Description of Transformation - TR_TUREF to ETRS89Attribute | Entry |
---|
Operation identifier | TR_TUREF to ETRS89 |
Operation identifier alias |
|
Country | Turkey |
Country identifier | TR |
Operation valid area | Turkey |
Operation scope | |
Source coordinate reference system identifier | TR_TUREF (X, Y, Z) |
Target coordinate reference system identifier | ETRS89 (X, Y, Z) |
Operation version |
|
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 | TUREF is coincident with ITRF96 at epoch 2005.0 and
transformation parameters between TUREF and ETRS89 are
computed through the combination of ITRF96 - ETRS89 and
Euler rotation of Eurasia Plate |
Operation parameter name | geocentric X translation |
Operation parameter value | +0.023 m |
Operation parameter remarks | |
Operation parameter name | geocentric Y translation |
Operation parameter value | +0.036 m |
Operation parameter remarks | |
Operation parameter name | geocentric Z translation |
Operation parameter value | -0.068 m |
Operation parameter remarks | |
Operation parameter name | rotation X-axis |
Operation parameter value | +0.00176" |
Operation parameter remarks | |
Operation parameter name | rotation Y-axis |
Operation parameter value | +0.00912" |
Operation parameter remarks | |
Operation parameter name | rotation Z-axis |
Operation parameter value | -0.01136" |
Operation parameter remarks | |
Operation parameter name | correction of scale |
Operation parameter value | +0.00439 ppm |
Operation parameter remarks | |