Version 2025-09-28 # DOI: 10.48436/pc0ge-sh436 # # # This file contains gravitational deformation information for various antennas. # This is the EXTRA delay introduced by deformation of the antenna. # Hence the delay is # ADDED to the theoretical value # --OR-- # SUBTRACTED from the observed value. # # # History: (Most recent first) # 2025-09-28 Benedikt Soja. Added the model for HOBART26 by averaging over azimuths. # # 2023-01-24 John Gipson. Fixed names of ONSA13NE and ONSA13SW which were wrong in the table. # # 2023-01-20 JMG. Added in following antennas: # WETTZELL, WETTZ13S, WETTZ13N (courtesy Christian Plotz and Michael Loesler) # NYALES20 (Ann-Silje Kirkvik) # KOKEE Uses same model as NYALES20 since antennas are structurally identical # ONSA13NE, ONSA13SW Michael Loesler et al. # # 2019Nov21 JMG. Added references for all the models. # Updated Onsala60 model using results from published paper. # Signs of all models are consistent. # # 2018Nov12 JMG. Changed sign of YEBES40M.(subsequently undone) # Did this by changing scale. This resulted from error in reading paper. # 2018Nov11 JMGipson. All models redone by John Gipson. Now done in mm. # Added optional "EPOCH" line. If present specifies range for validity of model. # # # 2018Aug16 JMGipson First version. Using models from Tilda Swinstrom, NVI summer intern. # # Lines that start with "#" are comments and can be ignored. # For each antenna the general format is: # ANTENNA NUM_PTS SCALE # el1 delay1 # el2 delay2 #.... # ANTEN2 NUM_PTS SCALE # EPOCH YYYYMMDD YYYYMMDD beginning and ending epoch of model # el1 delay1 # el2 delay2 # ... # Some comments on format. # 1. ANTENNA is the name of the antenna. # 2. NUM_PTS are the number of points. # 3. SCALE is an optional scaling factor. This converts the delay into ps. # If SCALE is 3.336 than the raw values are in mm. # 4. Epoch is the optional beginning and ending date for the model. # 5. The pairs el1, delay1 are the EXCESS delay as a function of elevation. # The scale factor converts this to ps. # # The delay is calculated using a cubic spline interpoation. # The number and spacing of the points is arbitrary, but should be chosen # so that the error interpolation is under ~0.25 ps. # # Reference: # A complete VLBI delay model for deforming radio telescopes: the Effelsberg case # T. Artz · A. Springer · A. Nothnagel # J Geod (2014) 88:11451161 # DOI 10.1007/s00190-014-0749-1 # EFLSBERG 90 3.336 1 -97.137 2 -95.795 3 -94.446 4 -93.090 5 -91.728 6 -90.359 7 -88.983 8 -87.601 9 -86.212 10 -84.818 11 -83.417 12 -82.010 13 -80.597 14 -79.179 15 -77.755 16 -76.327 17 -74.894 18 -73.456 19 -72.014 20 -70.569 21 -69.120 22 -67.668 23 -66.213 24 -64.756 