projected
National Geodetic Survey publication 65-1 part 52.
2013-05-16
true
false
http://www.opengis.net/def/crs/EPSG/0/6202
NAD27 / Michigan South
This and NAD27 / Michigan Central (CRS code 6201) replace NAD27 / Michigan Old Central and East zones (CRS codes 5623-24).
United States (USA) - Michigan - counties of Allegan; Barry; Bay; Berrien; Branch; Calhoun; Cass; Clinton; Eaton; Genesee; Gratiot; Hillsdale; Huron; Ingham; Ionia; Isabella; Jackson; Kalamazoo; Kent; Lapeer; Lenawee; Livingston; Macomb; Mecosta; Midland; Monroe; Montcalm; Muskegon; Newaygo; Oakland; Oceana; Ottawa; Saginaw; Sanilac; Shiawassee; St Clair; St Joseph; Tuscola; Van Buren; Washtenaw; Wayne.
-87.2
-82.13
41.69
44.22
OGP
2014-05-01
false
false
http://www.opengis.net/def/area/EPSG/0/1725
USA - Michigan - SPCS - S
Large and medium scale topographic mapping and engineering survey.
conversion
This alias is ambiguous as also used for SPCS83 projection.
National Geodetic Survey publication 65-1 part 52.
2013-05-16
true
false
41
30
N
84
20
W
42
6
N
43
40
N
http://www.opengis.net/def/coordinateOperation/EPSG/0/6199
Michigan CS27 South zone
United States (USA) - Michigan - counties of Allegan; Barry; Bay; Berrien; Branch; Calhoun; Cass; Clinton; Eaton; Genesee; Gratiot; Hillsdale; Huron; Ingham; Ionia; Isabella; Jackson; Kalamazoo; Kent; Lapeer; Lenawee; Livingston; Macomb; Mecosta; Midland; Monroe; Montcalm; Muskegon; Newaygo; Oakland; Oceana; Ottawa; Saginaw; Sanilac; Shiawassee; St Clair; St Joseph; Tuscola; Van Buren; Washtenaw; Wayne.
-87.2
-82.13
41.69
44.22
OGP
2014-05-01
false
false
http://www.opengis.net/def/area/EPSG/0/1725
USA - Michigan - SPCS - S
Used for large and medium scale topographic mapping and engineering survey.
EPSG guidance note #7-2, http://www.epsg.org
2013-05-17
true
false
true
For Projected Coordinate System NAD27 / Michigan Central
Parameters:
Ellipsoid Clarke 1866, a = 6378206.400 metres = 20925832.16 US survey feet
1/f = 294.97870
then e = 0.08227185 and e^2 = 0.00676866
First Standard Parallel = 44°11'00"N = 0.771144641 rad
Second Standard Parallel = 45°42'00"N = 0.797615468 rad
Latitude False Origin = 43°19'00"N = 0.756018454 rad
Longitude False Origin = 84°20'00"W = -1.471894336 rad
Easting at false origin = 2000000.00 US survey feet
Northing at false origin = 0.00 US survey feet
Ellipsoid scaling factor = 1.0000382
Forward calculation for:
Latitude = 43°45'00.00"N = 0.763581548 rad
Longitude = 83°10'00.00"W = -1.451532161 rad
first gives :
m1 = 0.718295175 m2 = 0.699629151
t = 0.429057680 tF = 0.433541026
t1 = 0.424588396 t2 = 0.409053868
n = 0.706407410 F = 1.862317735
r = 21436775.51 rF = 21594768.40
theta = 0.014383991
Then Easting X = 2308335.75 US survey feet
Northing Y = 160210.48 US survey feet
Reverse calculation for same easting and northing first gives:
theta' = 0.014383991 r' = 21436775.51
t' = 0.429057680
Then Latitude = 43°45'00.000"N
Longitude = 83°10'00.000"W
http://www.opengis.net/def/method/EPSG/0/1051
Lambert Conic Conformal (2SP Michigan)
Note: These formulas have been transcribed from EPSG Guidance Note #7-2. Users are encouraged to use that document rather than the text which follows as reference because limitations in the transcription will be avoided.
To derive the projected Easting and Northing coordinates of a point with geographical coordinates (lat,lon) the formulas for the one standard parallel case are:
E = EF + r sin(theta)
N = NF + rF - r cos(theta)
where
m = cos(lat)/(1 - e^2 sin^2(lat))^0.5 for m1, lat1, and m2, lat2 where lat1 and lat2 are the latitudes of the standard parallels.
t = tan(pi/4 - lat/2)/[(1 - e sin(lat))/(1 + e sin(lat))]^(e/2) for t1, t2, tF and t using lat1, lat2, latF and lat respectively.
n = (loge(m1) - loge(m2))/(loge(t1) - loge(t2))
F = m1/(n t1^n)
r = a K F t^n for rF and r, where rF is the radius of the parallel of latitude of the false origin and K is the ellipsoid scaling factor.
theta = n(lon - lon0)
The reverse formulas to derive the latitude and longitude of a point from its Easting and Northing values are:
lat = pi/2 - 2arctan{t'[(1 - esin(lat))/(1 + esin(lat))]^(e/2)}
lon = theta'/n +lon0
where
r' = +/-[(E - EF)^2 + {rF - (N - NF)}^2]^0.5 , taking the sign of n
t' = (r'/(aKF))^(1/n)
theta' = arctan [(E- EF)/(rF - (N- NF))]
and n, F, and rF are derived as for the forward calculation.
