EPSG:1946

NAD83(CSRS) to WGS 84 (2)

Attributes

Geodetic CRS: NAD83(CSRS)

Datum: NAD83 Canadian Spatial Reference System

Ellipsoid: GRS 1980

Prime meridian: Greenwich

Data source: EPSG

Information source: "Realization and Unification of NAD83 in Canada and the U.S. via the ITRF" by Cramer et al, IAG Proceedings, Section II, Munich, October 5-9, 1998; revised 11 March 1999.

Revision date: 2021-09-08

Scope: Approximation for medium and low accuracy applications ignoring static/dynamic CRS differences.

Remarks: Approximation derived from tfm code 6864 ignoring time-dependent parameters and assuming ITRF96(1997.0) and WGS 84 can be considered the same within the accuracy of the transformation.

Method: Coordinate Frame rotation (geog2D domain)

Area of use: Canada - onshore and offshore - Alberta; British Columbia; Manitoba; New Brunswick; Newfoundland and Labrador; Northwest Territories; Nova Scotia; Nunavut; Ontario; Prince Edward Island; Quebec; Saskatchewan; Yukon.

Description: (-0.991, 1.9072, 0.5129, -1.25033e-07, -4.6785e-08, -5.6529e-08, 0.0)

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Definition: OGC Well Known Text 2 (2019)

COORDINATEOPERATION["NAD83(CSRS) to WGS 84 (2)",
    VERSION["NGS-Usa ITRF96"],
    SOURCECRS[
        GEOGCRS["NAD83(CSRS)",
            DATUM["NAD83 Canadian Spatial Reference System",
                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",4617]]],
    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["Coordinate Frame rotation (geog2D domain)",
        ID["EPSG",9607]],
    PARAMETER["X-axis translation",-0.991,
        LENGTHUNIT["metre",1],
        ID["EPSG",8605]],
    PARAMETER["Y-axis translation",1.9072,
        LENGTHUNIT["metre",1],
        ID["EPSG",8606]],
    PARAMETER["Z-axis translation",0.5129,
        LENGTHUNIT["metre",1],
        ID["EPSG",8607]],
    PARAMETER["X-axis rotation",-1.25033E-07,
        ANGLEUNIT["radian",1],
        ID["EPSG",8608]],
    PARAMETER["Y-axis rotation",-4.6785E-08,
        ANGLEUNIT["radian",1],
        ID["EPSG",8609]],
    PARAMETER["Z-axis rotation",-5.6529E-08,
        ANGLEUNIT["radian",1],
        ID["EPSG",8610]],
    PARAMETER["Scale difference",0,
        SCALEUNIT["parts per million",1E-06],
        ID["EPSG",8611]],
    OPERATIONACCURACY[1.0],
    USAGE[
        SCOPE["Approximation for medium and low accuracy applications ignoring static/dynamic CRS differences."],
        AREA["Canada - onshore and offshore - Alberta; British Columbia; Manitoba; New Brunswick; Newfoundland and Labrador; Northwest Territories; Nova Scotia; Nunavut; Ontario; Prince Edward Island; Quebec; Saskatchewan; Yukon."],
        BBOX[38.21,-141.01,86.46,-40.73]],
    ID["EPSG",1946],
    REMARK["Approximation derived from tfm code 6864 ignoring time-dependent parameters and assuming ITRF96(1997.0) and WGS 84 can be considered the same within the accuracy of the transformation."]]

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=GRS80 +step +proj=helmert +x=-0.991 +y=1.9072 +z=0.5129 +rx=-0.0257899075194932 +ry=-0.0096500989602704 +rz=-0.0116599432323421 +s=0 +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:1946","+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=GRS80 +step +proj=helmert +x=-0.991 +y=1.9072 +z=0.5129 +rx=-0.0257899075194932 +ry=-0.0096500989602704 +rz=-0.0116599432323421 +s=0 +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": "NAD83(CSRS) to WGS 84 (2)",
    "source_crs": {
        "type": "GeographicCRS",
        "name": "NAD83(CSRS)",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "NAD83 Canadian Spatial Reference System",
            "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": 4617
        }
    },
    "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": "Coordinate Frame rotation (geog2D domain)",
        "id": {
            "authority": "EPSG",
            "code": 9607
        }
    },
    "parameters": [
        {
            "name": "X-axis translation",
            "value": -0.991,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8605
            }
        },
        {
            "name": "Y-axis translation",
            "value": 1.9072,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8606
            }
        },
        {
            "name": "Z-axis translation",
            "value": 0.5129,
            "unit": "metre",
            "id": {
                "authority": "EPSG",
                "code": 8607
            }
        },
        {
            "name": "X-axis rotation",
            "value": -1.25033e-07,
            "unit": {
                "type": "AngularUnit",
                "name": "radian",
                "conversion_factor": 1
            },
            "id": {
                "authority": "EPSG",
                "code": 8608
            }
        },
        {
            "name": "Y-axis rotation",
            "value": -4.6785e-08,
            "unit": {
                "type": "AngularUnit",
                "name": "radian",
                "conversion_factor": 1
            },
            "id": {
                "authority": "EPSG",
                "code": 8609
            }
        },
        {
            "name": "Z-axis rotation",
            "value": -5.6529e-08,
            "unit": {
                "type": "AngularUnit",
                "name": "radian",
                "conversion_factor": 1
            },
            "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
            }
        }
    ],
    "accuracy": "1.0",
    "scope": "Approximation for medium and low accuracy applications ignoring static/dynamic CRS differences.",
    "area": "Canada - onshore and offshore - Alberta; British Columbia; Manitoba; New Brunswick; Newfoundland and Labrador; Northwest Territories; Nova Scotia; Nunavut; Ontario; Prince Edward Island; Quebec; Saskatchewan; Yukon.",
    "bbox": {
        "south_latitude": 38.21,
        "west_longitude": -141.01,
        "north_latitude": 86.46,
        "east_longitude": -40.73
    },
    "id": {
        "authority": "EPSG",
        "code": 1946
    },
    "remarks": "Approximation derived from tfm code 6864 ignoring time-dependent parameters and assuming ITRF96(1997.0) and WGS 84 can be considered the same within the accuracy of the transformation."
}

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=GRS80"
	"step"
	"proj=helmert"
	"x=-0.991"
	"y=1.9072"
	"z=0.5129"
	"rx=-0.0257899075194932"
	"ry=-0.0096500989602704"
	"rz=-0.0116599432323421"
	"s=0"
	"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=GRS80 +step +proj=helmert +x=-0.991 +y=1.9072 +z=0.5129 +rx=-0.0257899075194932 +ry=-0.0096500989602704 +rz=-0.0116599432323421 +s=0 +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=GRS80 +step +proj=helmert +x=-0.991 +y=1.9072 +z=0.5129 +rx=-0.0257899075194932 +ry=-0.0096500989602704 +rz=-0.0116599432323421 +s=0 +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 ( 1946, 'EPSG', 1946, '+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=GRS80 +step +proj=helmert +x=-0.991 +y=1.9072 +z=0.5129 +rx=-0.0257899075194932 +ry=-0.0096500989602704 +rz=-0.0116599432323421 +s=0 +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');