EPSG:3079

NAD83(HARN) / Michigan Oblique Mercator

Selected transformation

Method: Coordinate Frame rotation (geog2D domain)

Remarks: Approximation derived ignoring time-dependent parameters and assuming ITRF94(1996.0) and WGS 84, plus NAD83(CORS94) and NAD83(HARN), can be considered the same within the accuracy of the transformation. Replaced by NAD83(HARN) to WGS 84 (3) (code 1901).

Information source: US National Geodetic Survey http://www.ngs.noaa.gov/CORS/Derivation.html

Revision date: 2021-09-08

Attributes

Unit: metre

Geodetic CRS: NAD83(HARN)

Datum: NAD83 (High Accuracy Reference Network)

Ellipsoid: GRS 1980

Prime meridian: Greenwich

Data source: EPSG

Information source: Michigan Department of Natural Resources, http://www.michigan.gov/documents/DNR_Map_Proj_and_MI_Georef_Info_20889_7.pdf

Revision date: 2007-04-20

Scope: State-wide spatial data management.

Remarks: Replaces NAD83 / Michigan Oblique Mercator for applications with an accuracy of better than 1m. Replaced by NAD83(NSRS2007) / Michigan Oblique Mercator.

Area of use: United States (USA) - Michigan.

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

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Definition: OGC Well Known Text

PROJCS["NAD83(HARN) / Michigan Oblique Mercator",
    GEOGCS["NAD83(HARN)",
        DATUM["NAD83_High_Accuracy_Reference_Network",
            SPHEROID["GRS 1980",6378137,298.257222101],
            TOWGS84[-0.9738,1.9453,0.5486,-1.3357E-07,-4.872E-08,-5.507E-08,0]],
        PRIMEM["Greenwich",0,
            AUTHORITY["EPSG","8901"]],
        UNIT["degree",0.0174532925199433,
            AUTHORITY["EPSG","9122"]],
        AUTHORITY["EPSG","4152"]],
    PROJECTION["Hotine_Oblique_Mercator"],
    PARAMETER["latitude_of_center",45.3091666666667],
    PARAMETER["longitude_of_center",-86],
    PARAMETER["azimuth",337.25556],
    PARAMETER["rectified_grid_angle",337.25556],
    PARAMETER["scale_factor",0.9996],
    PARAMETER["false_easting",2546731.496],
    PARAMETER["false_northing",-4354009.816],
    UNIT["metre",1,
        AUTHORITY["EPSG","9001"]],
    AXIS["Easting",EAST],
    AXIS["Northing",NORTH],
    AUTHORITY["EPSG","3079"]]

Definition: OGC Well Known Text 2 (2019)

BOUNDCRS[
    SOURCECRS[
        PROJCRS["NAD83(HARN) / Michigan Oblique Mercator",
            BASEGEOGCRS["NAD83(HARN)",
                DATUM["NAD83 (High Accuracy Reference Network)",
                    ELLIPSOID["GRS 1980",6378137,298.257222101,
                        LENGTHUNIT["metre",1]]],
                PRIMEM["Greenwich",0,
                    ANGLEUNIT["degree",0.0174532925199433]],
                ID["EPSG",4152]],
            CONVERSION["Michigan Oblique Mercator (meter)",
                METHOD["Hotine Oblique Mercator (variant A)",
                    ID["EPSG",9812]],
                PARAMETER["Latitude of projection centre",45.3091666666667,
                    ANGLEUNIT["degree",0.0174532925199433],
                    ID["EPSG",8811]],
                PARAMETER["Longitude of projection centre",-86,
                    ANGLEUNIT["degree",0.0174532925199433],
                    ID["EPSG",8812]],
                PARAMETER["Azimuth of initial line",337.25556,
                    ANGLEUNIT["degree",0.0174532925199433],
                    ID["EPSG",8813]],
                PARAMETER["Angle from Rectified to Skew Grid",337.25556,
                    ANGLEUNIT["degree",0.0174532925199433],
                    ID["EPSG",8814]],
                PARAMETER["Scale factor on initial line",0.9996,
                    SCALEUNIT["unity",1],
                    ID["EPSG",8815]],
                PARAMETER["False easting",2546731.496,
                    LENGTHUNIT["metre",1],
                    ID["EPSG",8806]],
                PARAMETER["False northing",-4354009.816,
                    LENGTHUNIT["metre",1],
                    ID["EPSG",8807]]],
            CS[Cartesian,2],
                AXIS["easting (X)",east,
                    ORDER[1],
                    LENGTHUNIT["metre",1]],
                AXIS["northing (Y)",north,
                    ORDER[2],
                    LENGTHUNIT["metre",1]],
            USAGE[
                SCOPE["State-wide spatial data management."],
                AREA["United States (USA) - Michigan."],
                BBOX[41.69,-90.42,48.32,-82.13]],
            ID["EPSG",3079]]],
    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]],
            USAGE[
                SCOPE["Horizontal component of 3D system."],
                AREA["World."],
                BBOX[-90,-180,90,180]],
            ID["EPSG",4326]]],
    ABRIDGEDTRANSFORMATION["Transformation from unknown to WGS84",
        METHOD["Position Vector transformation (geog2D domain)",
            ID["EPSG",9606]],
        PARAMETER["X-axis translation",-0.9738,
            ID["EPSG",8605]],
        PARAMETER["Y-axis translation",1.9453,
            ID["EPSG",8606]],
        PARAMETER["Z-axis translation",0.5486,
            ID["EPSG",8607]],
        PARAMETER["X-axis rotation",-1.3357E-07,
            ID["EPSG",8608]],
        PARAMETER["Y-axis rotation",-4.872E-08,
            ID["EPSG",8609]],
        PARAMETER["Z-axis rotation",-5.507E-08,
            ID["EPSG",8610]],
        PARAMETER["Scale difference",1,
            ID["EPSG",8611]]]]

