TransverseMercatorProj - Online in the Cloud

PROGRAM:

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

-k 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 specify the ellipsoid via a f; the equatorial radius is a and the flattening is 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 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
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
read input from the file infile instead of from standard input; a file name of "-"
stands for standard input.

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

--output-file
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.

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