Version 2019Nov16 # This file contains gravitaional deformation information for various antennas. # # History: (Most recent first) # 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. 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 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 # 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 # 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 # 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 # # Pierguido Sarti, Monia Negusini, Claudio Abbondanza # 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 # # 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 # Graviational 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. # Notice the NEGATIVE value for the scale factor. 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