PARAMETERS OF ROTOTRANSLATION USED IN COORDINATES COONVERSION
FROM WGS-84 (actual epoch) TO
ETRS89 (epoch 1989.0)-IGM95 |
For converting coordinates is been used the following formula:
| X(I)= T + (1+K) * R * X(II) |
Where:
| - | X(I) | = | unknown coordinate in reference frame I; |
| - | X(II) | = | | unknown coordinate in reference frame II;
| - | K | = | scale factors; |
| - | R | = | matrix rotation; |
| - | T | = | vector of translation; |
The parameters of roto-translation (coefficents of matrix R, vector T, scale factor K, are been calculated with the software TRASFO developed by Politecnico di Milano.
Data used to calculate parameters are relative to stations ACOM, AFAL, CANV,MDEA, MPRA, TRIE, UDI1, ZOUF. |
| PARAMETERS OF ROTO-TRANSLATION CALCULATED FOR REGION FRIULI VENEZIA GIULIA |
| WGS-84 (actual epoch) >>>> ETRS89(epoch 1989.0)-IGM95 |
| Scale factor |
K = |
k |
3.270665e-10 |
| Matrix |
R = |
|
| R11 | R12 | R13 |
|
| R21 | R22 | R23 |
| R31 | R32 | R33 |
|
|
| 1.000000e+00 | 7.095722e-08 | 4.369945e-08 |
|
| -7.095722e-08 | 1.000000e+00 | -7.352123e-09 |
| -4.369945e-08 | 7.352123e-09 | 1.000000e+00 |
|
| Vector |
T = |
|
| (0.0524989162 | 0.0523446096 | -0.0497923456) |
|
|
| ETRS89(epoch 1989.0)-IGM95 >>>> WGS-84 (actual epoch) |
| Scale factor |
K = |
k |
3.270665e-10 |
| Matrice |
R = |
|
|
R11 | R12 | R13 |
|
| R21 | R22 | R23 |
| R31 | R32 | R33 |
|
|
|
1.000000e+00 | -7.095722e-08 | -4.369945e-08 |
|
| 7.095722e-08 | 1.000000e+00 | 7.352123e-09 |
| 4.369945e-08 | -7.352123e-09 | 1.000000e+00 |
|
| Vector |
T = |
|
| (-0.0524989162 | -0.0523446096 | 0.0497923456) |
|
|
EXAMPLE OF COORDINATES CALCULATION FOR STATION ZOUF
| CONVERSION FROM GEOGRAPHICAL COORDINATES TO CARTESIAN COORDINATES |
| NWGS84 | | XWGS84 | N 46° 33' 25.9839" | | 4 282 710,222 |
| EWGS84 | >> | YWGS84 | E 12° 58' 24.7889" | >> | 986 659,532 |
| UWGS84 | | ZWGS84 | U 1946.489 | | 4 609 469,588 |
|
| CONVERSION FROM WGS-84 (actual epoch) TO ETRS89(e.1989.0)-IGM95 BY ROTOTRANSLATION: X(I)= T + (1+K) * R * X(II)
|
|
|
|
|
|
|
|
|
|
|
|
| R11 | R12 | R13 |
| R21 | R22 | R23 |
| R31 | R32 | R33 |
|
|
|
|
|
|
|
|
|
|
|
| 0.0524989162 |
| 0.0523446096 |
| -0.0497923456 |
|
|
|
|
| 1.000000e+00 | 7.095722e-08 | 4.369945e-08 |
| -7.095722e-08 | 1.000000e+00 | -7.352123e-09 |
| -4.369945e-08 | 7.352123e-09 | 1.000000e+00 |
|
|
|
|
|
|
|
|
|
|
|
| 4 282 710,320 |
| 986 659,200 |
| 4 609 469,569 |
|
|
| CONVERSION FROM CARTESIAN COORDINATES TO GEOGRAPHICAL COORDINATES |
| XETRS89 | | NETRS89 | 4 282 710,320 | | N 46° 33' 25.9830" |
| YETRS89 | >> | EETRS89 | 986 659,200 | >> | E 12° 58' 24.7727" |
| ZETRS89 | | UETRS89 | 4 609 469,569 | | U 1946.489 |
|
|
|