NAME

       TransverseMercatorProj -- perform transverse Mercator projection

SYNOPSIS

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

DESCRIPTION

       Perform the transverse Mercator projections.  Convert geodetic coordinates to transverse Mercator
       coordinates.  The central meridian is given by lon0.  The longitude of origin is the equator.  The scale
       on the central meridian is k0.  By default an implementation of the exact transverse Mercator projection
       is used.

       Geodetic coordinates are provided on standard input as a set of lines containing (blank separated)
       latitude and longitude (decimal degrees or degrees, minutes, seconds); for detils on the allowed formats
       for latitude and longitude, see the "GEOGRAPHIC COORDINATES" section of GeoConvert(1).  For each set of
       geodetic coordinates, the corresponding projected easting, x, and northing, y, (meters) are printed on
       standard output together with the meridian convergence gamma (degrees) and scale k.  The meridian
       convergence is the bearing of grid north (the y axis) measured clockwise from true north.

OPTIONS

       -s  use the sixth-order Krueger series approximation to the transverse Mercator projection instead of the
           exact projection.

       -t  use the exact algorithm with the "EXTENDED DOMAIN".

       -l lon0
           specify the longitude of origin lon0 (degrees, default 0).

       -k k0
           specify the scale k0 on the central meridian (default 0.9996).

       -r  perform the reverse projection.  x and y are given on standard input and each line of standard output
           gives latitude, longitude, gamma, and k.

       -e a f
           specify the ellipsoid via the equatorial radius, a and the flattening, f.  Setting f = 0 results in a
           sphere.  Specify f < 0 for a prolate ellipsoid.  A simple fraction, e.g., 1/297, is allowed for f.
           By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.  If the exact algorithm
           is used, f must be positive.

       -w  on input and output, longitude precedes latitude (except that on input this can be overridden by a
           hemisphere designator, N, S, E, W).

       -p prec
           set the output precision to prec (default 6).  prec is the number of digits after the decimal point
           for lengths (in meters).  For latitudes and longitudes (in degrees), the number of digits after the
           decimal point is prec + 5.  For the convergence (in degrees) and scale, the number of digits after
           the decimal point is prec + 6.

       --comment-delimiter commentdelim
           set the comment delimiter to commentdelim (e.g., "#" or "//").  If set, the input lines will be
           scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed
           prior to processing and subsequently appended to the output line (separated by a space).

       --version
           print version and exit.

       -h  print usage and exit.

       --help
           print full documentation and exit.

       --input-file infile
           read input from the file infile instead of from standard input; a file name of "-" stands for
           standard input.

       --input-string instring
           read input from the string instring instead of from standard input.  All occurrences of the line
           separator character (default is a semicolon) in instring are converted to newlines before the reading
           begins.

       --line-separator linesep
           set the line separator character to linesep.  By default this is a semicolon.

       --output-file outfile
           write output to the file outfile instead of to standard output; a file name of "-" stands for
           standard output.

EXTENDED DOMAIN

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

EXAMPLES

          echo 0 90 | TransverseMercatorProj
          => 25953592.84 9997964.94 90 18.40
          echo 260e5 100e5 | TransverseMercatorProj -r
          => -0.02 90.00 90.01 18.48

ERRORS

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

AUTHOR

       TransverseMercatorProj was written by Charles Karney.

SEE ALSO

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

HISTORY

       TransverseMercatorProj was added to GeographicLib, <https://geographiclib.sourceforge.io>, in 2009-01.
       Prior to version 1.9 it was called TransverseMercatorTest (and its interface was slightly different).