25 -63.298 26 -61.839 27 -60.378 28 -58.918 29 -57.458 30 -55.999 31 -54.542 32 -53.086 33 -51.634 34 -50.185 35 -48.740 36 -47.300 37 -45.866 38 -44.438 39 -43.017 40 -41.603 41 -40.199 42 -38.803 43 -37.418 44 -36.044 45 -34.681 46 -33.332 47 -31.995 48 -30.673 49 -29.367 50 -28.076 51 -26.803 52 -25.547 53 -24.311 54 -23.094 55 -21.898 56 -20.723 57 -19.571 58 -18.443 59 -17.339 60 -16.260 61 -15.208 62 -14.182 63 -13.185 64 -12.217 65 -11.279 66 -10.371 67 -9.495 68 -8.652 69 -7.843 70 -7.068 71 -6.328 72 -5.624 73 -4.957 74 -4.327 75 -3.736 76 -3.185 77 -2.674 78 -2.203 79 -1.774 80 -1.387 81 -1.043 82 -0.743 83 -0.487 84 -0.276 85 -0.110 86 0.010 87 0.083 88 0.109 89 0.087 90 0.018 # # Reference: # Deformation in VLBI Antennas # T. A. Clark and Per Thomsen # NASA Technical Memorandum 100696 # 1988 # See page 94 which gives values for XY mount. # Gilcreek was actually XYNS # GILCREEK 90 3.336 1 -2.358 2 -2.316 3 -2.274 4 -2.233 5 -2.191 6 -2.149 7 -2.108 8 -2.066 9 -2.025 10 -1.983 11 -1.942 12 -1.901 13 -1.860 14 -1.819 15 -1.779 16 -1.738 17 -1.698 18 -1.658 19 -1.619 20 -1.579 21 -1.540 22 -1.501 23 -1.462 24 -1.424 25 -1.386 26 -1.348 27 -1.310 28 -1.273 29 -1.236 30 -1.200 31 -1.164 32 -1.128 33 -1.093 34 -1.058 35 -1.023 36 -0.989 37 -0.956 38 -0.922 39 -0.890 40 -0.857 41 -0.825 42 -0.794 43 -0.763 44 -0.733 45 -0.703 46 -0.674 47 -0.645 48 -0.616 49 -0.589 50 -0.561 51 -0.535 52 -0.509 53 -0.483 54 -0.458 55 -0.434 56 -0.410 57 -0.387 58 -0.365 59 -0.343 60 -0.322 61 -0.301 62 -0.281 63 -0.262 64 -0.243 65 -0.225 66 -0.207 67 -0.191 68 -0.175 69 -0.159 70 -0.145 71 -0.131 72 -0.117 73 -0.105 74 -0.093 75 -0.082 76 -0.071 77 -0.062 78 -0.052 79 -0.044 80 -0.036 81 -0.030 82 -0.023 83 -0.018 84 -0.013 85 -0.009 86 -0.006 87 -0.003 88 -0.001 89 -0.000 90 -0.000 # # # Reference: Loesler et al., 2025, Innovative approach for modelling gravity-induced ... # Earth Planets Space 77, 9 (2025) # https://doi.org/10.1186/s40623-024-02110-8 # based on Supplementary Information file 40623_2024_2110_MOESM1_ESM.txt # BS averaged the asymmetric deviations over all azimuths. Statistics w.r.t. original model: # Max difference: 0.0116 mm # Min difference: -0.0117 mm # Std difference: 0.0032 mm # HOBART26 90 3.336 1 -0.842 2 -0.842 3 -0.842 4 -0.860 5 -0.903 6 -0.953 7 -0.986 8 -1.045 9 -1.083 10 -1.100 11 -1.132 12 -1.160 13 -1.184 14 -1.206 15 -1.226 16 -1.246 17 -1.265 18 -1.284 19 -1.305 20 -1.321 21 -1.344 22 -1.367 23 -1.392 24 -1.417 25 -1.442 26 -1.468 27 -1.494 28 -1.519 29 -1.543 30 -1.569 31 -1.588 32 -1.608 33 -1.627 34 -1.644 35 -1.659 36 -1.672 37 -1.683 38 -1.692 39 -1.699 40 -1.704 41 -1.707 42 -1.708 43 -1.707 44 -1.704 45 -1.699 46 -1.693 47 -1.685 48 -1.674 49 -1.663 50 -1.649 51 -1.633 52 -1.614 53 -1.594 54 -1.571 55 -1.546 56 -1.519 57 -1.489 58 -1.457 59 -1.421 60 -1.383 61 -1.342 62 -1.299 63 -1.252 64 -1.203 65 -1.152 66 -1.098 67 -1.043 68 -0.985 69 -0.926 70 -0.865 71 -0.804 72 -0.742 73 -0.680 74 -0.618 75 -0.557 76 -0.498 77 -0.440 78 -0.384 79 -0.330 80 -0.279 81 -0.232 82 -0.188 83 -0.149 84 -0.114 85 -0.083 86 -0.058 87 -0.039 88 -0.024 89 -0.016 90 -0.013 # # # NOTE: KOKEE AND NYALES20 have the same design. # The numbers below are for NYALES20, but should be a good approximation for KOKEE. # This data is provided by Ann-Silje Kirkvik for NYALES20 # Email 2020-11-06 # KOKEE 90 3.336 1 1.372 2 1.337 3 1.302 4 1.267 5 1.232 6 1.198 7 1.164 8 1.130 9 1.097 10 1.063 11 1.031 12 0.998 13 0.966 14 0.934 15 0.902 16 0.871 17 0.840 18 0.809 19 0.779 20 0.749 21 0.720 22 0.691 23 0.662 24 0.634 25 0.606 26 0.579 27 0.552 28 0.525 29 0.499 30 0.474 31 0.449 32 0.424 33 0.400 34 0.377 35 0.354 36 0.331 37 0.309 38 0.287 39 0.266 40 0.246 41 0.226 42 0.207 43 0.188 44 0.170 45 0.152 46 0.135 47 0.119 48 0.103 49 0.087 50 0.073 51 0.058 52 0.045 53 0.032 54 0.020 55 0.008 56 -0.003 57 -0.014 58 -0.023 59 -0.033 60 -0.041 61 -0.049 62 -0.057 63 -0.063 64 -0.069 65 -0.075 66 -0.079 67 -0.084 68 -0.087 69 -0.090 70 -0.092 71 -0.094 72 -0.094 73 -0.095 74 -0.094 75 -0.093 76 -0.091 77 -0.089 78 -0.086 79 -0.082 80 -0.078 81 -0.073 82 -0.068 83 -0.061 84 -0.054 85 -0.047 86 -0.039 87 -0.030 88 -0.021 89 -0.011 90 0.000 # # # Reference # Geod (2009) 83:11151126 # DOI 10.1007/s00190-009-0331-4 # Gravity-dependent signal path variation in a large VLBI telescope # modelled with a combination of surveying methods # Pierguido Sarti · C. Abbondanza · L. Vittuari # See also the reference for NOTO below. Improved geodetic ... Page 17 # Delta_L = 0.22 * El - 0.0012 El^2 Where El is in degrees # MEDICINA 90 3.336 1 0.219 2 0.435 3 0.649 4 0.861 5 1.070 6 1.277 7 1.481 8 1.683 9 1.883 10 2.080 11 2.275 12 2.467 13 2.657 14 2.845 15 3.030 16 3.213 17 3.393 18 3.571 19 3.747 20 3.920 21 4.091 22 4.259 23 4.425 24 4.589 25 4.750 26 4.909 27 5.065 28 5.219 29 5.371 30 5.520 31 5.667 32 5.811 33 5.953 34 6.093 35 6.230 36 6.365 37 6.497 38 6.627 39 6.755 40 6.880 41 7.003 42 7.123 43 7.241 44 7.357 45 7.470 46 7.581 47 7.689 48 7.795 49 7.899 50 8.000 51 8.099 52 8.195 53 8.289 54 8.381 55 8.470 56 8.557 57 8.641 58 8.723 59 8.803 60 8.880 61 8.955 62 9.027 63 9.097 64 9.165 65 9.230 66 9.293 67 9.353 68 9.411 69 9.467 70 9.520 71 9.571 72 9.619 73 9.665 74 9.709 75 9.750 76 9.789 77 9.825 78 9.859 79 9.891 80 9.920 81 9.947 82 9.971 83 9.993 84 10.013 85 10.030 86 10.045 87 10.057 88 10.067 