# # Reference: Artz T, Böckmann S, Nothnagel A (2011), Assessment of Periodic Sub-diurnal Earth # Orientation Parameter Variations at Tidal Frequencies via Transformation of VLBI Normal Equation Systems. # J Geod 85(9):565-584, DOI 10.1007/s00190-011-0457-z # # Arguments are from 2010 IERS conventions: GMST+pi, l, l0, F, D, Omega # X-pole Y-Pole UT1 LOD #Tide Args Doodson Period Sin Cos Sin Cos Sin Cos Sin Cos - 1 -3 0 -2 0 -2 115.855 1.21853 0.00 0.00 0.00 0.00 0.38 0.23 1.19 -1.96 - 1 -1 0 -2 -2 -2 117.655 1.21136 -0.05 0.94 -0.94 -0.05 0.24 -0.38 -1.97 -1.24 - 1 -2 0 -2 0 -1 125.745 1.16713 -4.07 5.86 -5.86 -4.07 0.20 -0.06 -0.32 -1.08 2Q1 1 -2 0 -2 0 -2 125.755 1.16693 0.09 10.93 -10.93 0.09 0.93 -0.21 -1.13 -5.01 - 1 0 0 -2 -2 -1 127.545 1.16055 0.08 0.78 -0.78 0.08 0.38 0.14 0.76 -2.06 Sigma1 1 0 0 -2 -2 -2 127.555 1.16035 5.47 6.67 -6.67 5.47 0.88 -0.37 -2.00 -4.77 - 1 -1 0 -2 0 -1 135.645 1.11970 0.31 6.71 -6.71 0.31 0.98 -0.59 -3.31 -5.50 Q1 1 -1 0 -2 0 -2 135.655 1.11951 8.51 28.09 -28.09 8.51 5.08 -2.59 -14.54 -28.51 - 1 1 0 -2 -2 -1 137.445 1.11364 0.24 0.94 -0.94 0.24 0.13 -0.11 -0.62 -0.73 Rho1 1 1 0 -2 -2 -2 137.455 1.11346 2.06 6.15 -6.15 2.06 0.90 -0.75 -4.23 -5.08 - 1 0 -1 -2 0 -2 144.556 1.07898 4.26 2.00 -2.00 4.26 0.00 0.00 0.00 0.00 - 1 0 0 -2 0 0 145.535 1.07615 -0.28 -0.77 0.77 -0.28 -0.09 0.07 0.41 0.53 - 1 0 0 -2 0 -1 145.545 1.07598 6.20 27.00 -27.00 6.20 3.12 -2.43 -14.19 -18.22 O1 1 0 0 -2 0 -2 145.555 1.07581 45.53 138.94 -138.94 45.53 17.92 -13.27 -77.50 -104.66 - 1 -2 0 0 0 0 145.755 1.07509 -0.32 -0.86 0.86 -0.32 -0.10 0.08 0.47 0.58 Tau1 1 0 0 0 -2 0 147.555 1.06951 2.17 3.32 -3.32 2.17 -0.19 0.15 0.88 1.12 - 1 -1 0 -2 2 -2 153.655 1.04061 -0.42 -0.92 0.92 -0.42 -0.08 0.07 0.42 0.48 - 1 1 0 -2 0 -1 155.445 1.03554 -0.30 -0.64 0.64 -0.30 -0.32 0.20 1.21 1.94 - 1 1 0 -2 0 -2 155.455 1.03538 -1.61 -3.46 3.46 -1.61 -0.37 0.24 1.46 2.25 M1 1 -1 0 0 0 0 155.655 1.03472 -6.48 -5.55 5.55 -6.48 -0.99 0.58 3.52 6.01 - 1 -1 0 0 0 -1 155.665 1.03456 -0.90 -1.93 1.93 -0.90 -0.27 0.14 0.85 1.64 Chi1 1 1 0 0 -2 0 157.455 1.02954 -0.86 -1.81 1.81 -0.86 -0.06 0.17 1.04 0.37 Pi1 1 0 -1 -2 2 -2 162.556 1.00551 4.28 5.11 -5.11 4.28 0.33 -0.28 -1.75 -2.06 - 1 0 0 -2 2 -1 163.545 1.00289 -0.29 -0.58 0.58 -0.29 -0.06 0.04 0.25 0.38 P1 1 0 0 -2 2 -2 163.555 1.00275 26.29 52.38 -52.38 26.29 5.41 -3.87 -24.25 -33.90 - 1 0 1 -2 2 -2 164.554 1.00000 -0.22 -0.42 0.42 -0.22 -0.05 0.03 0.19 0.31 S1 1 0 -1 0 0 0 164.556 1.00000 10.36 -8.79 8.79 10.36 -0.97 -0.16 -1.01 6.09 - 1 0 0 0 0 1 165.545 0.99742 1.54 3.00 -3.00 1.54 