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February 1996
Appendix A:
Projection Transformation Package Projection Parameters
-----------------------------------------------------------------------------
| Array Element |
Code & Projection Id |----------------------------------------------------
| 1 | 2 | 3 | 4 | 5 | 6 |7 | 8|
-----------------------------------------------------------------------------
0 Geographic | | | | | | | | |
1 U T M |Lon/Z |Lat/Z | | | | | | |
2 State Plane | | | | | | | | |
3 Albers Equal Area |SMajor|SMinor|STDPR1|STDPR2|CentMer|OriginLat|FE|FN|
4 Lambert Conformal C |SMajor|SMinor|STDPR1|STDPR2|CentMer|OriginLat|FE|FN|
5 Mercator |SMajor|SMinor| | |CentMer|TrueScale|FE|FN|
6 Polar Stereographic |SMajor|SMinor| | |LongPol|TrueScale|FE|FN|
7 Polyconic |SMajor|SMinor| | |CentMer|OriginLat|FE|FN|
8 Equid. Conic A |SMajor|SMinor|STDPAR| |CentMer|OriginLat|FE|FN|
Equid. Conic B |SMajor|SMinor|STDPR1|STDPR2|CentMer|OriginLat|FE|FN|
9 Transverse Mercator |SMajor|SMinor|Factor| |CentMer|OriginLat|FE|FN|
10 Stereographic |Sphere| | | |CentLon|CenterLat|FE|FN|
11 Lambert Azimuthal |Sphere| | | |CentLon|CenterLat|FE|FN|
12 Azimuthal |Sphere| | | |CentLon|CenterLat|FE|FN|
13 Gnomonic |Sphere| | | |CentLon|CenterLat|FE|FN|
14 Orthographic |Sphere| | | |CentLon|CenterLat|FE|FN|
15 Gen. Vert. Near Per |Sphere| |Height| |CentLon|CenterLat|FE|FN|
16 Sinusoidal |Sphere| | | |CentMer| |FE|FN|
17 Equirectangular |Sphere| | | |CentMer|TrueScale|FE|FN|
18 Miller Cylindrical |Sphere| | | |CentMer| |FE|FN|
19 Van der Grinten |Sphere| | | |CentMer|OriginLat|FE|FN|
20 Hotin Oblique Merc A |SMajor|SMinor|Factor| | |OriginLat|FE|FN|
Hotin Oblique Merc B |SMajor|SMinor|Factor|AziAng|AzmthPt|OriginLat|FE|FN|
21 Robinson |Sphere| | | |CentMer| |FE|FN|
22 Space Oblique Merc A |SMajor|SMinor| |IncAng|AscLong| |FE|FN|
Space Oblique Merc B |SMajor|SMinor|Satnum|Path | | |FE|FN|
23 Alaska Conformal |SMajor|SMinor| | | | |FE|FN|
24 Interrupted Goode |Sphere| | | | | | | |
25 Mollweide |Sphere| | | |CentMer| |FE|FN|
26 Interrupt Mollweide |Sphere| | | | | | | |
27 Hammer |Sphere| | | |CentMer| |FE|FN|
28 Wagner IV |Sphere| | | |CentMer| |FE|FN|
29 Wagner VII |Sphere| | | |CentMer| |FE|FN|
30 Oblated Equal Area |Sphere| |Shapem|Shapen|CentLon|CenterLat|FE|FN|
-----------------------------------------------------------------------------
Array elements 9-15 Continued on page 2
1
Projection Transformation Package Projection Parameters elements 9-15
continued from page 1:
----------------------------------------------------
| Array Element |
Code & Projection Id |---------------------------
| 9 | 10 | 11 | 12 | 13 |
----------------------------------------------------
0 Geographic | | | | | |
1 U T M | | | | | |
2 State Plane | | | | | |
3 Albers Equal Area | | | | | |
4 Lambert Conformal C | | | | | |
5 Mercator | | | | | |
6 Polar Stereographic | | | | | |
7 Polyconic | | | | | |
8 Equid. Conic A |zero | | | | |
Equid. Conic B |one | | | | |
9 Transverse Mercator | | | | | |
10 Stereographic | | | | | |
11 Lambert Azimuthal | | | | | |
12 Azimuthal | | | | | |
13 Gnomonic | | | | | |
14 Orthographic | | | | | |
15 Gen. Vert. Near Per | | | | | |
16 Sinusoidal | | | | | |
17 Equirectangular | | | | | |
18 Miller Cylindrical | | | | | |
19 Van der Grinten | | | | | |
20 Hotin Oblique Merc A |Long1|Lat1|Long2|Lat2|zero|
Hotin Oblique Merc B | | | | |one |
21 Robinson | | | | | |
22 Space Oblique Merc A |PSRev|LRat|PFlag| |zero|
Space Oblique Merc B | | | | |one |
23 Alaska Conformal | | | | | |
24 Interrupted Goode | | | | | |
25 Mollweide | | | | | |
26 Interrupt Mollweide | | | | | |
27 Hammer | | | | | |
28 Wagner IV | | | | | |
29 Wagner VII | | | | | |
30 Oblated Equal Area |Angle| | | | |
----------------------------------------------------
where
Lon/Z Longitude of any point in the UTM zone or zero. If zero,
a zone code must be specified.
