Description of Transformation - AT_MGI to ETRS89| Attribute | Entry |
|---|
| Operation identifier | AT_MGI to ETRS89 |
| Operation identifier alias |
|
| Country | Austria |
| Country identifier | AT |
| Operation valid area | Austria |
| Operation scope | for applications with an accuracy of about 1.5 m |
| Source coordinate reference system identifier | AT_MGI (X, Y, Z) |
| Target coordinate reference system identifier | ETRS89 (X, Y, Z) |
| Operation version | 1996, 84 identical points |
| Operation method name | 7 parameter Helmert transformation |
| Operation method name alias | Position Vector Transformation |
| Operation method formula | 7 Parameter Helmert Transformation,
|X| |X| |Tx| | 0 -Rz Ry | |X| |X|
|Y| = |Y| + |Ty| + | Rz 0 -Rx | * |Y| + D * |Y|
|Z| |Z| |Tz| |-Ry Rx 0 | |Z| |Z|
T S S S
T ... Target Datum
S ... Source Datum
Tx, Ty, Tz ... geocentric X/Y/Z translations [m]
Rx Ry, Rz ... rotations around X/Y/Z axis [radian]
D ... correction of scale [ppm]
see
Boucher, C., Altamimi, Z. (1992): The EUREF Terrestrial
Reference System and its First Realizations.
Veröffentlichungen der Bayerischen Kommission für die
Internationale Erdmessung, Heft 52, München 1992, pages
205-213 (1)
REMARKS: in (1) correction of scale D is included in the
rotation matrix
******************* Attention *******************
In some transformation applications a different formula
than the formula above could be in use. The signs and order
of the rotation parameters are then define differently and
rotation unit can be arcseconds. For test purposes you can
find in this information system verification data to check
your application to get correct results.
Distinguish the following cases:
a) change of signs of rotation (Coordinate Frame Rotation)
Rx = -Rx
Ry = -Ry
Rz = -Rz
b) change of signs and order of rotation
Rx = -Rz
Ry = -Ry
Rz = -Rx
******************* Attention ******************* |
| Operation method parameters number | 7 |
| Operation method remarks | The three-dimensional coordinates of (X,Y,Z) of AT_MGI
were derived under using ellipsoidal heights, which are
computed from levelling heights related to Molo Sartorio
(Trieste) and a Geoid related to AT_MGI Datum Hermannskogel
and Josefstadt in Bohemia
REMARK: for transformation the (ellip) coord. must refer
all to Prime Meridian Greenwich |
| Operation parameter name | geocentric X translation |
| Operation parameter value | +577.3 m |
| Operation parameter remarks | |
| Operation parameter name | geocentric Y translation |
| Operation parameter value | +90.1 m |
| Operation parameter remarks | |
| Operation parameter name | geocentric Z translation |
| Operation parameter value | +463.9 m |
| Operation parameter remarks | |
| Operation parameter name | rotation X-axis |
| Operation parameter value | +5.137" |
| Operation parameter remarks | to be in agreement with formulas the rotation parameter
has to be converted to Radians |
| Operation parameter name | rotation Y-axis |
| Operation parameter value | +1.474" |
| Operation parameter remarks | to be in agreement with formulas the rotation parameter
has to be converted to Radians |
| Operation parameter name | rotation Z-axis |
| Operation parameter value | +5.297" |
| Operation parameter remarks | to be in agreement with formulas the rotation parameter
has to be converted to Radians |
| Operation parameter name | correction of scale |
| Operation parameter value | +2.42 ppm |
| Operation parameter remarks | |