# # Reference: Artz T, Bernhard L, Nothnagel A, Steigenberger P, Tesmer S (2012) # Methodology for the combination of sub-daily Earth rotation from GPS and VLBI observations # J Geod, 86(3):221-239, DOI 10.1007/s00190-011-0512-9 # # 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 0.28 -0.03 -0.15 -1.44 - 1 -1 0 -2 -2 -2 117.655 1.21136 2.09 2.07 -2.07 2.09 0.31 0.07 0.36 -1.61 - 1 -2 0 -2 0 -1 125.745 1.16713 -0.13 1.11 -1.11 -0.13 0.28 -0.05 -0.27 -1.51 2Q1 1 -2 0 -2 0 -2 125.755 1.16693 -0.50 5.78 -5.78 -0.50 1.16 -0.26 -1.40 -6.25 - 1 0 0 -2 -2 -1 127.545 1.16055 0.09 1.09 -1.09 0.09 0.22 -0.07 -0.38 -1.19 Sigma1 1 0 0 -2 -2 -2 127.555 1.16035 0.46 5.82 -5.82 0.46 1.00 -0.34 -1.84 -5.41 - 1 -1 0 -2 0 -1 135.645 1.11970 1.09 6.20 -6.20 1.09 0.97 -0.47 -2.64 -5.44 Q1 1 -1 0 -2 0 -2 135.655 1.11951 5.62 32.94 -32.94 5.62 5.27 -2.77 -15.55 -29.58 - 1 1 0 -2 -2 -1 137.445 1.11364 0.25 1.42 -1.42 0.25 0.34 -0.19 -1.07 -1.92 Rho1 1 1 0 -2 -2 -2 137.455 1.11346 1.28 7.44 -7.44 1.28 0.90 -0.59 -3.33 -5.08 - 1 0 -1 -2 0 -2 144.556 1.07898 0.00 0.00 0.00 0.00 0.28 -0.13 -0.76 -1.63 - 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 8.91 25.46 -25.46 8.91 3.27 -2.50 -14.60 -19.10 O1 1 0 0 -2 0 -2 145.555 1.07581 47.08 134.84 -134.84 47.08 17.45 -13.11 -76.57 -101.92 - 1 -2 0 0 0 0 145.755 1.07509 -1.80 -0.17 0.17 -1.80 -0.09 0.21 1.23 0.53 - 1 0 1 -2 0 -2 146.554 1.07265 -0.20 3.72 -3.72 -0.20 -0.09 -0.17 -1.00 0.53 Tau1 1 0 0 0 -2 0 147.555 1.06951 -0.66 -1.72 1.72 -0.66 0.16 0.14 0.82 -0.94 - 1 0 0 0 -2 -1 147.565 1.06934 1.89 -0.75 0.75 1.89 -0.02 -0.13 -0.76 0.12 - 1 -1 0 -2 2 -2 153.655 1.04061 1.93 1.53 -1.53 1.93 -0.22 0.13 0.78 1.33 - 1 1 0 -2 0 -1 155.445 1.03554 0.50 -0.71 0.71 0.50 0.01 0.07 0.42 -0.06 - 1 1 0 -2 0 -2 155.455 1.03538 2.80 -3.76 3.76 2.80 -0.37 0.24 1.46 2.25 M1 1 -1 0 0 0 0 155.655 1.03472 -4.48 -9.61 9.61 -4.48 -1.07 0.76 4.61 6.50 - 1 -1 0 0 0 -1 155.665 1.03456 -0.90 -1.93 1.93 -0.90 -0.17 0.15 0.91 1.03 Chi1 1 1 0 0 -2 0 157.455 1.02954 -0.86 -1.81 1.81 -0.86 -0.06 -0.06 -0.37 0.37 - 1 1 0 0 -2 -1 157.465 1.02939 0.00 0.00 0.00 0.00 -0.01 -0.21 -1.28 0.06 Pi1 1 0 -1 -2 2 -2 162.556 1.00551 -1.24 -2.15 2.15 -1.24 0.42 -0.36 -2.25 -2.62 - 1 0 0 -2 2 -1 163.545 1.00289 -0.29 -0.58 0.58 -0.29 -0.13 -0.19 -1.19 0.81 P1 1 0 0 -2 2 -2 163.555 1.00275 24.41 46.41 -46.41 24.41 5.85 -3.05 -19.11 -36.66 - 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 17.26 8.09 -8.09 17.26 -0.53 0.44 2.76 3.33 - 1 0 0 0 0 1 165.545 