Description of Transformation - UA_UCS-2000 to ETRS89| Attribute | Entry | 
|---|
  | Operation identifier | UA_UCS-2000 to ETRS89 | 
  | Operation identifier alias | 
 | 
  | Country | Ukraine | 
  | Country identifier | UA | 
  | Operation valid area | Ukraine | 
  | Operation scope |  | 
  | Source coordinate reference system identifier | UC_UCS-2000 (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 | Primary these parameters refer to transformation from 
UA_UCS-2000 to ITRS2005. The parameters within it's 
accuracy (about 1 m) also represent ETRS89 as like as 
ITRF2005.  | 
  | Operation parameter name | geocentric X translation | 
  | Operation parameter value | +24 m | 
  | Operation parameter remarks |  | 
  | Operation parameter name | geocentric Y translation | 
  | Operation parameter value | -121 m | 
  | Operation parameter remarks |  | 
  | Operation parameter name | geocentric Z translation | 
  | Operation parameter value | -76 m | 
  | Operation parameter remarks |  | 
  | Operation parameter name | rotation X-axis | 
  | Operation parameter value | 0" | 
  | 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" | 
  | 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 | 0" | 
  | 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 | 0 ppm | 
  | Operation parameter remarks |  |