EPSG:9311

NAD27 / US National Atlas Equal Area

Selected transformation

Grid Files: conus.las conus.los

Remarks: For use with legacy data - see CT code 9104 for alternative for new areas. Note that steps 1 and 2 are documented in the geog2D domain, steps 3 and 4 in the geocentric domain. Steps 3 and 4 may be implemented in one operation using CT code 8970.

Information source: IOGP

Revision date: 2019-06-13

Attributes

Unit: metre

Geodetic CRS: NAD27

Datum: North American Datum 1927

Ellipsoid: Clarke 1866

Prime meridian: Greenwich

Data source: EPSG

Information source: United States Geological Survey, Western Geographic Science Center

Revision date: 2020-03-26

Scope: Statistical analysis.

Remarks: Uses spherical projection formulas. USGS documentation describes sphere as derived from GRS80/WGS 84 ellipsoid but that actually used is Clarke 1866. For 1:1million and smaller scale maps there is no significant difference.

Area of use: United States (USA) - onshore and offshore.

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

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Definition: OGC Well Known Text 2 (2019)

BOUNDCRS[
    SOURCECRS[
        BOUNDCRS[
            SOURCECRS[
                BOUNDCRS[
                    SOURCECRS[
                        BOUNDCRS[
                            SOURCECRS[
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                                    BASEGEOGCRS["NAD27",
                                        DATUM["North American Datum 1927",
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                                                LENGTHUNIT["metre",1]]],
                                        PRIMEM["Greenwich",0,
                                            ANGLEUNIT["degree",0.0174532925199433]],
                                        ID["EPSG",4267]],
                                    CONVERSION["US National Atlas Equal Area",
                                        METHOD["Lambert Azimuthal Equal Area (Spherical)",
                                            ID["EPSG",1027]],
                                        PARAMETER["Latitude of natural origin",45,
                                            ANGLEUNIT["degree",0.0174532925199433],
                                            ID["EPSG",8801]],
                                        PARAMETER["Longitude of natural origin",-100,
                                            ANGLEUNIT["degree",0.0174532925199433],
                                            ID["EPSG",8802]],
                                        PARAMETER["False easting",0,
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                                            ID["EPSG",8806]],
                                        PARAMETER["False northing",0,
                                            LENGTHUNIT["metre",1],
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                                    CS[Cartesian,2],
                                        AXIS["easting (X)",east,
                                            ORDER[1],
                                            LENGTHUNIT["metre",1]],
                                        AXIS["northing (Y)",north,
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                                            LENGTHUNIT["metre",1]],
                                    ID["EPSG",9311]]],
                            TARGETCRS[
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                                        ELLIPSOID["GRS 1980",6378137,298.257222101,
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                                        AXIS["geodetic longitude (Lon)",east,
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                                            ANGLEUNIT["degree",0.0174532925199433]],
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                            ABRIDGEDTRANSFORMATION["NAD27 to NAD83 (1)",
                                METHOD["NADCON",
                                    ID["EPSG",9613]],
                                PARAMETERFILE["Latitude difference file","conus.las"],
                                PARAMETERFILE["Longitude difference file","conus.los"],
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                        PARAMETER["Y-axis translation",0,
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                        PARAMETER["Z-axis translation",0,
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                        AXIS["(Y)",geocentricY,
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                            LENGTHUNIT["metre",1]],
                        AXIS["(Z)",geocentricZ,
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                PARAMETER["X-axis translation",0.99343,
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                PARAMETER["Y-axis translation",-1.90331,
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                PARAMETER["Z-axis translation",-0.52655,
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                PARAMETER["X-axis rotation",0.02591467,
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                PARAMETER["Y-axis rotation",0.00942645,
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                PARAMETER["Z-axis rotation",0.01159935,
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                PARAMETER["Scale difference",1.71504,
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                PARAMETER["Rate of change of X-axis translation",2.50341244864579E-11,
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                PARAMETER["Rate of change of Y-axis translation",-1.90132591036389E-11,
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                PARAMETER["Rate of change of Z-axis translation",-4.24629453314602E-11,
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                PARAMETER["Rate of change of X-axis rotation",2.11268997406601E-12,
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                PARAMETER["Rate of change of Y-axis rotation",-2.40023382924337E-11,
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                PARAMETER["Rate of change of Z-axis rotation",-1.62658431631631E-12,
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                PARAMETER["Parameter reference epoch",1997,
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            DATUM["International Terrestrial Reference Frame 2014",
                ELLIPSOID["GRS 1980",6378137,298.257222101,
                    LENGTHUNIT["metre",1]]],
            PRIMEM["Greenwich",0,
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            CS[Cartesian,3],
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                    ORDER[1],
                    LENGTHUNIT["metre",1]],
                AXIS["(Y)",geocentricY,
                    ORDER[2],
                    LENGTHUNIT["metre",1]],
                AXIS["(Z)",geocentricZ,
                    ORDER[3],
                    LENGTHUNIT["metre",1]],
            USAGE[
                SCOPE["Geodesy."],
                AREA["World."],
                BBOX[-90,-180,90,180]],
            ID["EPSG",7789]]],
    ABRIDGEDTRANSFORMATION["ITRF2008 to ITRF2014 (1)",
        METHOD["Time-dependent Position Vector tfm (geocentric)",
            ID["EPSG",1053]],
        PARAMETER["X-axis translation",-0.0016,
            ID["EPSG",8605]],
        PARAMETER["Y-axis translation",-0.0019,
            ID["EPSG",8606]],
        PARAMETER["Z-axis translation",-0.0024,
            ID["EPSG",8607]],
        PARAMETER["X-axis rotation",0,
            ID["EPSG",8608]],
        PARAMETER["Y-axis rotation",0,
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        PARAMETER["Z-axis rotation",0,
            ID["EPSG",8610]],
        PARAMETER["Scale difference",0.02,
            ID["EPSG",8611]],
        PARAMETER["Rate of change of X-axis translation",0,
            ID["EPSG",1040]],
        PARAMETER["Rate of change of Y-axis translation",0,
            ID["EPSG",1041]],
        PARAMETER["Rate of change of Z-axis translation",3.16887651727315E-12,
            ID["EPSG",1042]],
        PARAMETER["Rate of change of X-axis rotation",0,
            ID["EPSG",1043]],
        PARAMETER["Rate of change of Y-axis rotation",0,
            ID["EPSG",1044]],
        PARAMETER["Rate of change of Z-axis rotation",0,
            ID["EPSG",1045]],
        PARAMETER["Rate of change of Scale difference",-0.03,
            ID["EPSG",1046]],
        PARAMETER["Parameter reference epoch",2010,
            ID["EPSG",1047]],
        USAGE[
            SCOPE["Geodesy."],
            AREA["World."],
            BBOX[-90,-180,90,180]],
        ID["EPSG",7790],
        REMARK["Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m. Estimated using 127 stations at 125 sites."]]]