89 10.075 90 10.080 # # Reference # ANNALS OF GEOPHYSICS, 53, 5-6, 2010; doi: 10.4401/ag-4739 # # Improved geodetic European very-long-baseline interferometry # solution using models of antenna gravitational deformation Page 17 # # Pierguido Sarti, Monia Negusini, Claudio Abbondanza # Delta_L = 0.12 * El - 0.00045 El^2 Where El is in degrees # NOTO 90 3.336 1 0.120 2 0.238 3 0.356 4 0.473 5 0.589 6 0.704 7 0.818 8 0.931 9 1.044 10 1.155 11 1.266 12 1.375 13 1.484 14 1.592 15 1.699 16 1.805 17 1.910 18 2.014 19 2.118 20 2.220 21 2.322 22 2.422 23 2.522 24 2.621 25 2.719 26 2.816 27 2.912 28 3.007 29 3.102 30 3.195 31 3.288 32 3.379 33 3.470 34 3.560 35 3.649 36 3.737 37 3.824 38 3.910 39 3.996 40 4.080 41 4.164 42 4.246 43 4.328 44 4.409 45 4.489 46 4.568 47 4.646 48 4.723 49 4.800 50 4.875 51 4.950 52 5.023 53 5.096 54 5.168 55 5.239 56 5.309 57 5.378 58 5.446 59 5.514 60 5.580 61 5.646 62 5.710 63 5.774 64 5.837 65 5.899 66 5.960 67 6.020 68 6.079 69 6.138 70 6.195 71 6.252 72 6.307 73 6.362 74 6.416 75 6.469 76 6.521 77 6.572 78 6.622 79 6.672 80 6.720 81 6.768 82 6.814 83 6.860 84 6.905 85 6.949 86 6.992 87 7.034 88 7.075 89 7.116 90 7.155 # # This data is provided by Ann-Silje Kirkvik # Email 2020-11-06 # NYALES20 90 3.336 1 1.372 2 1.337 3 1.302 4 1.267 5 1.232 6 1.198 7 1.164 8 1.130 9 1.097 10 1.063 11 1.031 12 0.998 13 0.966 14 0.934 15 0.902 16 0.871 17 0.840 18 0.809 19 0.779 20 0.749 21 0.720 22 0.691 23 0.662 24 0.634 25 0.606 26 0.579 27 0.552 28 0.525 29 0.499 30 0.474 31 0.449 32 0.424 33 0.400 34 0.377 35 0.354 36 0.331 37 0.309 38 0.287 39 0.266 40 0.246 41 0.226 42 0.207 43 0.188 44 0.170 45 0.152 46 0.135 47 0.119 48 0.103 49 0.087 50 0.073 51 0.058 52 0.045 53 0.032 54 0.020 55 0.008 56 -0.003 57 -0.014 58 -0.023 59 -0.033 60 -0.041 61 -0.049 62 -0.057 63 -0.063 64 -0.069 65 -0.075 66 -0.079 67 -0.084 68 -0.087 69 -0.090 70 -0.092 71 -0.094 72 -0.094 73 -0.095 74 -0.094 75 -0.093 76 -0.091 77 -0.089 78 -0.086 79 -0.082 80 -0.078 81 -0.073 82 -0.068 83 -0.061 84 -0.054 85 -0.047 86 -0.039 87 -0.030 88 -0.021 89 -0.011 90 0.000 # # NOTE. The Onsala model is for a reference temperature of 19C. # The delay at other temperatures can be found by adding the elevation INDEPENDENT term # (T-19C)*0.47 mm. # If the temperature is slowly varying then this is clock like (will be absorbed in the clocks). # # Reference # Nothnagel, A., Holst, C. & Haas, R. J Geod (2019) 93: 2019. https://doi.org/10.1007/s00190-019-01299-x # # A VLBI delay model for gravitational deformations of the Onsala 20 m radio # telescope and the impact on its global coordinates # # A. Nothnagel C. Holst R. Haas # ONSALA60 90 3.336 1 9.877 2 9.797 3 9.717 4 9.637 5 