EPSG:3078

NAD83 / Michigan Oblique Mercator

Available transformations
to EPSG:4326
EPSG:4326 - WGS 84

Selected transformation

Method: NTv2

Grid Files: NA83SCRS.GSB

Remarks: Parameter file is from NAD83 to NAD83(CSRS)v2 (1) (code 9241) assuming that NAD83(CSRS)v2 is equivalent to WGS 84 within the accuracy of the transformation. Also distributed with file name NAD83-98.gsb.

Information source: OGP

Revision date: 2021-09-10

Attributes

Unit: metre

Geodetic CRS: NAD83

Datum: North American Datum 1983

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: 2004-06-16

Scope: State-wide spatial data management.

Remarks: For applications with an accuracy of better than 1m, replaced by NAD83(HARN) / 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 / Michigan Oblique Mercator",
    GEOGCS["NAD83",
        DATUM["North_American_Datum_1983",
            SPHEROID["GRS 1980",6378137,298.257222101],
            EXTENSION["PROJ4_GRIDS","NA83SCRS.GSB"]],
        PRIMEM["Greenwich",0,
            AUTHORITY["EPSG","8901"]],
        UNIT["degree",0.0174532925199433,
            AUTHORITY["EPSG","9122"]],
        AUTHORITY["EPSG","4269"]],
    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","3078"]]

Definition: OGC Well Known Text 2 (2019)

BOUNDCRS[
    SOURCECRS[
        PROJCRS["NAD83 / Michigan Oblique Mercator",
            BASEGEOGCRS["NAD83",
                DATUM["North American Datum 1983",
                    ELLIPSOID["GRS 1980",6378137,298.257222101,
                        LENGTHUNIT["metre",1]]],
                PRIMEM["Greenwich",0,
                    ANGLEUNIT["degree",0.0174532925199433]],
                ID["EPSG",4269]],
            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",3078]]],
    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["NAD83 to WGS 84 (6)",
        METHOD["NTv2",
            ID["EPSG",9615]],
        PARAMETERFILE["Latitude and longitude difference file","NA83SCRS.GSB"],
        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["Canada - Quebec."],
            BBOX[44.99,-79.85,62.62,-57.1]],
        ID["EPSG",1696],
        REMARK["Parameter file is from NAD83 to NAD83(CSRS)v2 (1) (code 9241) assuming that NAD83(CSRS)v2 is equivalent to WGS 84 within the accuracy of the transformation. Also distributed with file name NAD83-98.gsb."]]]

Definition: ESRI Well Known Text

PROJCS["NAD_1983_Michigan_GeoRef_Meters",
    GEOGCS["GCS_North_American_1983",
        DATUM["D_North_American_1983",
            SPHEROID["GRS_1980",6378137.0,298.257222101],
            EXTENSION["PROJ4_GRIDS","NA83SCRS.GSB"]],
        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 +nadgrids=NA83SCRS.GSB +units=m +no_defs +type=crs

Definition: JavaScript (Proj4js) 

proj4.defs("EPSG:3078","+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 +nadgrids=NA83SCRS.GSB +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 / Michigan Oblique Mercator",
        "base_crs": {
            "name": "NAD83",
            "datum": {
                "type": "GeodeticReferenceFrame",
                "name": "North American Datum 1983",
                "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": 4269
            }
        },
        "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": 3078
        }
    },
    "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": "NAD83 to WGS 84 (6)",
        "method": {
            "name": "NTv2",
            "id": {
                "authority": "EPSG",
                "code": 9615
            }
        },
        "parameters": [
            {
                "name": "Latitude and longitude difference file",
                "value": "NA83SCRS.GSB",
                "id": {
                    "authority": "EPSG",
                    "code": 8656
                }
            }
        ],
        "id": {
            "authority": "EPSG",
            "code": 1696
        }
    }
}

Definition: GeoServer

3078=PROJCS["NAD83 / Michigan Oblique Mercator",GEOGCS["NAD83",DATUM["North_American_Datum_1983",SPHEROID["GRS 1980",6378137,298.257222101],EXTENSION["PROJ4_GRIDS","NA83SCRS.GSB"]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4269"]],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","3078"]]

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"
	"nadgrids=NA83SCRS.GSB"
	"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 +nadgrids=NA83SCRS.GSB +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 +nadgrids=NA83SCRS.GSB +units=m +no_defs +type=crs">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 3078, 'EPSG', 3078, '+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 +nadgrids=NA83SCRS.GSB +units=m +no_defs +type=crs', 'PROJCS["NAD83 / Michigan Oblique Mercator",GEOGCS["NAD83",DATUM["North_American_Datum_1983",SPHEROID["GRS 1980",6378137,298.257222101],EXTENSION["PROJ4_GRIDS","NA83SCRS.GSB"]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4269"]],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","3078"]]');