EPSG:3078

NAD83 / Michigan Oblique Mercator

Available transformations
to EPSG:4152

Selected transformation

Method: NADCON5 (2D)

Grid Files: nadcon5.nad83_1986.nad83_1993.prvi.lat.trn.20160901.b nadcon5.nad83_1986.nad83_1993.prvi.lon.trn.20160901.b

Remarks: Uses NADCON5 method which expects longitudes positive east in range 0-360°; EPSG source and target CRSs have longitudes positive east in range -180° to +180°.

Information source: National Geodetic Survey, www.ngs.noaa.gov

Revision date: 2019-09-17

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 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["NAD83(HARN)",
            DATUM["NAD83 (High Accuracy Reference Network)",
                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]],
            USAGE[
                SCOPE["Horizontal component of 3D system."],
                AREA["American Samoa - onshore - Tutuila, Aunu'u, Ofu, Olesega, Ta'u and Rose islands. Guam - onshore. Northern Mariana Islands - onshore. Puerto Rico - onshore. United States (USA) - onshore Alabama, Alaska, Arizona, Arkansas, California, Colorado, Connecticut, Delaware, Florida, Georgia, Hawaii, Idaho, Illinois, Indiana, Iowa, Kansas, Kentucky, Louisiana, Maine, Maryland, Massachusetts, Michigan, Minnesota, Mississippi, Missouri, Montana, Nebraska, Nevada, New Hampshire, New Jersey, New Mexico, New York, North Carolina, North Dakota, Ohio, Oklahoma, Oregon, Pennsylvania, Rhode Island, South Carolina, South Dakota, Tennessee, Texas, Utah, Vermont, Virginia, Washington, West Virginia, Wisconsin and Wyoming; offshore Gulf of Mexico continental shelf (GoM OCS). US Virgin Islands - onshore."],
                BBOX[-14.59,144.58,71.4,-64.51]],
            ID["EPSG",4152]]],
    ABRIDGEDTRANSFORMATION["NAD83 to NAD83(HARN) (50)",
        METHOD["NADCON5 (2D)",
            ID["EPSG",1074]],
        PARAMETERFILE["Latitude difference file","nadcon5.nad83_1986.nad83_1993.prvi.lat.trn.20160901.b"],
        PARAMETERFILE["Longitude difference file","nadcon5.nad83_1986.nad83_1993.prvi.lon.trn.20160901.b"],
        USAGE[
            SCOPE["Geodesy."],
            AREA["Puerto Rico and US Virgin Islands - onshore."],
            BBOX[17.62,-67.97,18.57,-64.51]],
        ID["EPSG",8669],
        REMARK["Uses NADCON5 method which expects longitudes positive east in range 0-360°; EPSG source and target CRSs have longitudes positive east in range -180° to +180°."]]]

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 +datum=NAD83 +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 +datum=NAD83 +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": "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
        }
    },
    "transformation": {
        "name": "NAD83 to NAD83(HARN) (50)",
        "method": {
            "name": "NADCON5 (2D)",
            "id": {
                "authority": "EPSG",
                "code": 1074
            }
        },
        "parameters": [
            {
                "name": "Latitude difference file",
                "value": "nadcon5.nad83_1986.nad83_1993.prvi.lat.trn.20160901.b",
                "id": {
                    "authority": "EPSG",
                    "code": 8657
                }
            },
            {
                "name": "Longitude difference file",
                "value": "nadcon5.nad83_1986.nad83_1993.prvi.lon.trn.20160901.b",
                "id": {
                    "authority": "EPSG",
                    "code": 8658
                }
            }
        ],
        "id": {
            "authority": "EPSG",
            "code": 8669
        }
    }
}

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"
	"datum=NAD83"
	"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 +datum=NAD83 +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 +datum=NAD83 +units=m +no_defs +type=crs">
	</Layer>
</Map>