Description of Transformation - DE_DHDN (North) to ETRS89| Attribute | Entry |
|---|
| Operation identifier | DE_DHDN (North) to ETRS89 |
| Operation identifier alias | EPSG code: 1780 |
| Country | Germany |
| Country identifier | DE |
| Operation valid area | Germany, Deutsches Hauptdreiecksnetz (DHDN),
"Old" federal states northern part,
52°20' N ... 55°00' N |
| Operation scope | for applications with an accuracy at submeter level |
| Source coordinate reference system identifier | DE_DHDN (North) (X, Y, Z) |
| Target coordinate reference system identifier | ETRS89 (X, Y, Z) |
| Operation version | 2001, from 21 identical points of German GPS Network DREF
on territory of old states |
| 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 DE_DHDN
were derived under using ellipsoidal heights, which are
computed from levelling heights related to Normaal
Amsterdams Peil (NAP) and a geoid related to DHDN Datum
Rauenberg. |
| Operation parameter name | geocentric X translation |
| Operation parameter value | +590.5 m |
| Operation parameter remarks | |
| Operation parameter name | geocentric Y translation |
| Operation parameter value | +69.5 m |
| Operation parameter remarks | |
| Operation parameter name | geocentric Z translation |
| Operation parameter value | +411.6 m |
| Operation parameter remarks | |
| Operation parameter name | rotation X-axis |
| Operation parameter value | -0.796" |
| 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 | -0.052" |
| 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 | -3.601" |
| 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 | +8.30 ppm |
| Operation parameter remarks | |