9.557 6 9.477 7 9.396 8 9.316 9 9.235 10 9.154 11 9.073 12 8.993 13 8.912 14 8.831 15 8.751 16 8.670 17 8.590 18 8.510 19 8.429 20 8.350 21 8.270 22 8.190 23 8.111 24 8.032 25 7.954 26 7.875 27 7.798 28 7.720 29 7.643 30 7.566 31 7.490 32 7.414 33 7.339 34 7.264 35 7.190 36 7.117 37 7.044 38 6.971 39 6.900 40 6.828 41 6.758 42 6.688 43 6.619 44 6.551 45 6.484 46 6.417 47 6.351 48 6.286 49 6.222 50 6.158 51 6.096 52 6.034 53 5.974 54 5.914 55 5.855 56 5.797 57 5.741 58 5.685 59 5.630 60 5.576 61 5.524 62 5.472 63 5.422 64 5.372 65 5.324 66 5.277 67 5.231 68 5.186 69 5.143 70 5.100 71 5.059 72 5.019 73 4.980 74 4.943 75 4.906 76 4.871 77 4.838 78 4.805 79 4.774 80 4.744 81 4.716 82 4.688 83 4.662 84 4.638 85 4.615 86 4.593 87 4.572 88 4.553 89 4.535 90 4.519 # # Reference Loesler Et al., Gravitational deformation of ring-focus antennas for VOGS. First invest... # https://doi.org/10.1007/s00190-019-01302-5 # Journal of Geodesy 2019 93:2060-2087. # Formula 34 # ONSA13NE 91 3.336 0 -0.37 1 -0.38 2 -0.39 3 -0.40 4 -0.41 5 -0.41 6 -0.42 7 -0.43 8 -0.44 9 -0.44 10 -0.45 11 -0.46 12 -0.46 13 -0.47 14 -0.47 15 -0.48 16 -0.48 17 -0.49 18 -0.49 19 -0.50 20 -0.50 21 -0.50 22 -0.51 23 -0.51 24 -0.51 25 -0.51 26 -0.51 27 -0.52 28 -0.52 29 -0.52 30 -0.52 31 -0.52 32 -0.52 33 -0.52 34 -0.52 35 -0.52 36 -0.51 37 -0.51 38 -0.51 39 -0.51 40 -0.50 41 -0.50 42 -0.50 43 -0.49 44 -0.49 45 -0.49 46 -0.48 47 -0.48 48 -0.47 49 -0.46 50 -0.46 51 -0.45 52 -0.45 53 -0.44 54 -0.43 55 -0.42 56 -0.42 57 -0.41 58 -0.40 59 -0.39 60 -0.38 61 -0.37 62 -0.36 63 -0.35 64 -0.34 65 -0.33 66 -0.32 67 -0.31 68 -0.30 69 -0.29 70 -0.28 71 -0.27 72 -0.25 73 -0.24 74 -0.23 75 -0.22 76 -0.20 77 -0.19 78 -0.18 79 -0.16 80 -0.15 81 -0.14 82 -0.12 83 -0.11 84 -0.09 85 -0.08 86 -0.06 87 -0.05 88 -0.03 89 -0.02 90 0.00 # # Reference Loesler Et al., Gravitational deformation of ring-focus antennas for VOGS. First invest... # https://doi.org/10.1007/s00190-019-01302-5 # Journal of Geodesy 2019 93:2060-2087. # Formula 34 # ONSA13SW 91 3.336 0 -0.37 1 -0.38 2 -0.39 3 -0.40 4 -0.41 5 -0.41 6 -0.42 7 -0.43 8 -0.44 9 -0.44 10 -0.45 11 -0.46 12 -0.46 13 -0.47 14 -0.47 15 -0.48 16 -0.48 17 -0.49 18 -0.49 19 -0.50 20 -0.50 21 -0.50 22 -0.51 23 -0.51 24 -0.51 25 -0.51 26 -0.51 27 -0.52 28 -0.52 29 -0.52 30 -0.52 31 -0.52 32 -0.52 33 -0.52 34 -0.52 35 -0.52 36 -0.51 37 -0.51 38 -0.51 39 -0.51 40 -0.50 41 -0.50 42 -0.50 43 -0.49 44 -0.49 45 -0.49 46 -0.48 47 -0.48 48 -0.47 49 -0.46 50 -0.46 51 -0.45 52 -0.45 53 -0.44 54 -0.43 55 -0.42 56 -0.42 57 -0.41 58 -0.40 59 -0.39 60 -0.38 61 -0.37 62 -0.36 63 -0.35 64 -0.34 65 -0.33 66 -0.32 67 -0.31 68 -0.30 69 -0.29 70 -0.28 71 -0.27 72 -0.25 73 -0.24 74 -0.23 75 -0.22 