50
DG14 and DG16 Board & Sensor Reference Manual
command
$PASHS,UDD
command along with the
$PASHS,DTM
command. Prior
to using these commands, the user must first define the required parameters
including the length of the semi-major axis and amount of flattening in the
reference ellipsoid, and the translation, rotation, and scale between the user-
defined system and WGS-84.
After issuing the $PASHS,DTM,USR command, the receiver internally transforms positions
from
the
reference datum (WGS-84)
to
the user-defined datum. In standard text books, however, the datum
transformations are given
from
local datums
to
WGS-84. To simplify entering the transformation
parameters, the translation, rotation, and scale parameters are defined
from
the local datum
to
WGS-84.
To use this datum for the position computation and measurements, use the $PASHS,DTM,USR
command after defining the datum parameters.
The generic formula used to translate and rotate from coordinate system 1 to
coordinate system 2 is as follows:
where
e
rx
=
e
x
expressed in radians, similarly for
e
ry
and
e
rz
.
Example: Define local datum as the WGS-72 datum
$PASHS,UDD, 0,6378135.0, 298.26,0,0,4.5,0,0,-0.554,0.23
$PASHS,DTM,USR
This implements the transformations listed in Table 3.2 and below in the
following equation:
Table 3.2.
Ellipsoid Parameters for WGS-72 and WGS-84
Datum
Reference
Ellipsoid
a[m]
1/f
WGS-72
WGS-72
6378135.0
298.26
WGS-84
WGS-84
6378137.0
298.257223563
x
y
z
2
D
x
D
y
D
z
1
m
6
–
´
10
+
(
)
1
e
rz
e
ry
–
e
rz
–
1
e
rx
e
ry
e
rx
–
1
x
y
z
1
+
=
Содержание DG14
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Страница 105: ...Coordinate Transformation 85 Coordinate Transformation Figure 4 4 Oblique Mercator Figure 4 5 Stereographic...
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Страница 389: ...369 Index W warm start 2 33 WGS 72 81 WGS 84 4 81 86 X XMG 284 XYZ 221 Z ZDA 285...
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