",1],
        ID["EPSG",8605]],
    PARAMETER["Y-axis translation",-303.99,
        LENGTHUNIT["metre",1],
        ID["EPSG",8606]],
    PARAMETER["Z-axis translation",-155.873,
        LENGTHUNIT["metre",1],
        ID["EPSG",8607]],
    PARAMETER["X-axis rotation",-34.079,
        ANGLEUNIT["arc-second",4.84813681109536E-06],
        ID["EPSG",8608]],
    PARAMETER["Y-axis rotation",76.126,
        ANGLEUNIT["arc-second",4.84813681109536E-06],
        ID["EPSG",8609]],
    PARAMETER["Z-axis rotation",32.66,
        ANGLEUNIT["arc-second",4.84813681109536E-06],
        ID["EPSG",8610]],
    PARAMETER["Scale difference",6.096,
        SCALEUNIT["parts per million",1E-06],
        ID["EPSG",8611]],
    PARAMETER["Ordinate 1 of evaluation point",-2361554.788,
        LENGTHUNIT["metre",1],
        ID["EPSG",8617]],
    PARAMETER["Ordinate 2 of evaluation point",5417536.177,
        LENGTHUNIT["metre",1],
        ID["EPSG",8618]],
    PARAMETER["Ordinate 3 of evaluation point",2391608.926,
        LENGTHUNIT["metre",1],
        ID["EPSG",8667]],
    OPERATIONACCURACY[1.0],
    USAGE[
        SCOPE["(null/copy) Approximation for medium and low accuracy applications assuming equality between plate-fixed static and earth-fixed dynamic CRSs, ignoring static/dynamic CRS differences."],
        AREA["China - Macao - onshore and offshore."],
        BBOX[22.06,113.52,22.23,113.68]],
    ID["EPSG",8438],
    REMARK["Derived from Macao 2008 to Macao 1920 (1) (code 8435) (reversed) assuming that Macao 2008 is equivalent to WGS 84 within the accuracy of the transformation. Some parameter values differ in the reverse due to the high rotations."]]

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=-202.865 +y=-303.99 +z=-155.873 +rx=-34.079 +ry=76.126 +rz=32.66 +s=6.096 +px=-2361554.788 +py=5417536.177 +pz=2391608.926 +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:8438","+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=-202.865 +y=-303.99 +z=-155.873 +rx=-34.079 +ry=76.126 +rz=32.66 +s=6.096 +px=-2361554.788 +py=5417536.177 +pz=2391608.926 +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": "Macao 1920 to WGS 84 (1)",
    "source_crs": {
        "type": "GeographicCRS",
        "name": "Macao 1920",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "Macao 1920",
            "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": 8428
        }
    },
    "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": "Molodensky-Badekas (CF geog2D domain)",
        "id": {
            "authority": "EPSG",
            "code": 9636
        }
    },
    "parameters": [
        {
            "name": "X-axis translation",
            "value": -202.865,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8605
            }
        },
        {
            "name": "Y-axis translation",
            "value": -303.99,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8606
            }
        },
        {
            "name": "Z-axis translation",
            "value": -155.873,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8607
            }
        },
        {
            "name": "X-axis rotation",
            "value": -34.079,
            "unit": {
                "type": "AngularUnit",
                "name": "arc-second",
                "conversion_factor": 4.84813681109536e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8608
            }
        },
        {
            "name": "Y-axis rotation",
            "value": 76.126,
            "unit": {
                "type": "AngularUnit",
                "name": "arc-second",
                "conversion_factor": 4.84813681109536e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8609
            }
        },
        {
            "name": "Z-axis rotation",
            "value": 32.66,
            "unit": {
                "type": "AngularUnit",
                "name": "arc-second",
                "conversion_factor": 4.84813681109536e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8610
            }
        },
        {
            "name": "Scale difference",
            "value": 6.096,
            "unit": {
                "type": "ScaleUnit",
                "name": "parts per million",
                "conversion_factor": 1e-06
            },
            "id": {
                "authority": "EPSG",
                "code": 8611
            }
        },
        {
            "name": "Ordinate 1 of evaluation point",
            "value": -2361554.788,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8617
            }
        },
        {
            "name": "Ordinate 2 of evaluation point",
            "value": 5417536.177,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8618
            }
        },
        {
            "name": "Ordinate 3 of evaluation point",
            "value": 2391608.926,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8667
            }
        }
    ],
    "accuracy": "1.0",
    "scope": "(null/copy) Approximation for medium and low accuracy applications assuming equality between plate-fixed static and earth-fixed dynamic CRSs, ignoring static/dynamic CRS differences.",
    "area": "China - Macao - onshore and offshore.",
    "bbox": {
        "south_latitude": 22.06,
        "west_longitude": 113.52,
        "north_latitude": 22.23,
        "east_longitude": 113.68
    },
    "id": {
        "authority": "EPSG",
        "code": 8438
    },
    "remarks": "Derived from Macao 2008 to Macao 1920 (1) (code 8435) (reversed) assuming that Macao 2008 is equivalent to WGS 84 within the accuracy of the transformation. Some parameter values differ in the reverse due to the high rotations."
}

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=-202.865"
	"y=-303.99"
	"z=-155.873"
	"rx=-34.079"
	"ry=76.126"
	"rz=32.66"
	"s=6.096"
	"px=-2361554.788"
	"py=5417536.177"
	"pz=2391608.926"
	"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=intl +step +proj=molobadekas +x=-202.865 +y=-303.99 +z=-155.873 +rx=-34.079 +ry=76.126 +rz=32.66 +s=6.096 +px=-2361554.788 +py=5417536.177 +pz=2391608.926 +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=intl +step +proj=molobadekas +x=-202.865 +y=-303.99 +z=-155.873 +rx=-34.079 +ry=76.126 +rz=32.66 +s=6.096 +px=-2361554.788 +py=5417536.177 +pz=2391608.926 +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 ( 8438, 'EPSG', 8438, '+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=-202.865 +y=-303.99 +z=-155.873 +rx=-34.079 +ry=76.126 +rz=32.66 +s=6.096 +px=-2361554.788 +py=5417536.177 +pz=2391608.926 +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');