76 -0.20 77 -0.19 78 -0.18 79 -0.16 80 -0.15 81 -0.14 82 -0.12 83 -0.11 84 -0.09 85 -0.08 86 -0.06 87 -0.05 88 -0.03 89 -0.02 90 0.00 ##################################################################### # This table was provided by Christian Plotz. # # Calc/solve will ignore the third column # # # # Signal path variations of the 20 m Radio Telescope Wettzell (RTW) # # w.r.t. the model derived by Clark & Thomsen (1988) # # 1 Column: Elevation in degree # # 2 Column: Shift in millimetre w.r.t. 90 DEG # # 3 Column: Corresponding time delay in pico-seconds # # # # Please note: Values given in column 2 and 3 represent the # # measured deviation (error) and *not* the correction term. # # # ##################################################################### # #El[DEG] Shift[mm] Delay[ps] WETTZELL 91 3.336 0 +3.697 +12.333 1 +3.640 +12.141 2 +3.582 +11.950 3 +3.525 +11.758 4 +3.468 +11.567 5 +3.410 +11.375 6 +3.353 +11.184 7 +3.296 +10.993 8 +3.239 +10.803 9 +3.182 +10.613 10 +3.125 +10.423 11 +3.068 +10.234 12 +3.012 +10.045 13 +2.955 +9.857 14 +2.899 +9.669 15 +2.843 +9.482 16 +2.787 +9.296 17 +2.731 +9.111 18 +2.676 +8.926 19 +2.621 +8.742 20 +2.566 +8.558 21 +2.511 +8.376 22 +2.457 +8.195 23 +2.403 +8.014 24 +2.349 +7.835 25 +2.295 +7.657 26 +2.242 +7.479 27 +2.189 +7.303 28 +2.137 +7.128 29 +2.085 +6.955 30 +2.033 +6.782 31 +1.982 +6.611 32 +1.931 +6.441 33 +1.881 +6.273 34 +1.830 +6.106 35 +1.781 +5.940 36 +1.732 +5.776 37 +1.683 +5.614 38 +1.635 +5.453 39 +1.587 +5.293 40 +1.540 +5.136 41 +1.493 +4.980 42 +1.447 +4.825 43 +1.401 +4.673 44 +1.356 +4.522 45 +1.311 +4.373 46 +1.267 +4.226 47 +1.223 +4.081 48 +1.180 +3.937 49 +1.138 +3.796 50 +1.096 +3.657 51 +1.055 +3.519 52 +1.014 +3.384 53 +0.975 +3.251 54 +0.935 +3.120 55 +0.897 +2.991 56 +0.859 +2.864 57 +0.821 +2.739 58 +0.784 +2.617 59 +0.748 +2.496 60 +0.713 +2.379 61 +0.678 +2.263 62 +0.644 +2.150 63 +0.611 +2.039 64 +0.579 +1.930 65 +0.547 +1.824 66 +0.516 +1.720 67 +0.485 +1.619 68 +0.456 +1.520 69 +0.427 +1.423 70 +0.399 +1.330 71 +0.371 +1.238 72 +0.345 +1.149 73 +0.319 +1.063 74 +0.294 +0.979 75 +0.269 +0.898 76 +0.246 +0.819 77 +0.223 +0.744 78 +0.201 +0.670 79 +0.180 +0.600 80 +0.159 +0.532 81 +0.140 +0.466 82 +0.121 +0.404 83 +0.103 +0.344 84 +0.086 +0.286 85 +0.069 +0.232 86 +0.054 +0.180 87 +0.039 +0.131 88 +0.025 +0.084 89 +0.012 +0.041 90 +0.000 +0.000 ######################################################################## # # # This table was provided by Christian Plotz. # # Calc/solve will ignore the third column # # Signal path variations of the 13 m Twin Telescope Wettzell (TTW-1/2) # # w.r.t. the model derived by Clark & Thomsen (1988) # # 1 Column: Elevation in degree # # 2 Column: Shift in millimetre w.r.t. 90 DEG # # 3 Column: Corresponding time delay in pico-seconds # # # # Please note: Values given in column 2 and 3 represent the # # measured deviation (error) and *not* the correction term. # # The sub-reflector was in fixed-mode during the measurement campaign. # # # ######################################################################## # #El[DEG] Shift[mm] Delay[ps] WETTZ13S 91 3.336 0 +0.647 +2.160 1 +0.647 +2.159 2 +0.647 +2.158 3 +0.647 +2.157 4 +0.646 +2.154 5 +0.645 +2.152 6 +0.644 +2.148 7 +0.643 +2.144 8 +0.641 +2.139 9 +0.639 +2.133 10 +0.638 +2.127 11 +0.636 +2.120 12 +0.633 +2.113 13 +0.631 +2.104 14 +0.628 +2.096 15 +0.625 +2.086 16 +0.622 +2.076 17 +0.619 +2.065 18 +0.616 +2.054 19 +0.612 +2.042 20 +0.608 +2.029 21 +0.604 +2.016 22 +0.600 +2.002 23 +0.596 +1.988 24 +0.591 +1.973 25 +0.587 +1.957 26 +0.582 +1.941 27 +0.577 +1.924 28 +0.572 +1.907 29 +0.566 +1.889 30 +0.561 +1.870 31 +0.555 +1.851 32 +0.549 +1.832 33 +0.543 +1.811 34 +0.537 +1.790 35 +0.530 +1.769 36 +0.524 +1.747 37 +0.517 +1.725 38 +0.510 +1.702 39 +0.503 +1.678 40 +0.496 +1.654 41 +0.489 +1.630 42 +0.481 +1.605 43 +0.474 +1.580 44 +0.466 +1.554 45 +0.458 +1.527 46 +0.450 +1.500 47 +0.442 +1.473 48 +0.433 +1.445 49 +0.425 +1.417 50 +0.416 +1.388 51 +0.407 +1.359 52 +0.399 +1.330 53 +0.390 +1.300 54 +0.381 +1.269 55 +0.371 +1.239 56 +0.362 +1.208 57 +0.353 +1.176 58 +0.343 +1.144 59 +0.333 +1.112 60 +0.324 +1.080 61 +0.314 +1.047 62 +0.304 +1.014 63 +0.294 +0.980 64 +0.284 +0.947 65 +0.274 +0.913 66 +0.263 +0.878 67 +0.253 +0.844 68 +0.243 +0.809 69 +0.232 +0.774 70 +0.221 +0.739 71 +0.211 +0.703 72 +0.200 +0.667 73 +0.189 +0.631 74 +0.178 +0.595 75 +0.168 +0.559 76 +0.157 +0.522 77 +0.146 +0.486 78 +0.135 +0.449 79 +0.124 +0.412 80 +0.112 +0.375 81 +0.101 +0.338 82 +0.090 +0.301 83 +0.079 +0.263 84 +0.068 +0.226 85 +0.056 +0.188 86 +0.045 +0.151 87 +0.034 +0.113 88 +0.023 +0.075 89 +0.011 +0.038 90 +0.000 +0.000 ######################################################################## # # # This table was provided by Christian Plotz. # # Calc/solve will ignore the third column # Signal path variations of the 13 m Twin Telescope Wettzell (TTW-1/2) # # w.r.t. the model derived by Clark & Thomsen (1988) # # 1 Column: Elevation in degree # # 2 Column: Shift in millimetre w.r.t. 90 DEG # # 3 Column: Corresponding time delay in pico-seconds # # # # Please note: Values given in column 2 and 3 represent the # # measured deviation (error) and *not* the correction term. # # The sub-reflector was in fixed-mode during the measurement campaign. # # # ######################################################################## # #El[DEG] Shift[mm] Delay[ps] WETTZ13N 