projected
PEI Department of Transportation & Public Works
2000-10-19
true
true
http://www.opengis.net/def/crs/EPSG/0/2291
NAD83(CSRS98) / Prince Edward Isl. Stereographic (NAD83)
Deprecated due to error in source geogCRS.
Canada - Prince Edward Island.
-64.49
-61.9
45.9
47.09
OGP
2014-05-01
false
false
http://www.opengis.net/def/area/EPSG/0/1533
Canada - Prince Edward Island
Large and medium scale topographic mapping and engineering survey.
conversion
PEI Department of Transportation & Public Works; Mr. Serge Bernard
2000-10-19
true
false
47
15
N
63
W
http://www.opengis.net/def/coordinateOperation/EPSG/0/19960
Prince Edward Isl. Stereographic (NAD83)
False Easting and False Northing changed from values used with ATS77 (which were FE=700000m; FN=400000m) to these new values when used with NAD83 (CSRS). New values are FE=400000m; FN=800000m; adopted in 2000.
Canada - Prince Edward Island.
-64.49
-61.9
45.9
47.09
OGP
2014-05-01
false
false
http://www.opengis.net/def/area/EPSG/0/1533
Canada - Prince Edward Island
Large and medium scale topographic mapping and engineering survey.
ISO 1000.
1995-06-02
false
http://www.opengis.net/def/uom/EPSG/0/9001
metre
Also known as International metre. SI standard unit.
length
0
EPSG guidance note #7-2, http://www.epsg.org
2006-03-31
false
true
For Projected Coordinate System RD / Netherlands New
Parameters:
Ellipsoid Bessel 1841 a = 6377397.155 m 1/f = 299.15281
then e = 0.08169683
Latitude Natural Origin 52°09'22.178"N = 0.910296727 rad
Longitude Natural Origin 5°23'15.500"E = 0.094032038 rad
Scale factor k0 0.9999079
False Eastings FE 155000.00 m
False Northings FN 463000.00 m
Forward calculation for:
Latitude 53°N = 0.925024504 rad
Longitude 6°E = 0.104719755 rad
first gives the conformal sphere constants:
rho0 = 6374588.71 nu0 = 6390710.613
R = 6382644.571 n = 1.000475857 c = 1.007576465
where S1 = 8.509582274 S2 = 0.878790173 w1 = 8.428769183
sin chi0 = 0.787883237
w = 8.492629457 chi0 = 0.909684757 D0 = d0
for the point chi = 0.924394997 D = 0.104724841
hence B = 1.999870665 N = 557057.739 E = 196105.283
reverse calculation for the same Easting and Northing first gives:
g = 4379954.188 h = 37197327.96 i = 0.001102255 j = 0.008488122
then D = 0.10472467 Longitude = 0.104719584 rad = 6 deg E
chi = 0.924394767 psi = 1.089495123
phi1 = 0.921804948 psi1 = 1.084170164
phi2 = 0.925031162 psi2 = 1.089506925
phi3 = 0.925024504 psi3 = 1.089495505
phi4 = 0.925024504
Then Latitude = 53°00'00.000"N
Longitude = 6°00'00.000"E
http://www.opengis.net/def/method/EPSG/0/9809
Oblique Stereographic
This is not the same as the projection method of the same name in USGS Professional Paper no. 1395, "Map Projections - A Working Manual" by John P. Snyder.
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.
Given the geodetic origin of the projection at the tangent point (lat0, lon0), the parameters defining the conformal sphere are:
R= sqrt( rho0 * nu0)
n= {1 + [e^2 * cos^4(latC) / (1 - e^2)]}^0.5
c= [(n+sin(lat0)) (1-sin(chi0))]/[(n-sin(lat0)) (1+sin(chi0))]
where:
sin(chi0) = (w1-1)/(w1+1)
w1 = (S1.(S2)^e)^n
S1 = (1+sin(lat0))/(1-sin(lat0))
S2 = (1-e sin(lat0))/(1+e sin(lat0))
The conformal latitude and longitude (chi0,lambda0) of the origin are then computed from :
chi0 = asin[(w2-1)/(w2+1)]
where S1 and S2 are as above and w2 = c (S1(S2)^e)^n
lambda0 = lon0
For any point with geodetic coordinates (lat, lon) the equivalent conformal latitude and longitude (chi, lambda) are computed from
lambda = n(lon-lambda0) + lambda0
chi = asin[(w-1)/(w+1)]
where w = c (Sa (Sb)^e)^n
Sa = (1+sin(lat))/(1-sin(lat))
Sb = (1-e.sin(lat))/(1+e.sin(lat))
Then B = [1+sin(chi) sin(chi0) + cos(chi) cos(chi0) cos(lambda-lambda0)]
N = FN + 2 R k0 [sin(chi) cos(chi0) - cos(chi) sin(chi0) cos(lambda-lambda0)] / B
E = FE + 2 R k0 cos(chi) sin(lambda-lambda0) / B
The reverse formulae to compute the geodetic coordinates from the grid coordinates involves computing the conformal values, then the isometric latitude and finally the geodetic values.
