EPSG systems

EPSG:3078 NAD83 / Michigan Oblique Mercator

Projected system (Hotine Oblique Mercator (variant A)) in use: USA - Michigan. The full definition below, and conversion in one click.

System record
CodeEPSG:3078
NameNAD83 / Michigan Oblique Mercator
TypeProjected system — Hotine Oblique Mercator (variant A)
Area of use USA - Michigan
United States (USA) - Michigan.
Bounds W -90,42° · S 41,69° · E -82,13° · N 48,32°
Countries United States
DatumNorth American Datum 1983
Ellipsoid GRS 1980 a = 6378137 m · 1/f = 298.257222101
Base geographic system EPSG:4269 — NAD83
Unit metre (X east, Y north)
Transformation to WGS 84 NAD83 to WGS 84 (1) (EPSG:1188) — accuracy 4 m
ScopeState-wide spatial data management.

Projection parameters

ParameterValueUnit
Latitude of projection centre45.30916666666666degree
Longitude of projection centre-86degree
Azimuth at projection centre337.25556degree
Angle from Rectified to Skew Grid337.25556degree
Scale factor at projection centre0.9996unity
False easting2546731.496metre
False northing-4354009.816metre

proj4 definition

+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 +a=6378137 +rf=298.257222101 +units=m +towgs84=0,0,0 +no_defs

Paste it into QGIS, proj4js, PostGIS (spatial_ref_sys) or GDAL. +towgs84 carries the EPSG transformation to WGS 84; the official code stays EPSG:3078.

WKT (ESRI format, the .prj content)

PROJCS["NAD_1983_Michigan_GeoRef_Meters",GEOGCS["GCS_North_American_1983",DATUM["D_North_American_1983",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]]

All systems — United States

Source: EPSG registry v11.022 (IOGP), through the PROJ database. Always check a code on epsg.org before contractual work.