91 3.336 0 +0.647 +2.160 1 +0.647 +2.159 2 +0.647 +2.158 3 +0.647 +2.157 4 +0.646 +2.154 5 +0.645 +2.152 6 +0.644 +2.148 7 +0.643 +2.144 8 +0.641 +2.139 9 +0.639 +2.133 10 +0.638 +2.127 11 +0.636 +2.120 12 +0.633 +2.113 13 +0.631 +2.104 14 +0.628 +2.096 15 +0.625 +2.086 16 +0.622 +2.076 17 +0.619 +2.065 18 +0.616 +2.054 19 +0.612 +2.042 20 +0.608 +2.029 21 +0.604 +2.016 22 +0.600 +2.002 23 +0.596 +1.988 24 +0.591 +1.973 25 +0.587 +1.957 26 +0.582 +1.941 27 +0.577 +1.924 28 +0.572 +1.907 29 +0.566 +1.889 30 +0.561 +1.870 31 +0.555 +1.851 32 +0.549 +1.832 33 +0.543 +1.811 34 +0.537 +1.790 35 +0.530 +1.769 36 +0.524 +1.747 37 +0.517 +1.725 38 +0.510 +1.702 39 +0.503 +1.678 40 +0.496 +1.654 41 +0.489 +1.630 42 +0.481 +1.605 43 +0.474 +1.580 44 +0.466 +1.554 45 +0.458 +1.527 46 +0.450 +1.500 47 +0.442 +1.473 48 +0.433 +1.445 49 +0.425 +1.417 50 +0.416 +1.388 51 +0.407 +1.359 52 +0.399 +1.330 53 +0.390 +1.300 54 +0.381 +1.269 55 +0.371 +1.239 56 +0.362 +1.208 57 +0.353 +1.176 58 +0.343 +1.144 59 +0.333 +1.112 60 +0.324 +1.080 61 +0.314 +1.047 62 +0.304 +1.014 63 +0.294 +0.980 64 +0.284 +0.947 65 +0.274 +0.913 66 +0.263 +0.878 67 +0.253 +0.844 68 +0.243 +0.809 69 +0.232 +0.774 70 +0.221 +0.739 71 +0.211 +0.703 72 +0.200 +0.667 73 +0.189 +0.631 74 +0.178 +0.595 75 +0.168 +0.559 76 +0.157 +0.522 77 +0.146 +0.486 78 +0.135 +0.449 79 +0.124 +0.412 80 +0.112 +0.375 81 +0.101 +0.338 82 +0.090 +0.301 83 +0.079 +0.263 84 +0.068 +0.226 85 +0.056 +0.188 86 +0.045 +0.151 87 +0.034 +0.113 88 +0.023 +0.075 89 +0.011 +0.038 90 +0.000 +0.000 # # Reference # Gravitational Deformation Effects. The YEBES40M Case # A. Nothnagel, A. Springer, E. Heinz, T. Artz, P. de Vicente # Proceedings 2014 IVS General Meeting # # This YEBES model is only valid after 2011Nov11. YEBES40M 90 3.336 EPOCH 20111111 22000101 1 49.376 2 48.477 3 47.579 4 46.682 5 45.787 6 44.895 7 44.005 8 43.118 9 42.233 10 41.352 11 40.475 12 39.601 13 38.731 14 37.866 15 37.005 16 36.149 17 35.298 18 34.452 19 33.612 20 32.777 21 31.949 22 31.126 23 30.311 24 29.502 25 28.699 26 27.905 27 27.117 28 26.337 29 25.565 30 24.801 31 24.045 32 23.298 33 22.560 34 21.830 35 21.109 36 20.398 37 19.696 38 19.004 39 18.322 40 17.650 41 16.988 42 16.337 43 15.696 44 15.066 45 14.447 46 13.839 47 13.242 48 12.657 49 12.084 50 11.522 51 10.972 52 10.434 53 9.908 54 9.395 55 8.894 56 8.405 57 7.930 58 7.467 59 7.017 60 6.581 61 6.157 62 5.747 63 5.350 64 4.967 65 4.597 66 4.242 67 3.899 68 3.571 69 3.257 70 2.957 71 2.671 72 2.399 73 2.142 74 1.899 75 1.670 76 1.456 77 1.256 78 1.071 79 0.900 80 0.745 81 0.603 82 0.477 83 0.365 84 0.269 85 0.187 86 0.120 87 0.067 88 0.030 89 0.008 90 -0.000 #