Description of Transformation - BE_BD72 to ETRS89| Attribute | Entry |
|---|
| Operation identifier | BE_BD72 to ETRS89 |
| Operation identifier alias |
|
| Country | Belgium |
| Country identifier | BE |
| Operation valid area | Belgium |
| Operation scope | |
| Source coordinate reference system identifier | BE_BD72 (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 | On website of NGI Belgium http://www.ngi.be/FR/FR4-4.shtm
also transformation parameter from BD72 to ETRS89 are
given. Both of the sets of parameters can be used. On the
specified accuracy of about 2 dm the results are the same. |
| Operation parameter name | geocentric X translation |
| Operation parameter value | -99.1 m |
| Operation parameter remarks | |
| Operation parameter name | geocentric Y translation |
| Operation parameter value | +53.3 m |
| Operation parameter remarks | |
| Operation parameter name | geocentric Z translation |
| Operation parameter value | -112.5 m |
| Operation parameter remarks | |
| Operation parameter name | rotation X-axis |
| Operation parameter value | +0.419" |
| 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 | -0.830" |
| 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 | +1.885" |
| 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 | -1.00 ppm |
| Operation parameter remarks | |