0.52 -0.43 -2.71 -3.28 K1 1 0 0 0 0 0 165.555 0.99727 -90.52 -165.48 165.48 -90.52 -17.10 9.58 60.36 107.74 - 1 0 0 0 0 -1 165.565 0.99712 -3.07 -21.97 21.97 -3.07 -2.15 0.70 4.41 13.55 - 1 0 0 0 0 -2 165.575 0.99698 -0.47 -4.52 4.52 -0.47 0.29 0.42 2.65 -1.83 Psi1 1 0 1 0 0 0 166.554 0.99455 -2.95 -2.25 2.25 -2.95 -0.14 0.07 0.44 0.88 Phi1 1 0 0 2 -2 2 167.555 0.99185 1.21 -3.53 3.53 1.21 -0.39 0.04 0.25 2.47 Theta1 1 -1 0 0 2 0 173.655 0.96696 -0.69 -1.43 1.43 -0.69 -0.20 0.06 0.39 1.30 - 1 -1 0 0 2 -1 173.665 0.96682 2.48 3.53 -3.53 2.48 0.17 0.09 0.58 -1.10 J1 1 1 0 0 0 0 175.455 0.96244 -1.42 -8.24 8.24 -1.42 -1.06 0.55 3.59 6.92 - 1 1 0 0 0 -1 175.465 0.96230 -0.69 -1.44 1.44 -0.69 -0.23 -0.01 -0.07 1.50 SO1 1 0 0 0 2 0 183.555 0.93417 -4.44 1.16 -1.16 -4.44 -0.20 0.28 1.88 1.35 - 1 2 0 0 0 0 185.355 0.92995 -0.17 -0.51 0.51 -0.17 -0.40 -0.06 -0.41 2.70 OO1 1 0 0 2 0 2 185.555 0.92942 -7.88 -4.54 4.54 -7.88 -0.45 0.41 2.77 3.04 - 1 0 0 2 0 1 185.565 0.92929 -0.70 -2.19 2.19 -0.70 -0.65 0.57 3.85 4.39 - 1 0 0 2 0 0 185.575 0.92917 2.79 -2.69 2.69 2.79 -0.19 -0.01 -0.07 1.28 Upsilon1 1 1 0 2 0 2 195.455 0.89909 -1.69 4.26 -4.26 -1.69 -0.40 -0.02 -0.14 2.80 - 1 1 0 2 0 1 195.465 0.89897 -4.78 -2.76 2.76 -4.78 0.31 0.14 0.98 -2.17 - 2 -3 0 -2 0 -2 225.855 0.54843 -3.57 -2.94 -2.26 3.31 -0.09 -0.01 -0.11 1.03 Epsilon2 2 -1 0 -2 -2 -2 227.655 0.54697 -3.15 -1.18 0.52 2.51 0.05 -0.16 -1.84 -0.57 - 2 1 0 -2 -4 -2 229.455 0.54552 -2.59 -3.87 3.87 -2.59 0.08 -0.07 -0.81 -0.92 2N2 2 -2 0 -2 0 -2 235.755 0.53772 -8.50 -3.00 2.28 10.64 -0.68 -0.18 -2.10 7.95 Mu2 2 0 0 -2 -2 -2 237.555 0.53632 -11.16 -8.25 1.47 4.88 -0.56 -0.75 -8.79 6.56 - 2 0 1 -2 -2 -2 238.554 0.53554 -3.03 2.68 3.04 2.79 -0.05 -0.01 -0.12 0.59 - 2 -1 -1 -2 0 -2 244.656 0.52819 2.44 -2.29 -2.51 -2.24 0.03 0.01 0.12 -0.36 - 2 -1 0 -2 0 -1 245.645 0.52747 2.12 0.49 -0.41 -1.22 0.14 0.06 0.71 -1.67 N2 2 -1 0 -2 0 -2 245.655 0.52743 -52.83 -10.21 11.45 28.47 -3.33 -1.95 -23.23 39.67 - 2 -1 1 -2 0 -2 246.654 0.52667 -0.54 -0.12 0.10 0.30 -0.04 -0.01 -0.12 0.48 - 2 1 0 -2 -2 -1 247.445 0.52612 -2.56 1.71 1.71 2.56 0.20 0.10 1.19 -2.39 Nu2 2 1 0 -2 -2 -2 247.455 0.52608 -11.23 -2.20 2.10 6.63 -0.53 -0.18 -2.15 6.33 - 2 1 1 -2 -2 -2 248.454 0.52533 -0.52 -0.11 0.07 0.30 -0.03 -0.01 -0.12 0.36 - 2 -2 0 -2 2 -2 253.755 0.51883 3.22 -0.71 -0.93 -2.82 0.05 0.02 0.24 -0.61 - 2 0 -1 -2 0 -2 254.556 0.51826 -1.40 1.29 1.05 1.86 -0.10 -0.15 -1.82 1.21 - 2 0 0 -2 0 -1 255.545 0.51756 12.20 5.16 -4.86 6.34 0.50 0.30 3.64 -6.07 M2 2 0 0 -2 0 -2 255.555 0.51753 -323.19 -14.49 54.49 