Definition: PROJ.4

+proj=laea +R_A +lat_0=45 +lon_0=-100 +x_0=0 +y_0=0 +datum=NAD27 +units=m +no_defs +type=crs

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:9311","+proj=laea +R_A +lat_0=45 +lon_0=-100 +x_0=0 +y_0=0 +datum=NAD27 +units=m +no_defs +type=crs");

Definition: JSON

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        "source_crs": {
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            "source_crs": {
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                "source_crs": {
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                    "base_crs": {
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                        "datum": {
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                            {
                                "name": "False northing",
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                    "id": {
                        "authority": "EPSG",
                        "code": 1045
                    }
                },
                {
                    "name": "Rate of change of Scale difference",
                    "value": -0.10201,
                    "unit": {
                        "type": "ScaleUnit",
                        "name": "parts per billion per year",
                        "conversion_factor": 3.16887651727315e-17
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 1046
                    }
                },
                {
                    "name": "Parameter reference epoch",
                    "value": 1997,
                    "unit": {
                        "type": "TimeUnit",
                        "name": "year",
                        "conversion_factor": 31556925.445
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 1047
                    }
                }
            ],
            "id": {
                "authority": "INVERSE(EPSG)",
                "code": 7807
            }
        }
    },
    "target_crs": {
        "type": "GeodeticCRS",
        "name": "ITRF2014",
        "datum": {
            "type": "DynamicGeodeticReferenceFrame",
            "name": "International Terrestrial Reference Frame 2014",
            "frame_reference_epoch": 2010,
            "ellipsoid": {
                "name": "GRS 1980",
                "semi_major_axis": 6378137,
                "inverse_flattening": 298.257222101
            }
        },
        "coordinate_system": {
            "subtype": "Cartesian",
            "axis": [
                {
                    "name": "Geocentric X",
                    "abbreviation": "X",
                    "direction": "geocentricX",
                    "unit": "metre"
                },
                {
                    "name": "Geocentric Y",
                    "abbreviation": "Y",
                    "direction": "geocentricY",
                    "unit": "metre"
                },
                {
                    "name": "Geocentric Z",
                    "abbreviation": "Z",
                    "direction": "geocentricZ",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 7789
        }
    },
    "transformation": {
        "name": "ITRF2008 to ITRF2014 (1)",
        "source_crs": {
            "type": "GeodeticCRS",
            "name": "ITRF2008",
            "datum": {
                "type": "DynamicGeodeticReferenceFrame",
                "name": "International Terrestrial Reference Frame 2008",
                "frame_reference_epoch": 2005,
                "ellipsoid": {
                    "name": "GRS 1980",
                    "semi_major_axis": 6378137,
                    "inverse_flattening": 298.257222101
                }
            },
            "coordinate_system": {
                "subtype": "Cartesian",
                "axis": [
                    {
                        "name": "Geocentric X",
                        "abbreviation": "X",
                        "direction": "geocentricX",
                        "unit": "metre"
                    },
                    {
                        "name": "Geocentric Y",
                        "abbreviation": "Y",
                        "direction": "geocentricY",
                        "unit": "metre"
                    },
                    {
                        "name": "Geocentric Z",
                        "abbreviation": "Z",
                        "direction": "geocentricZ",
                        "unit": "metre"
                    }
                ]
            },
            "id": {
                "authority": "EPSG",
                "code": 5332
            }
        },
        "method": {
            "name": "Time-dependent Position Vector tfm (geocentric)",
            "id": {
                "authority": "EPSG",
                "code": 1053
            }
        },
        "parameters": [
            {
                "name": "X-axis translation",
                "value": -1.6,
                "unit": {
                    "type": "LinearUnit",
                    "name": "millimetre",
                    "conversion_factor": 0.001
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8605
                }
            },
            {
                "name": "Y-axis translation",
                "value": -1.9,
                "unit": {
                    "type": "LinearUnit",
                    "name": "millimetre",
                    "conversion_factor": 0.001
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8606
                }
            },
            {
                "name": "Z-axis translation",
                "value": -2.4,
