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 = 82.636..., 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).