EPSG:3078

NAD83 / Michigan Oblique Mercator

Available transformations
to EPSG:5703
EPSG:5703 - NAVD88 height

Selected transformation

Method: Geographic3D to GravityRelatedHeight (gtx)

Grid Files: g2003u04.bin

Remarks: Uses Geoid03 hybrid model. See information source for further information. Note: Source CRS is 2D, used in this application of the method as a pseudo-3D CRS.

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

Revision date: 2015-11-25

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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SimpleMap

Center coordinates
1580774.53 497558.78

Projected bounds:
1102869.56 81463.53
2103413.16 943363.63

WGS84 bounds:
-78.0 41.0
-66.91 47.47

United States (USA) - CONUS onshore north of 41°N and east of 78°W - Connecticut, Maine, Massachusetts, New Hampshire, Rhode Island and Vermont; New Jersey north of 41°N; New York and Pennsylvania north of 41°N and east of 78°W.
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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[
        VERTCRS["NAVD88 height",
            VDATUM["North American Vertical Datum 1988"],
            CS[vertical,1],
                AXIS["gravity-related height (H)",up,
                    LENGTHUNIT["metre",1]],
            USAGE[
                SCOPE["Geodesy, engineering survey, topographic mapping."],
                AREA["Mexico - onshore. United States (USA) - CONUS and Alaska - onshore - Alabama; Alaska; Arizona; Arkansas; California; Colorado; Connecticut; Delaware; Florida; Georgia; 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; Wyoming."],
                BBOX[14.51,172.42,71.4,-66.91]],
            ID["EPSG",5703]]],
    ABRIDGEDTRANSFORMATION["NAD83 to NAVD88 height (4)",
        METHOD["Geographic3D to GravityRelatedHeight (gtx)",
            ID["EPSG",9665]],
        PARAMETERFILE["Geoid (height correction) model file","g2003u04.bin"],
        USAGE[
            SCOPE["Derivation of approximate gravity-related heights from GNSS observations."],
            AREA["United States (USA) - CONUS onshore north of 41°N and east of 78°W - Connecticut, Maine, Massachusetts, New Hampshire, Rhode Island and Vermont; New Jersey north of 41°N; New York and Pennsylvania north of 41°N and east of 78°W."],
            BBOX[41,-78,47.47,-66.91]],
        ID["EPSG",10016],
        REMARK["Uses Geoid03 hybrid model. See information source for further information. Note: Source CRS is 2D, used in this application of the method as a pseudo-3D CRS."]]]

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": "VerticalCRS",
        "name": "NAVD88 height",
        "datum": {
            "type": "VerticalReferenceFrame",
            "name": "North American Vertical Datum 1988"
        },
        "coordinate_system": {
            "subtype": "vertical",
            "axis": [
                {
                    "name": "Gravity-related height",
                    "abbreviation": "H",
                    "direction": "up",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 5703
        }
    },
    "transformation": {
        "name": "NAD83 to NAVD88 height (4)",
        "method": {
            "name": "Geographic3D to GravityRelatedHeight (gtx)",
            "id": {
                "authority": "EPSG",
                "code": 9665
            }
        },
        "parameters": [
            {
                "name": "Geoid (height correction) model file",
                "value": "g2003u04.bin",
                "id": {
                    "authority": "EPSG",
                    "code": 8666
                }
            }
        ],
        "id": {
            "authority": "EPSG",
            "code": 10016
        }
    }
}

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>