                "unit": {
                    "type": "LinearUnit",
                    "name": "millimetre",
                    "conversion_factor": 0.001
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8607
                }
            },
            {
                "name": "X-axis rotation",
                "value": 0,
                "unit": {
                    "type": "AngularUnit",
                    "name": "milliarc-second",
                    "conversion_factor": 4.84813681109536e-09
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8608
                }
            },
            {
                "name": "Y-axis rotation",
                "value": 0,
                "unit": {
                    "type": "AngularUnit",
                    "name": "milliarc-second",
                    "conversion_factor": 4.84813681109536e-09
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8609
                }
            },
            {
                "name": "Z-axis rotation",
                "value": 0,
                "unit": {
                    "type": "AngularUnit",
                    "name": "milliarc-second",
                    "conversion_factor": 4.84813681109536e-09
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8610
                }
            },
            {
                "name": "Scale difference",
                "value": 0.02,
                "unit": {
                    "type": "ScaleUnit",
                    "name": "parts per billion",
                    "conversion_factor": 1e-09
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8611
                }
            },
            {
                "name": "Rate of change of X-axis translation",
                "value": 0,
                "unit": {
                    "type": "LinearUnit",
                    "name": "millimetres per year",
                    "conversion_factor": 3.16887651727315e-11
                },
                "id": {
                    "authority": "EPSG",
                    "code": 1040
                }
            },
            {
                "name": "Rate of change of Y-axis translation",
                "value": 0,
                "unit": {
                    "type": "LinearUnit",
                    "name": "millimetres per year",
                    "conversion_factor": 3.16887651727315e-11
                },
                "id": {
                    "authority": "EPSG",
                    "code": 1041
                }
            },
            {
                "name": "Rate of change of Z-axis translation",
                "value": 0.1,
                "unit": {
                    "type": "LinearUnit",
                    "name": "millimetres per year",
                    "conversion_factor": 3.16887651727315e-11
                },
                "id": {
                    "authority": "EPSG",
                    "code": 1042
                }
            },
            {
                "name": "Rate of change of X-axis rotation",
                "value": 0,
                "unit": {
                    "type": "AngularUnit",
                    "name": "milliarc-seconds per year",
                    "conversion_factor": 1.53631468932076e-16
                },
                "id": {
                    "authority": "EPSG",
                    "code": 1043
                }
            },
            {
                "name": "Rate of change of Y-axis rotation",
                "value": 0,
                "unit": {
                    "type": "AngularUnit",
                    "name": "milliarc-seconds per year",
                    "conversion_factor": 1.53631468932076e-16
                },
                "id": {
                    "authority": "EPSG",
                    "code": 1044
                }
            },
            {
                "name": "Rate of change of Z-axis rotation",
                "value": 0,
                "unit": {
                    "type": "AngularUnit",
                    "name": "milliarc-seconds per year",
                    "conversion_factor": 1.53631468932076e-16
                },
                "id": {
                    "authority": "EPSG",
                    "code": 1045
                }
            },
            {
                "name": "Rate of change of Scale difference",
                "value": -0.03,
                "unit": {
                    "type": "ScaleUnit",
                    "name": "parts per billion per year",
                    "conversion_factor": 3.16887651727315e-17
                },
                "id": {
                    "authority": "EPSG",
                    "code": 1046
                }
            },
            {
                "name": "Parameter reference epoch",
                "value": 2010,
                "unit": {
                    "type": "TimeUnit",
                    "name": "year",
                    "conversion_factor": 31556925.445
                },
                "id": {
                    "authority": "EPSG",
                    "code": 1047
                }
            }
        ],
        "id": {
            "authority": "EPSG",
            "code": 7790
        }
    }
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=laea"
	"R_A"
	"lat_0=45"
	"lon_0=-100"
	"x_0=0"
	"y_0=0"
	"datum=NAD27"
	"units=m"
	"no_defs"
	"type=crs"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=laea +R_A +lat_0=45 +lon_0=-100 +x_0=0 +y_0=0 +datum=NAD27 +units=m +no_defs +type=crs">
	<Layer srs="+proj=laea +R_A +lat_0=45 +lon_0=-100 +x_0=0 +y_0=0 +datum=NAD27 +units=m +no_defs +type=crs">
	</Layer>
</Map>