172.65 -14.72 -9.26 -112.42 178.71 - 2 0 1 -2 0 -2 256.554 0.51679 -0.76 1.85 -4.59 2.82 -0.07 0.18 2.19 0.85 - 2 0 0 0 -2 0 257.555 0.51606 0.00 0.00 0.00 0.00 -0.19 0.08 0.97 2.31 Lambda2 2 -1 0 -2 2 -2 263.655 0.50924 2.47 -0.28 -0.44 -1.49 0.03 0.17 2.10 -0.37 L2 2 1 0 -2 0 -2 265.455 0.50798 7.26 -2.12 -2.56 -3.50 0.35 0.31 3.83 -4.33 - 2 -1 0 0 0 0 265.655 0.50782 -2.92 2.48 2.58 1.98 -0.11 -0.03 -0.37 1.36 - 2 -1 0 0 0 -1 265.665 0.50779 -1.80 -1.66 2.04 -0.14 -0.05 -0.01 -0.12 0.62 - 2 1 0 0 -2 0 267.455 0.50658 2.57 -1.77 -1.77 -2.57 0.00 0.00 0.00 0.00 - 2 0 -2 -2 2 -2 271.557 0.50137 -1.44 -1.69 1.69 -1.44 0.00 0.00 0.00 0.00 T2 2 0 -1 -2 2 -2 272.556 0.50069 -6.83 -0.84 6.34 -0.87 -0.37 0.08 1.00 4.64 S2 2 0 0 -2 2 -2 273.555 0.50000 -134.94 75.81 73.51 75.40 -7.34 -0.94 -11.81 92.24 R2 2 0 1 -2 2 -2 274.554 0.49932 0.43 5.52 1.08 3.53 0.25 -0.09 -1.13 -3.15 - 2 0 0 0 0 1 275.545 0.49867 1.59 -5.92 -11.94 1.29 -0.11 0.23 2.90 1.39 K2 2 0 0 0 0 0 275.555 0.49863 -39.38 17.97 25.13 6.46 -2.38 0.06 0.76 29.99 - 2 0 0 0 0 -1 275.565 0.49860 -9.47 4.68 4.26 4.91 -0.83 -0.13 -1.64 10.46 - 2 0 0 0 0 -2 275.575 0.49856 -1.35 -4.39 1.67 2.97 -0.08 0.33 4.16 1.01 Eta2 2 1 0 0 0 0 285.455 0.48977 -1.77 1.79 1.71 1.05 -0.15 0.04 0.51 1.92 - 2 1 0 0 0 -1 285.465 0.48974 -1.57 -3.10 -3.12 1.25 -0.06 0.02 0.26 0.77 - 2 0 0 0 2 0 293.555 0.48235 -1.26 4.94 -0.46 -4.44 -0.20 -0.11 -1.43 2.61 - 2 0 0 2 0 2 295.555 0.48107 -4.25 0.73 0.77 4.11 0.01 0.13 1.70 -0.13 - 2 0 0 2 0 1 295.565 0.48104 6.17 0.25 3.11 -0.29 0.00 0.00 0.00 0.00 - 1 0 0 -3 0 -3 - 1.11990 1.12 2.97 -2.97 1.12 -0.05 -0.53 -2.97 0.28 - 1 0 0 -1 0 -1 - 1.03505 0.00 0.00 0.00 0.00 -0.56 -0.35 -2.12 3.40 - 1 0 0 1 0 1 - 0.96215 0.00 0.00 0.00 0.00 -0.24 -0.12 -0.78 1.57 - 3 0 0 -3 0 -3 - 0.34502 0.00 0.00 0.00 0.00 0.06 -0.10 -1.82 -1.09 - 4 -2 0 -4 0 -4 - 0.26372 0.00 0.00 0.00 0.00 0.09 0.22 5.24 -2.14 - 4 0 0 -4 0 -4 - 0.25876 2.72 2.47 2.47 -2.72 -0.00 -0.20 -4.86 0.00 - 4 0 0 -4 4 -4 - 0.25000 0.00 0.00 0.00 0.00 0.05 -0.13 -3.27 -1.26 - 3 0 0 0 0 0 - 0.33242 6.16 4.35 5.25 1.22 0.00 0.00 0.00 0.00 - 3 0 0 -3 3 -3 - 0.33333 -4.58 -2.12 2.96 -0.16 0.00 0.00 0.00 0.00 - 3 0 0 -1 0 -1 - 0.33652 -1.95 1.36 -1.36 -1.95 0.00 0.00 0.00 0.00 - 3 -1 0 -3 0 -3 - 0.34939 3.95 0.94 -0.94 3.95 0.00 0.00 0.00 0.00 - 2 -1 0 -3 0 -3 - 0.53781 2.61 1.68 -1.68 2.61 0.00 0.00 0.00 0.00 - 1 -1 0 -1 0 -1 - 1.07545 5.83 -2.63 2.63 5.83 0.00 0.00 0.00 0.00 - 2 0 0 -1 0 -1 - 0.50790 3.10 1.69 1.69 -3.10 0.00 0.00 0.00 0.00 - 2 0 0 -3 0 -3 - 0.52752 5.23 1.49 1.49 -5.23 0.00 0.00 0.00 0.00