1TRANSVERSEMERCATORPROJ(1)   GeographicLib Utilities  TRANSVERSEMERCATORPROJ(1)
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NAME

6       TransverseMercatorProj -- perform transverse Mercator projection
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SYNOPSIS

9       TransverseMercatorProj [ -s | -t ] [ -l lon0 ] [ -k k0 ] [ -r ] [ -e a
10       f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version
11       | -h | --help ] [ --input-file infile | --input-string instring ] [
12       --line-separator linesep ] [ --output-file outfile ]
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DESCRIPTION

15       Perform the transverse Mercator projections.  Convert geodetic
16       coordinates to transverse Mercator coordinates.  The central meridian
17       is given by lon0.  The longitude of origin is the equator.  The scale
18       on the central meridian is k0.  By default an implementation of the
19       exact transverse Mercator projection is used.
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21       Geodetic coordinates are provided on standard input as a set of lines
22       containing (blank separated) latitude and longitude (decimal degrees or
23       degrees, minutes, seconds); for detils on the allowed formats for
24       latitude and longitude, see the "GEOGRAPHIC COORDINATES" section of
25       GeoConvert(1).  For each set of geodetic coordinates, the corresponding
26       projected easting, x, and northing, y, (meters) are printed on standard
27       output together with the meridian convergence gamma (degrees) and scale
28       k.  The meridian convergence is the bearing of grid north (the y axis)
29       measured clockwise from true north.
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OPTIONS

32       -s  use the sixth-order Krueger series approximation to the transverse
33           Mercator projection instead of the exact projection.
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35       -t  use the exact algorithm with the "EXTENDED DOMAIN"; this is the
36           default.
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38       -l lon0
39           specify the longitude of origin lon0 (degrees, default 0).
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41       -k k0
42           specify the scale k0 on the central meridian (default 0.9996).
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44       -r  perform the reverse projection.  x and y are given on standard
45           input and each line of standard output gives latitude, longitude,
46           gamma, and k.
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48       -e a f
49           specify the ellipsoid via the equatorial radius, a and the
50           flattening, f.  Setting f = 0 results in a sphere.  Specify f < 0
51           for a prolate ellipsoid.  A simple fraction, e.g., 1/297, is
52           allowed for f.  By default, the WGS84 ellipsoid is used, a =
53           6378137 m, f = 1/298.257223563.  If the exact algorithm is used, f
54           must be positive.
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56       -w  on input and output, longitude precedes latitude (except that on
57           input this can be overridden by a hemisphere designator, N, S, E,
58           W).
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60       -p prec
61           set the output precision to prec (default 6).  prec is the number
62           of digits after the decimal point for lengths (in meters).  For
63           latitudes and longitudes (in degrees), the number of digits after
64           the decimal point is prec + 5.  For the convergence (in degrees)
65           and scale, the number of digits after the decimal point is prec +
66           6.
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68       --comment-delimiter commentdelim
69           set the comment delimiter to commentdelim (e.g., "#" or "//").  If
70           set, the input lines will be scanned for this delimiter and, if
71           found, the delimiter and the rest of the line will be removed prior
72           to processing and subsequently appended to the output line
73           (separated by a space).
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75       --version
76           print version and exit.
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78       -h  print usage and exit.
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80       --help
81           print full documentation and exit.
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83       --input-file infile
84           read input from the file infile instead of from standard input; a
85           file name of "-" stands for standard input.
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87       --input-string instring
88           read input from the string instring instead of from standard input.
89           All occurrences of the line separator character (default is a
90           semicolon) in instring are converted to newlines before the reading
91           begins.
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93       --line-separator linesep
94           set the line separator character to linesep.  By default this is a
95           semicolon.
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97       --output-file outfile
98           write output to the file outfile instead of to standard output; a
99           file name of "-" stands for standard output.
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EXTENDED DOMAIN

102       The exact transverse Mercator projection has a branch point on the
103       equator at longitudes (relative to lon0) of +/- (1 - e) 90 = 82.636...,
104       where e is the eccentricity of the ellipsoid.  The standard convention
105       for handling this branch point is to map positive (negative) latitudes
106       into positive (negative) northings y; i.e., a branch cut is placed on
107       the equator.  With the extended domain, the northern sheet of the
108       projection is extended into the south hemisphere by pushing the branch
109       cut south from the branch points.  See the reference below for details.
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EXAMPLES

112          echo 0 90 | TransverseMercatorProj
113          => 25953592.84 9997964.94 90 18.40
114          echo 260e5 100e5 | TransverseMercatorProj -r
115          => -0.02 90.00 90.01 18.48
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ERRORS

118       An illegal line of input will print an error message to standard output
119       beginning with "ERROR:" and causes TransverseMercatorProj to return an
120       exit code of 1.  However, an error does not cause
121       TransverseMercatorProj to terminate; following lines will be converted.
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AUTHOR

124       TransverseMercatorProj was written by Charles Karney.
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SEE ALSO

127       The algorithms for the transverse Mercator projection are described in
128       C. F. F. Karney, Transverse Mercator with an accuracy of a few
129       nanometers, J. Geodesy 85(8), 475-485 (Aug. 2011); DOI
130       <https://doi.org/10.1007/s00190-011-0445-3>; preprint
131       <https://arxiv.org/abs/1002.1417>.  The explanation of the extended
132       domain of the projection with the -t option is given in Section 5 of
133       this paper.
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HISTORY

136       TransverseMercatorProj was added to GeographicLib,
137       <https://geographiclib.sourceforge.io>, in 2009-01.  Prior to version
138       1.9 it was called TransverseMercatorTest (and its interface was
139       slightly different).
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143GeographicLib 1.52                2021-06-21         TRANSVERSEMERCATORPROJ(1)
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