TRASFO<\/a> developed by Politecnico di Milano.
Data used to calculate parameters are relative to stations ACOM, AFAL, CANV,MDEA, MPRA, TRIE, UDI1, ZOUF.<\/p>\n\n\n\nParameters of roto-translation calculated for region Friuli Venezia Giulia<\/h2>\n\n\n\nITRF00(2008.0) >>>> ETRF2000(2008.0)<\/h3>\n\n\n\n\n\n\n
$$
\\begin{matrix}
Scale\\:factor &
k= &
k &
3.270665e-10 \\\\
Matrix &
R= &
\\begin{pmatrix}
R_{11} & R_{12} & R_{13}\\\\
R_{21} & R_{22} & R_{23}\\\\
R_{31} & R_{32} & R_{33}
\\end{pmatrix} &
\\begin{pmatrix}
1.000000\\text{e+}00 & 7.095722e-08 & 4.369945\\text{e-}08 \\\\
-7.095722\\text{e-}08 & 1.000000\\text{e+}00 & -7.352123\\text{e-}09 \\\\
-4.369945\\text{e-}08 & 7.352123\\text{e-}09 & 1.000000\\text{e+}00
\\end{pmatrix} \\\\
Vector &
T= &
\\begin{pmatrix}
T_{1} & T_{2} & T_{3}
\\end{pmatrix} &
\\begin{pmatrix}
0.0524989162 & 0.0523446096 & -0.0497923456
\\end{pmatrix}
\\end{matrix}
$$<\/p>\n\n\n\n
ETRF2000(2008.0) >>>> ITRF00(2008.0)<\/h3>\n\n\n\n
$$
\\begin{matrix}
Scale\\:factor &
k= &
k &
3.270665e-10 \\\\
Matrix &
R= &
\\begin{pmatrix}
R_{11} & R_{12} & R_{13} \\\\
R_{21} & R_{22} & R_{23} \\\\
R_{31} & R_{32} & R_{33}
\\end{pmatrix} &
\\begin{pmatrix}
1.000000\\text{e+}00 & -7.095722\\text{e-}08 & -4.369945\\text{e-}08 \\\\
7.095722\\text{e-}08 & 1.000000\\text{e+}00 & 7.352123\\text{e-}09 \\\\
4.369945\\text{e-}08 & -7.352123\\text{e-}09 & 1.000000\\text{e+}00
\\end{pmatrix} \\\\
Vector &
T= &
\\begin{pmatrix}
T_{1} & T_{2} & T_{3}
\\end{pmatrix} &
\\begin{pmatrix}
-0.0524989162 & -0.0523446096 & 0.0497923456
\\end{pmatrix}
\\end{matrix}
$$<\/p>\n\n\n\n
Example of coordinates calculation for station ZOUF<\/h3>\n\n\n\nConversion from geographical coordinates to cartesian coordinates<\/h4>\n\n\n\n
$$
\\begin{matrix}
\\begin{matrix}
N_{ITRF00} \\\\ E_{ITRF00} \\\\ U_{ITRF00}
\\end{matrix} &
>>
\\quad
\\begin{matrix}
X_{ITRF00} \\\\ Y_{ITRF00} \\\\ Z_{ITRF00}
\\end{matrix}
\\qquad
\\begin{matrix}
N\\:46\u00b0\\:33’\\:25.9839″ \\\\ E\\:12\u00b0\\:58’\\:24.7889″ \\\\ U\\:1946.489
\\end{matrix} &
>>
\\quad
\\begin{matrix}
4\\:282\\:710,222 \\\\ 986\\:659,532 \\\\ 4\\:609\\:469,588
\\end{matrix}
\\end{matrix}
$$<\/p>\n\n\n\n
Conversione da ITRF00(2008.0) a ETRF2000(2008.0) tramite rototraslazione: X(I)= T + (1+K) * R * X(II)<\/h4>\n\n\n\n
$$
\\begin{matrix}
\\begin{pmatrix}
X_{ETRF2000} \\\\ Y_{ETRF2000} \\\\ Z_{ETRF2000}
\\end{pmatrix} &
= &
\\begin{pmatrix}
T_1 \\\\ T_2 \\\\ T_3
\\end{pmatrix} &
\\begin{pmatrix}
1 + k
\\end{pmatrix} &
\\begin{pmatrix}
R_{11} & R_{12} & R_{13} \\\\
R_{21} & R_{22} & R_{23} \\\\
R_{31} & R_{32} & R_{33}
\\end{pmatrix} &
\\begin{pmatrix}