0.99742 1.54 3.00 -3.00 1.54 0.72 -0.36 -2.27 -4.54 K1 1 0 0 0 0 0 165.555 0.99727 -84.81 -156.66 156.66 -84.81 -17.29 8.94 56.33 108.93 - 1 0 0 0 0 -1 165.565 0.99712 -11.51 -21.23 21.23 -11.51 -2.33 1.21 7.62 14.68 - 1 0 0 0 0 -2 165.575 0.99698 0.23 0.44 -0.44 0.23 0.05 -0.03 -0.19 -0.32 Psi1 1 0 1 0 0 0 166.554 0.99455 0.21 -3.25 3.25 0.21 -0.33 -0.18 -1.14 2.08 Phi1 1 0 0 2 -2 2 167.555 0.99185 -1.09 -2.11 2.11 -1.09 -0.11 -0.11 -0.70 0.70 Theta1 1 -1 0 0 2 0 173.655 0.96696 -2.47 -1.57 1.57 -2.47 -0.29 0.04 0.26 1.88 - 1 -1 0 0 2 -1 173.665 0.96682 3.12 1.88 -1.88 3.12 0.00 0.00 0.00 0.00 J1 1 1 0 0 0 0 175.455 0.96244 -5.11 -8.30 8.30 -5.11 -1.13 0.59 3.85 7.38 - 1 1 0 0 0 -1 175.465 0.96230 -1.02 -1.64 1.64 -1.02 -0.22 0.12 0.78 1.44 SO1 1 0 0 0 2 0 183.555 0.93417 -1.27 0.87 -0.87 -1.27 -0.24 0.32 2.15 1.61 - 1 2 0 0 0 0 185.355 0.92995 -0.17 -0.51 0.51 -0.17 -0.03 0.17 1.15 0.20 OO1 1 0 0 2 0 2 185.555 0.92942 -5.10 -5.71 5.71 -5.10 -0.62 0.51 3.45 4.19 - 1 0 0 2 0 1 185.565 0.92929 -3.27 -3.65 3.65 -3.27 -0.49 0.32 2.16 3.31 - 1 0 0 2 0 0 185.575 0.92917 -0.68 -0.77 0.77 -0.68 -0.09 0.07 0.47 0.61 Upsilon1 1 1 0 2 0 2 195.455 0.89909 -1.84 -0.12 0.12 -1.84 -0.06 0.16 1.12 0.42 - 1 1 0 2 0 1 195.465 0.89897 -1.17 -0.10 0.10 -1.17 0.01 0.03 0.21 -0.07 - 2 -2 0 -2 -2 -2 217.755 0.55805 -0.73 -1.22 -1.22 0.73 0.10 -0.03 -0.34 -1.13 - 2 -3 0 -2 0 -2 225.855 0.54843 -0.50 -0.05 0.63 0.24 0.02 -0.01 -0.11 -0.23 Epsilon2 2 -1 0 -2 -2 -2 227.655 0.54697 -3.77 -0.61 1.09 3.13 0.05 -0.21 -2.41 -0.57 - 2 1 0 -2 -4 -2 229.455 0.54552 -1.42 0.88 0.88 1.42 0.00 -0.09 -1.04 -0.00 2N2 2 -2 0 -2 0 -2 235.755 0.53772 -10.00 -0.57 2.13 7.12 -0.70 -0.39 -4.56 8.18 - 2 0 0 -2 -2 -1 237.545 0.53637 1.46 1.53 1.53 -1.46 0.00 0.00 0.00 0.00 Mu2 2 0 0 -2 -2 -2 237.555 0.53632 -10.78 -2.53 -0.49 6.50 -0.56 -0.85 -9.96 6.56 - 2 0 1 -2 -2 -2 238.554 0.53554 -0.70 0.86 0.76 2.72 -0.05 -0.01 -0.12 0.59 - 2 -1 -1 -2 0 -2 244.656 0.52819 1.94 -1.51 -1.73 -1.74 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 0.06 0.17 2.03 -0.71 N2 2 -1 0 -2 0 -2 245.655 0.52743 -54.61 -11.20 11.02 31.35 -3.30 -1.84 -21.92 39.31 - 2 -1 1 -2 0 -2 246.654 0.52667 -1.65 1.14 1.36 1.41 -0.10 0.10 1.19 1.19 - 2 1 0 -2 -2 -1 247.445 0.52612 -0.10 0.99 -0.99 -0.10 0.04 0.06 0.72 -0.48 Nu2 2 1 0 -2 -2 -2 247.455 0.52608 -9.56 -2.65 2.13 7.86 -0.70 -0.30 -3.58 8.36 - 2 1 1 -2 -2 -2 248.454 0.52533 1.62 1.15 -1.67 -0.72 -0.03 -0.01 -0.12 0.36 - 2 -2 0 -2 2 -2 253.755 0.51883 1.79 0.11 -0.11 -1.39 0.05 0.02 0.24 -0.61 - 2 0 -1 -2 0 -2 254.556 0.51826 -0.02 -0.53 -0.77 0.48 0.03 -0.14 -1.70 -0.36 - 2 0 0 -2 0 -1 255.545 0.51756 12.46 1.01 -0.83 -7.66 0.45 0.26 3.16 -5.46 M2 2 0 0 -2 0 -2 255.555 0.51753 -324.29 -27.69 51.83 183.57 -14.91 -9.02 -109.51 181.02 - 2 0 1 -2 0 -2 256.554 0.51679 -0.77 0.38 1.24 2.21 -0.00 0.16 1.95 0.00 - 2 0 0 0 -2 0 257.555 0.51606 -1.85 0.24 0.24 1.85 -0.12 -0.03 -0.37 1.46 Lambda2 2 -1 0 -2 2 -2 263.655 0.50924 1.20 0.34 0.18 -0.22 0.07 -0.03 -0.37 -0.86 L2 2 1 0 -2 0 -2 265.455 0.50798 8.13 -1.64 -2.08 -4.37 0.43 0.37 4.58 -5.32 - 2 -1 0 0 0 0 265.655 0.50782 -3.34 0.96 1.68 0.18 -0.15 -0.22 -2.72 1.86 - 2 -1 0 0 0 -1 265.665 0.50779 -1.48 0.44 0.74 0.08 -0.07 -0.09 -1.11 0.87 - 2 1 0 0 -2 0 267.455 0.50658 -1.17 -0.45 0.45 -1.17 -0.00 -0.13 -1.61 0.00 - 2 0 -2 -2 2 -2 271.557 0.50137 -2.01 0.84 0.84 2.01 0.02 0.12 1.50 -0.25 T2 2 0 -1 -2 2 -2 272.556 0.50069 -5.73 2.74 6.14 1.19 0.03 0.86 10.79 -0.38 S2 2 0 0 -2 2 -2 273.555 0.50000 -125.17 69.18 70.98 78.39 -7.25 -0.97 -12.19 91.11 R2 2 0 1 -2 2 -2 274.554 0.49932 7.90 1.87 -3.09 -2.44 0.35 -0.66 -8.31 -4.40 - 2 0 0 0 0 1 275.545 0.49867 0.49 -0.25 -0.23 -0.29 -0.06 0.25 3.15 0.76 K2 2 0 0 0 0 0 275.555 0.49863 -40.34 12.55 22.87 24.72 -1.83 -0.03 -0.38 23.06 - 2 0 0 0 0 -1 275.565 0.49860 -11.98 3.77 6.87 7.38 -0.67 0.14 1.76 8.44 - 2 0 0 0 0 -2 275.575 0.49856 -1.29 0.42 0.74 0.81 -0.07 0.00 0.00 0.88 Zeta2 2 -1 0 0 2 0 283.655 0.49094 0.36 1.52 1.52 -0.36 0.15 -0.04 -0.51 -1.92 Eta2 2 1 0 0 0 0 285.455 0.48977 -2.29 2.41 2.33 1.57 -0.15 0.04 0.51 1.92 - 2 1 0 0 0 -1 285.465 0.48974 -1.00 1.04 1.02 0.68 -0.06 0.02 0.26 0.77 - 2 0 0 0 2 0 293.555 0.48235 0.00 0.00 0.00 0.00 -0.09 -0.01 -0.13 1.17 - 2 0 0 2 0 2 295.555 0.48107 -1.44 0.25 3.11 3.62 0.02 0.12 1.57 -0.26 - 2 0 0 2 0 1 295.565 0.48104 1.08 1.78 1.78 -1.08 0.11 0.01 0.13 -1.44 - 1 0 0 -3 0 -3 - 1.11990 1.49 0.70 -0.70 1.49 -0.01 -0.42 -2.36 0.06 - 1 0 0 -1 0 -1 - 1.03505 2.04 -0.46 0.46 2.04 -0.47 -0.36 -2.19 2.85 - 1 0 0 1 0 1 - 0.96215 -0.51 -1.52 1.52 -0.51 -0.20 -0.12 -0.78 1.31 - 3 0 0 -3 0 -3 - 0.34502 0.56 0.88 0.88 -0.56 -0.06 -0.09 -1.64 1.09 - 3 0 0 -1 0 -1 - 0.33652 -0.60 0.79 -1.81 0.98 0.00 0.00 0.00 0.00 - 3 -1 0 -3 0 -3 - 0.34939 1.24 0.31 -0.31 1.24 0.00 0.00 0.00 0.00 - 2 0 0 -1 0 -1 - 0.50790 0.23 2.11 4.19 0.19 0.00 0.00 0.00 0.00 - 2 0 0 -3 0 -3 - 0.52752 1.34 1.83 1.83 -1.34 0.00 0.00 0.00 0.00 - 2 -1 0 -3 0 -3 - 0.53781 -1.32 -0.57 -0.57 1.32 0.00 0.00 0.00 0.00