The parameters of the conformal sphere and conformal latitude and longitude at the origin are computed as above. Then for any point with Stereographic grid coordinates (E,N) :
chi = chi0 + 2 atan[{(N-FN)-(E-FE) tan (j/2)} / (2 R k0)]
lambda = j + 2 i + lambda0
where g = 2 R k0 tan(pi/4 - chi0/2)
h = 4 R k0 tan(chi0) + g
i = atan[(E-FE) / {h+(N-FN)}]
j = atan[(E-FE) / (g-(N-FN)] - i
Geodetic longitude lon = (lambda-lambda0 ) / n + lambda0
Isometric latitude psi = 0.5 ln [(1+ sin(chi)) / { c (1- sin(chi))}] / n
First approximation lat1 = 2 atan(e^psi) - pi/2 where e=base of natural logarithms.
psii = isometric latitude at lati
where psii= ln[{tan(lati/2 + pi/4} {(1-e sin(lati))/(1+e sin(lati))}^(e/2)]
Then iterate lat(i+1) = lati - ( psii - psi ) cos(lati) (1 -e^2 sin^2(lati)) / (1 - e^2)
until the change in lat is sufficiently small.
For Oblique Stereographic projections centred on points in the southern hemisphere, the signs of E, N, lon0, lon, must be reversed to be used in the equations and lat will be negative anyway as a southerly latitude.
An alternative approach is given by Snyder, where, instead of defining a single conformal sphere at the origin point, the conformal latitude at each point on the ellipsoid is computed. The conformal longitude is then always equivalent to the geodetic longitude. This approach is a valid alternative to the above, but gives slightly different results away from the origin point. It is therefore considered by EPSG to be a different coordinate operation method to that described above.
2
2
47.25
EPSG guidance note number 7.
1999-09-09
false
The latitude of the point from which the values of both the geographical coordinates on the ellipsoid and the grid coordinates on the projection are deemed to increment or decrement for computational purposes. Alternatively it may be considered as the latitude of the point which in the absence of application of false coordinates has grid coordinates of (0,0).
http://www.opengis.net/def/parameter/EPSG/0/8801
Latitude of natural origin
-63
Abbeviated as "CM".
Abbreviation for "Central Meridian".
EPSG guidance note number 7.
2002-06-22
false
The longitude of the point from which the values of both the geographical coordinates on the ellipsoid and the grid coordinates on the projection are deemed to increment or decrement for computational purposes. Alternatively it may be considered as the longitude of the point which in the absence of application of false coordinates has grid coordinates of (0,0). Sometimes known as "central meridian (CM)".
http://www.opengis.net/def/parameter/EPSG/0/8802
Longitude of natural origin
0.999912
EPSG guidance note number 7.
1999-09-09
false
The factor by which the map grid is reduced or enlarged during the projection process, defined by its value at the natural origin.
http://www.opengis.net/def/parameter/EPSG/0/8805
Scale factor at natural origin
400000
This alias applies only in the case of projection methods which have an axis positive west, e.g. Transverse Mercator (South Orientated).
EPSG guidance note number 7.
2002-07-31
false
Since the natural origin may be at or near the centre of the projection and under normal coordinate circumstances would thus give rise to negative coordinates over parts of the mapped area, this origin is usually given false coordinates which are large enough to avoid this inconvenience. The False Easting, FE, is the value assigned to the abscissa (east or west) axis of the projection grid at the natural origin.
http://www.opengis.net/def/parameter/EPSG/0/8806
False easting
800000
This alias applies only in the case of projection methods which have an axis positive south, e.g. Transverse Mercator (South Orientated).
EPSG guidance note number 7.
2002-07-31
false
Since the natural origin may be at or near the centre of the projection and under normal coordinate circumstances would thus give rise to negative coordinates over parts of the mapped area, this origin is usually given false coordinates which are large enough to avoid this inconvenience. The False Northing, FN, is the value assigned to the ordinate (north or south) axis of the projection grid at the natural origin.
http://www.opengis.net/def/parameter/EPSG/0/8807
False northing
geographic 2D
New Brunswick Geographic Information Corporation land and water information standards manual.
2004-01-06
true
false
http://www.opengis.net/def/crs/EPSG/0/4122
ATS77
In use from 1979. To be phased out in late 1990's.
Canada - New Brunswick; Nova Scotia; Prince Edward Island.
-69.05
-59.73
43.41
48.07
OGP
2014-05-01
false
false
http://www.opengis.net/def/area/EPSG/0/1283
Canada - Maritime Provinces
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
New Brunswick Geographic Information Corporation land and water information standards manual.
1997-07-02
false
http://www.opengis.net/def/datum/EPSG/0/6122
Average Terrestrial System 1977
In use from 1979. To be phased out in late 1990's.
Topographic mapping.
1977-01-01
Cartesian
OGP
2001-04-29
false
http://www.opengis.net/def/cs/EPSG/0/4496
Cartesian 2D CS. Axes: easting, northing [E(X),N(Y)]. Orientations: east, north. UoM: m.
Used in projected and engineering coordinate reference systems.
http://www.opengis.net/def/axis/EPSG/0/35
E(X)
east
http://www.opengis.net/def/axis/EPSG/0/36
N(Y)
north