X_{ITRF00} \\\\ Y_{ITRF00} \\\\ Z_{ITRF00}
\\end{pmatrix} \\\\
\\begin{pmatrix}
X_{ETRF2000} \\\\ Y_{ETRF2000} \\\\ Z_{ETRF2000}
\\end{pmatrix} &
= &
\\begin{pmatrix}
0.0524989162 \\\\ 0.0523446096 \\\\ -0.0497923456
\\end{pmatrix} &
\\begin{pmatrix}
1 + k
\\end{pmatrix} &
\\begin{pmatrix}
1.000000\\text{e+}00 & 7.095722\\text{e-}08 & 4.369945\\text{e-}08 \\\\
-7.095722\\text{e-}08 & 1.000000\\text{e+}00 & -7.352123\\text{e-}09 \\\\
-4.369945\\text{e-}08 & 7.352123\\text{e-}09 & 1.000000\\text{e+}00
\\end{pmatrix} &
\\begin{pmatrix}
X_{ITRF00} \\\\ Y_{ITRF00} \\\\ Z_{ITRF00}
\\end{pmatrix} \\\\
\\begin{pmatrix}
X_{ETRF2000} \\\\ Y_{ETRF2000} \\\\ Z_{ETRF2000}
\\end{pmatrix} &
= &
\\begin{pmatrix}
4\\:282\\:710,320 \\\\ 986\\:659,200 \\\\ 4\\:609\\:469,569
\\end{pmatrix}
\\end{matrix}
$$<\/p>\n\n\n\n
Conversion from cartesian coordinates to geographical coordinates<\/h4>\n\n\n\n
$$
\\begin{matrix}
\\begin{matrix}
X_{ETRF2000} \\\\ Y_{ETRF2000} \\\\ Z_{ETRF2000}
\\end{matrix} &
>>
\\quad
\\begin{matrix}
N_{ETRF2000} \\\\ E_{ETRF2000} \\\\ U_{ETRF2000}
\\end{matrix}
\\qquad
\\begin{matrix}
4\\:282\\:710,320 \\\\ 986\\:659,200 \\\\ 4\\:609\\:469,569
\\end{matrix} &
>>
\\quad
\\begin{matrix}
N\\:46\u00b0\\:33’\\:25.9830″ \\\\ E\\:12\u00b0\\:58’\\:24.7727″ \\\\ U\\:1946.489
\\end{matrix}
\\end{matrix}
$$<\/p>","protected":false},"excerpt":{"rendered":"
Parametri di rototraslazione utilizzati nella conversione delle coordinate da ITRF00(2008.0) a ETRF2000(2008.0) Per la conversione delle coordinate fra due sistemi di riferimento \u00e8 stata utilizzata la seguente formula: X(I) = T + (1+K) * R * X(II) Dove: I parametri di rototraslazione (coefficenti della matrice R, vettore T, fattore di scala K, sono stati calcolati […]<\/p>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-555","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/frednet.crs.ogs.it\/en\/wp-json\/wp\/v2\/pages\/555","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/frednet.crs.ogs.it\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/frednet.crs.ogs.it\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/frednet.crs.ogs.it\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/frednet.crs.ogs.it\/en\/wp-json\/wp\/v2\/comments?post=555"}],"version-history":[{"count":33,"href":"https:\/\/frednet.crs.ogs.it\/en\/wp-json\/wp\/v2\/pages\/555\/revisions"}],"predecessor-version":[{"id":588,"href":"https:\/\/frednet.crs.ogs.it\/en\/wp-json\/wp\/v2\/pages\/555\/revisions\/588"}],"wp:attachment":[{"href":"https:\/\/frednet.crs.ogs.it\/en\/wp-json\/wp\/v2\/media?parent=555"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}