Definition: ESRI Well Known Text

PROJCS["NAD_1983_HARN_Michigan_GeoRef_Meters",
    GEOGCS["GCS_North_American_1983_HARN",
        DATUM["D_North_American_1983_HARN",
            SPHEROID["GRS_1980",6378137.0,298.257222101]],
        PRIMEM["Greenwich",0.0],
        UNIT["Degree",0.0174532925199433]],
    PROJECTION["Hotine_Oblique_Mercator_Azimuth_Natural_Origin"],
    PARAMETER["False_Easting",2546731.496],
    PARAMETER["False_Northing",-4354009.816],
    PARAMETER["Scale_Factor",0.9996],
    PARAMETER["Azimuth",-22.74444],
    PARAMETER["Longitude_Of_Center",-86.0],
    PARAMETER["Latitude_Of_Center",45.3091666666667],
    UNIT["Meter",1.0]]

Definition: PROJ.4

+proj=omerc +no_uoff +lat_0=45.3091666666667 +lonc=-86 +alpha=337.25556 +gamma=337.25556 +k=0.9996 +x_0=2546731.496 +y_0=-4354009.816 +ellps=GRS80 +towgs84=-0.9738,1.9453,0.5486,-1.3357e-07,-4.872e-08,-5.507e-08,0 +units=m +no_defs +type=crs

Definition: JavaScript (Proj4js)

proj4.defs("EPSG:3079","+proj=omerc +no_uoff +lat_0=45.3091666666667 +lonc=-86 +alpha=337.25556 +gamma=337.25556 +k=0.9996 +x_0=2546731.496 +y_0=-4354009.816 +ellps=GRS80 +towgs84=-0.9738,1.9453,0.5486,-1.3357e-07,-4.872e-08,-5.507e-08,0 +units=m +no_defs +type=crs");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json",
    "type": "BoundCRS",
    "source_crs": {
        "type": "ProjectedCRS",
        "name": "NAD83(HARN) / Michigan Oblique Mercator",
        "base_crs": {
            "name": "NAD83(HARN)",
            "datum": {
                "type": "GeodeticReferenceFrame",
                "name": "NAD83 (High Accuracy Reference Network)",
                "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": 4152
            }
        },
        "conversion": {
            "name": "Michigan Oblique Mercator (meter)",
            "method": {
                "name": "Hotine Oblique Mercator (variant A)",
                "id": {
                    "authority": "EPSG",
                    "code": 9812
                }
            },
            "parameters": [
                {
                    "name": "Latitude of projection centre",
                    "value": 45.3091666666667,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8811
                    }
                },
                {
                    "name": "Longitude of projection centre",
                    "value": -86,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8812
                    }
                },
                {
                    "name": "Azimuth of initial line",
                    "value": 337.25556,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8813
                    }
                },
                {
                    "name": "Angle from Rectified to Skew Grid",
                    "value": 337.25556,
                    "unit": "degree",
                    "id": {
                        "authority": "EPSG",
                        "code": 8814
                    }
                },
                {
                    "name": "Scale factor on initial line",
                    "value": 0.9996,
                    "unit": "unity",
                    "id": {
                        "authority": "EPSG",
                        "code": 8815
                    }
                },
                {
                    "name": "False easting",
                    "value": 2546731.496,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8806
                    }
                },
                {
                    "name": "False northing",
                    "value": -4354009.816,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8807
                    }
                }
            ]
        },
        "coordinate_system": {
            "subtype": "Cartesian",
            "axis": [
                {
                    "name": "Easting",
                    "abbreviation": "X",
                    "direction": "east",
                    "unit": "metre"
                },
                {
                    "name": "Northing",
                    "abbreviation": "Y",
                    "direction": "north",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 3079
        }
    },
    "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
        }
    },
    "transformation": {
        "name": "Transformation from unknown to WGS84",
        "method": {
            "name": "Position Vector transformation (geog2D domain)",
            "id": {
                "authority": "EPSG",
                "code": 9606
            }
        },
        "parameters": [
            {
                "name": "X-axis translation",
                "value": -0.9738,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8605
                }
            },
            {
                "name": "Y-axis translation",
                "value": 1.9453,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8606
                }
            },
            {
                "name": "Z-axis translation",
                "value": 0.5486,
                "unit": "metre",
                "id": {
                    "authority": "EPSG",
                    "code": 8607
                }
            },
            {
                "name": "X-axis rotation",
                "value": -1.3357e-07,
                "unit": {
                    "type": "AngularUnit",
                    "name": "arc-second",
                    "conversion_factor": 4.84813681109536e-06
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8608
                }
            },
            {
                "name": "Y-axis rotation",
                "value": -4.872e-08,
                "unit": {
                    "type": "AngularUnit",
                    "name": "arc-second",
                    "conversion_factor": 4.84813681109536e-06
                },
                "id": {
                    "authority": "EPSG",
                    "code": 8609
                }
            },
            {
                "name": "Z-axis rotation",
                "value": -5.507e-08,
                "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
                }
            }
        ]
    }
}

