# AdV official transformation parameters
#
# Parameters based on the final results of the German GNSS campaign 2021
# valid from 2025-07-01
#
# Helmert parameters (EUREF notation) at reference epoch t0:
#
#t0;T1;T2;T3;D;R1;R2;R3;dotT1;dotT2;dotT3;dotD;dotR1;dotR2;dotR3
2015.0;41.1393;51.9830;-101.1455;7.8918;0.8878;12.7748;-22.2616;0;0;0;0;0.086;0.519;-0.753
#
#  Please note the following explanations
#  ---------------------------------------------------------------------------------------------------------------------
#  1.) Source(S): ITRF2020 or IGS20 (at epoch tc) 
#  2.) Target(T): ETRS89/DREF91(Realisation 2025)
#
#  3.) Transformation formula (|Matrix signs|):
#      | X(T) |   |X(S)|   |T1|   |  D  -R3  R2 |   |X(S)|   
#      | Y(T) | = |Y(S)| + |T2| + |  R3  D  -R1 | * |Y(S)| 
#      | Z(T) |   |Z(S)|   |T3|   | -R2  R1  D  |   |Z(S)|   
#
#  4.) Parameters at epoch tc
#      P(tc)    = P(t0) + dotP(t0) * (tc - t0)
#
#  Whereby:
#  5.) X(T), Y(T), Z(T)                 = Coordinates Target
#  6.) X(S), Y(S), Z(S)                 = Coordinates Source
#  7.) AdV GNSS Campaign 2021 estimated parameters:
#      7.1) T1, T2, T3 [mm]             = Translations in X, Y, Z
#      7.2) R1, R2, R3 [mas]            = Rotation angles in X, Y, Z
#      7.3) D [ppb]                     = Difference in scale
#  8.) Time-dependent derivatives and reference epoch taken from EUREF Technical Note 1: Relationship and Transformation 
#  between the International and the European Terrestrial Reference Systems 
#  (http://etrs89.ensg.ign.fr/pub/EUREF-TN-1-Mar-04-2024.pdf):
#      8.1) dotT1, dotT2, dotT3 [mm/a]  = Annual translation rates in X, Y, Z
#      8.2) dotR1, dotR2, dotR3 [mas/a] = Annual rotation angle rates in X, Y, Z
#      8.3) dotD [ppb/a]                = Annual rate of difference in scale
#      8.4) t0                          = 2015.0 (Reference Epoch)
#  9.) tc                               = Epoch of observation(Fractional of year, e.g. 2021.48)
#
#  Note: All rotation angles must be converted to radians before calculation 
#  (1 mas = 1/1000 * 1/3600 * pi / 180 ~ 4,848136811E-09 rad)
#  ---------------------------------------------------------------------------------------------------------------------
#  Test dataset:
# 
#  Epoch of campaign (tc): 2021.48
#
#  Coordinates Source
#  ID         X (m)        Y (m)          Z(m)   
#  BRMG   4245557.0412  568958.1394  4710200.0645
#  RANT   3645376.2264  531202.1700  5189297.0638
#  TIT2   3993787.0533  450204.1794  4936131.8526
#  LDB2   3798344.6978  955553.3244  5017221.8937
#  FFMJ   4053455.6399  617729.9375  4869395.8850
#  Coordinates Target
#  ID         X (m)        Y (m)          Z(m)   
#  BRMG   4245557.5593  568957.6042  4710199.6723
#  RANT   3645376.7722  531201.7101  5189296.7221
#  TIT2   3993787.5714  450203.6748  4936131.4811
#  LDB2   3798345.2872  955552.8489  5017221.5416
#  FFMJ   4053456.1753  617729.4268  4869395.5095