41.5
EPSG guidance note number 7.
1999-09-09
false
The latitude of the point which is not the natural origin and at which grid coordinate values false easting and false northing are defined.
http://www.opengis.net/def/parameter/EPSG/0/8821
Latitude of false origin
-84.333333333333
EPSG guidance note number 7.
1999-09-09
false
The longitude of the point which is not the natural origin and at which grid coordinate values false easting and false northing are defined.
http://www.opengis.net/def/parameter/EPSG/0/8822
Longitude of false origin
42.1
EPSG guidance note number 7.
2009-06-02
true
false
For a conic projection with two standard parallels, this is the latitude of one of the parallels of intersection of the cone with the ellipsoid. It is normally but not necessarily that nearest to the pole. Scale is true along this parallel.
http://www.opengis.net/def/parameter/EPSG/0/8823
Latitude of 1st standard parallel
43.666666666667
EPSG guidance note number 7.
2009-06-02
true
false
For a conic projection with two standard parallels, this is the latitude of one of the parallels at which the cone intersects with the ellipsoid. It is normally but not necessarily that nearest to the equator. Scale is true along this parallel.
http://www.opengis.net/def/parameter/EPSG/0/8824
Latitude of 2nd standard parallel
2000000
EPSG guidance note number 7.
1999-09-09
false
The easting value assigned to the false origin.
http://www.opengis.net/def/parameter/EPSG/0/8826
Easting at false origin
0
EPSG guidance note number 7.
1999-09-09
false
The northing value assigned to the false origin.
http://www.opengis.net/def/parameter/EPSG/0/8827
Northing at false origin
1.0000382
EPSG guidance note number 7-2 (May 2013 Revision)
2013-05-15
true
false
Ratio by which the ellipsoid is enlarged so that survey observations are reduced to a surface above the ellipsoid surface.
http://www.opengis.net/def/parameter/EPSG/0/1038
Ellipsoid scaling factor
Used in Michigan to create State Plane grids at a height of 800 ft above sea level, the approximate average elevation of the State.
geographic 2D
2014-05-20
true
false
http://www.opengis.net/def/crs/EPSG/0/4267
NAD27
Note: this CRS includes longitudes which are POSITIVE EAST. Replaced by NAD27(76) (code 4608) in Ontario, CGQ77 (code 4609) in Quebec, Mexican Datum of 1993 (code 4483) in Mexico, NAD83 (code 4279) in Canada (excl. Ontario & Quebec) & USA.
North and central America: Antigua and Barbuda. Bahamas. Belize. British Virgin Islands. Canada - Alberta; British Columbia; Manitoba; New Brunswick; Newfoundland and Labrador; Northwest Territories; Nova Scotia; Nunavut; Ontario; Prince Edward Island; Quebec; Saskatchewan; Yukon. Cuba. El Salvador. Guatemala. Honduras. Puerto Rico. Mexico. Nicaragua. United States (USA) - 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. US Virgin Islands. Usage shall be onshore only except that onshore and offshore shall apply to Canada east coast (New Brunswick; Newfoundland and Labrador; Prince Edward Island; Quebec). Cuba. Mexico (Gulf of Mexico and Caribbean coasts only). USA Alaska. USA Gulf of Mexico (Alabama; Florida; Louisiana; Mississippi; Texas). USA East Coast. Bahamas onshore plus offshore over internal continental shelf only.
167.65
-47.74
7.98
83.17
OGP
2014-05-01
false
false
http://www.opengis.net/def/area/EPSG/0/1349
North America - NAD27
Area crosses 180-degree meridian.
Geodetic survey.
ellipsoidal
OGP
2008-06-23
false
http://www.opengis.net/def/cs/EPSG/0/6422
Ellipsoidal 2D CS. Axes: latitude, longitude. Orientations: north, east. UoM: degree
Coordinates referenced to this CS are in degrees. Any degree representation (e.g. DMSH, decimal, etc.) may be used but that used must be declared for the user by the supplier of data. Used in geographic 2D coordinate reference systems.
http://www.opengis.net/def/axis/EPSG/0/106
Lat
north
http://www.opengis.net/def/axis/EPSG/0/107
Long
east
geodetic
2009-11-24
true
false
http://www.opengis.net/def/datum/EPSG/0/6267
North American Datum 1927
In United States (USA) and Canada, replaced by North American Datum 1983 (NAD83) (code 6269) ; in Mexico, replaced by Mexican Datum of 1993 (code 1042).
Topographic mapping.
Fundamental point: Meade's Ranch. Latitude: 39°13'26.686"N, longitude: 98°32'30.506"W (of Greenwich).
1927-01-01
Cartesian
OGP
2001-04-29
false
http://www.opengis.net/def/cs/EPSG/0/4497
Cartesian 2D CS. Axes: easting, northing (X,Y). Orientations: east, north. UoM: ftUS.
Used in projected and engineering coordinate reference systems.
http://www.opengis.net/def/axis/EPSG/0/37
X
east
http://www.opengis.net/def/axis/EPSG/0/38
Y
north