Definition: GeoServer

3079=PROJCS["NAD83(HARN) / Michigan Oblique Mercator",GEOGCS["NAD83(HARN)",DATUM["NAD83_High_Accuracy_Reference_Network",SPHEROID["GRS 1980",6378137,298.257222101],TOWGS84[-0.9738,1.9453,0.5486,-1.3357E-07,-4.872E-08,-5.507E-08,0]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4152"]],PROJECTION["Hotine_Oblique_Mercator"],PARAMETER["latitude_of_center",45.3091666666667],PARAMETER["longitude_of_center",-86],PARAMETER["azimuth",337.25556],PARAMETER["rectified_grid_angle",337.25556],PARAMETER["scale_factor",0.9996],PARAMETER["false_easting",2546731.496],PARAMETER["false_northing",-4354009.816],UNIT["metre",1,AUTHORITY["EPSG","9001"]],AXIS["Easting",EAST],AXIS["Northing",NORTH],AUTHORITY["EPSG","3079"]]

Definition: MapServer - MAPfile

PROJECTION
	"proj=omerc"
	"no_uoff"
	"lat_0=45.3091666666667"
	"lonc=-86"
	"alpha=337.25556"
	"gamma=337.25556"
	"k=0.9996"
	"x_0=2546731.496"
	"y_0=-4354009.816"
	"ellps=GRS80"
	"towgs84=-0.9738,1.9453,0.5486,-1.3357e-07,-4.872e-08,-5.507e-08,0"
	"units=m"
	"no_defs"
	"type=crs"
END

Definition: Mapnik

<?xml version="1.0" encoding="utf-8"?>
<Map srs="+proj=omerc +no_uoff +lat_0=45.3091666666667 +lonc=-86 +alpha=337.25556 +gamma=337.25556 +k=0.9996 +x_0=2546731.496 +y_0=-4354009.816 +ellps=GRS80 +towgs84=-0.9738,1.9453,0.5486,-1.3357e-07,-4.872e-08,-5.507e-08,0 +units=m +no_defs +type=crs">
	<Layer srs="+proj=omerc +no_uoff +lat_0=45.3091666666667 +lonc=-86 +alpha=337.25556 +gamma=337.25556 +k=0.9996 +x_0=2546731.496 +y_0=-4354009.816 +ellps=GRS80 +towgs84=-0.9738,1.9453,0.5486,-1.3357e-07,-4.872e-08,-5.507e-08,0 +units=m +no_defs +type=crs">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 3079, 'EPSG', 3079, '+proj=omerc +no_uoff +lat_0=45.3091666666667 +lonc=-86 +alpha=337.25556 +gamma=337.25556 +k=0.9996 +x_0=2546731.496 +y_0=-4354009.816 +ellps=GRS80 +towgs84=-0.9738,1.9453,0.5486,-1.3357e-07,-4.872e-08,-5.507e-08,0 +units=m +no_defs +type=crs', 'PROJCS["NAD83(HARN) / Michigan Oblique Mercator",GEOGCS["NAD83(HARN)",DATUM["NAD83_High_Accuracy_Reference_Network",SPHEROID["GRS 1980",6378137,298.257222101],TOWGS84[-0.9738,1.9453,0.5486,-1.3357E-07,-4.872E-08,-5.507E-08,0]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4152"]],PROJECTION["Hotine_Oblique_Mercator"],PARAMETER["latitude_of_center",45.3091666666667],PARAMETER["longitude_of_center",-86],PARAMETER["azimuth",337.25556],PARAMETER["rectified_grid_angle",337.25556],PARAMETER["scale_factor",0.9996],PARAMETER["false_easting",2546731.496],PARAMETER["false_northing",-4354009.816],UNIT["metre",1,AUTHORITY["EPSG","9001"]],AXIS["Easting",EAST],AXIS["Northing",NORTH],AUTHORITY["EPSG","3079"]]');