Lat/Z Latitude of any point in the UTM zone or zero. If zero, a
zone code must be specified.
SMajor Semi-major axis of ellipsoid. If zero, Clarke 1866 in meters
is assumed.
SMinor Eccentricity squared of the ellipsoid if less than zero,
if zero, a spherical form is assumed, or if greater than
zero, the semi-minor axis of ellipsoid.
2
Sphere Radius of reference sphere. If zero, 6370997 meters is used.
STDPAR Latitude of the standard parallel
STDPR1 Latitude of the first standard parallel
STDPR2 Latitude of the second standard parallel
CentMer Longitude of the central meridian
OriginLat Latitude of the projection origin
FE False easting in the same units as the semi-major axis
FN False northing in the same units as the semi-major axis
TrueScale Latitude of true scale
LongPol Longitude down below pole of map
Factor Scale factor at central meridian (Transverse Mercator) or
center of projection (Hotine Oblique Mercator)
CentLon Longitude of center of projection
CenterLat Latitude of center of projection
Height Height of perspective point
Long1 Longitude of first point on center line (Hotine Oblique
Mercator, format A)
Long2 Longitude of second point on center line (Hotine Oblique
Mercator, format A)
Lat1 Latitude of first point on center line (Hotine Oblique
Mercator, format A)
Lat2 Latitude of second point on center line (Hotine Oblique
Mercator, format A)
AziAng Azimuth angle east of north of center line (Hotine Oblique
Mercator, format B)
AzmthPt Longitude of point on central meridian where azimuth occurs
(Hotine Oblique Mercator, format B)
IncAng Inclination of orbit at ascending node, counter-clockwise
from equator (SOM, format A)
AscLong Longitude of ascending orbit at equator (SOM, format A)
PSRev Period of satellite revolution in minutes (SOM, format A)
LRat Landsat ratio to compensate for confusion at northern end
of orbit (SOM, format A -- use 0.5201613)
PFlag End of path flag for Landsat: 0 = start of path,
1 = end of path (SOM, format A)
Satnum Landsat Satellite Number (SOM, format B)
Path Landsat Path Number (Use WRS-1 for Landsat 1, 2 and 3 and
WRS-2 for Landsat 4, 5 and 6.) (SOM, format B)
Shapem Oblated Equal Area oval shape parameter m
Shapen Oblated Equal Area oval shape parameter n
Angle Oblated Equal Area oval rotation angle
NOTES
Array elements 14 and 15 are set to zero
All array elements with blank fields are set to zero
All angles (latitudes, longitudes, azimuths, etc.) are entered in packed
degrees/ minutes/ seconds (DDDMMMSSS.SS) format
3
The following notes apply to the Space Oblique Mercator A projection.
A portion of Landsat rows 1 and 2 may also be seen as parts of rows
246 or 247. To place these locations at rows 246 or 247, set the end of
path flag (parameter 11) to 1--end of path. This flag defaults to zero.
When Landsat-1,2,3 orbits are being used, use the following values
for the specified parameters:
Parameter 4 099005031.2
Parameter 5 128.87 degrees - (360/251 * path number) in packed
DMS format
Parameter 9 103.2669323
Parameter 10 0.5201613
When Landsat-4,5 orbits are being used, use the following values
for the specified parameters:
Parameter 4 098012000.0
Parameter 5 129.30 degrees - (360/233 * path number) in packed
DMS format
Parameter 9 98.884119
Parameter 10 0.5201613
4
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