

 
Manual Reference Pages  TRANSVERSEMERCATORPROJ (1)
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NAME
TransverseMercatorProj  perform transverse Mercator projection
CONTENTS
SYNOPSIS
TransverseMercatorProj [ s  t ]
[ l lon0 ] [ k k0 ] [ r ]
[ e a f ] [ w ] [ p prec ]
[ commentdelimiter commentdelim ]
[ version  h  help ]
[ inputfile infile  inputstring instring ]
[ lineseparator linesep ]
[ outputfile 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 the y axis measured clockwise from true north.
OPTIONS
s

use the sixthorder 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.

commentdelimiter 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.

inputfile infile

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

inputstring 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.

lineseparator linesep

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

outputfile 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), 475485 (Aug. 2011); DOI
<https://dx.doi.org/10.1007/s0019001104453>; preprint
<http://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,
<http://geographiclib.sourceforge.net>, in 200901. Prior to version 1.9 it was
called TransverseMercatorTest (and its interface was slightly
different).
GeographicLib 1.46  TRANSVERSEMERCATORPROJ (1)  20160214 
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