| DIURNAL AND SEMIDIURNAL OCEAN TIDE VARIATIONS OF UT1/LOD (IERS 2003 CONVENTIONS) |
| Oceanic tides cause diurnal and semidiurnal components in UT1 and length of day (LOD). Table here below comes from the IERS 2003 conventions. It includes 71 periodic components (41 diurnal terms, 30 semidiurnal terms) under the form : ΔLOD = Σi Hi sin ξi + Ki cos ξi where ξi is integer linear combination of Delaunay arguments, GMST + π and constant phase : ξi = a1 (GMST +π) + a2 l + a3 l' + a4 D + a5 F + a6Ω. Unit for Fi, Gi (ΔUT1) and for Hi, Ki (ΔLOD) is microsecond. |
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IERS Conventions
SYRTE 
GRGS
GMST+π l l' F D Ω Doodson PERIOD Fi Gi Hi Ki
(days) (sin) (cos) (sin) (cos)
1 -1 0 -2 -2 -2 117.655 1.2113611 0.40 -0.08 -0.41 -2.06
1 -2 0 -2 0 -1 125.745 1.1671262 0.19 -0.06 -0.32 -1.05
2Q1 1 -2 0 -2 0 -2 125.755 1.1669259 1.03 -0.31 -1.69 -5.57
1 0 0 -2 -2 -1 127.545 1.1605476 0.22 -0.07 -0.39 -1.21
σ1 1 0 0 -2 -2 -2 127.555 1.1603495 1.19 -0.39 -2.09 -6.43
1 -1 0 -2 0 -1 135.645 1.1196993 0.97 -0.47 -2.66 -5.42
Q1 1 -1 0 -2 0 -2 135.655 1.1195148 5.12 -2.50 -14.02 -28.72
1 1 0 -2 -2 -1 137.445 1.1136429 0.17 -0.09 -0.51 -0.97
RO1 1 1 0 -2 -2 -2 137.455 1.1134606 0.91 -0.47 -2.68 -5.14
1 0 0 -2 0 0 145.535 1.0761465 -0.09 0.07 0.41 0.54
1 0 0 -2 0 -1 145.545 1.0759762 3.03 -2.28 -13.31 -17.67
O1 1 0 0 -2 0 -2 145.555 1.0758059 16.02 -12.07 -70.47 -93.58
1 -2 0 0 0 0 145.755 1.0750901 -0.10 0.08 0.46 0.60
T01 1 0 0 0 -2 0 147.555 1.0695055 -0.19 0.15 0.91 1.14
1 -1 0 -2 2 -2 153.655 1.0406147 -0.08 0.07 0.45 0.50
1 1 0 -2 0 -1 155.445 1.0355395 -0.06 0.05 0.31 0.35
1 1 0 -2 0 -2 155.455 1.0353817 -0.31 0.27 1.65 1.87
M1 1 -1 0 0 0 0 155.655 1.0347187 -0.86 0.75 4.56 5.20
1 -1 0 0 0 -1 155.665 1.0345612 -0.17 0.15 0.91 1.04
ξ1 1 1 0 0 -2 0 157.455 1.0295447 -0.16 0.14 0.84 0.98
π1 1 0 -1 -2 2 -2 162.556 1.0055058 0.31 -0.19 -1.18 -1.97
1 0 0 -2 2 -1 163.545 1.0028933 -0.06 0.03 0.22 0.39
P1 1 0 0 -2 2 -2 163.555 1.0027454 5.51 -3.10 -19.40 -34.54
1 0 1 -2 2 -2 164.554 1.0000001 -0.05 0.02 0.16 0.30
S1 1 0 -1 0 0 0 164.556 0.9999999 -0.13 0.07 0.44 0.84
1 0 0 0 0 1 165.545 0.9974159 0.35 -0.17 -1.07 -2.19
K1 1 0 0 0 0 0 165.555 0.9972695 -17.62 8.55 53.86 111.01
1 0 0 0 0 -1 165.565 0.9971233 -2.39 1.16 7.30 15.07
1 0 0 0 0 -2 165.575 0.9969771 0.05 -0.03 -0.16 -0.33
ψ1 1 0 1 0 0 0 166.554 0.9945541 -0.14 0.06 0.41 0.91
φ1 1 0 0 2 -2 2 167.555 0.9918532 -0.27 0.11 0.70 1.69
TT1 1 -1 0 0 2 0 173.655 0.9669565 -0.29 0.04 0.28 1.87
J1 1 1 0 0 0 0 175.455 0.9624365 -1.61 0.19 1.22 10.51
1 1 0 0 0 -1 175.465 0.9623003 -0.32 0.04 0.24 2.09
SO1 1 0 0 0 2 0 183.555 0.9341741 -0.41 -0.01 -0.04 2.74
1 2 0 0 0 0 185.355 0.9299547 -0.21 -0.01 -0.03 1.44
OO1 1 0 0 2 0 2 185.555 0.9294198 -1.44 -0.04 -0.25 9.70
1 0 0 2 0 1 185.565 0.9292927 -0.92 -0.02 -0.16 6.23
1 0 0 2 0 0 185.575 0.9291657 -0.19 0.00 -0.03 1.30
ν1 1 1 0 2 0 2 195.455 0.8990932 -0.40 -0.02 -0.17 2.77
1 1 0 2 0 1 195.465 0.8989743 -0.25 -0.02 -0.11 1.77
---------------------------------------------------------------------------------------
2 -3 0 -2 0 -2 225.855 0.5484264 -0.09 -0.01 -0.12 1.02
2 -1 0 -2 -2 -2 227.655 0.5469695 -0.22 -0.03 -0.37 2.57
2N2 2 -2 0 -2 0 -2 235.755 0.5377239 -0.64 -0.18 -2.06 7.44
μ2 2 0 0 -2 -2 -2 237.555 0.5363232 -0.74 -0.22 -2.61 8.72
2 0 1 -2 -2 -2 238.554 0.5355369 -0.05 -0.02 -0.18 0.58
2 -1 -1 -2 0 -2 244.656 0.5281939 0.03 0.01 0.16 -0.39
2 -1 0 -2 0 -1 245.645 0.5274721 0.14 0.06 0.70 -1.68
N2 2 -1 0 -2 0 -2 245.655 0.5274312 -3.79 -1.56 -18.57 45.20
2 -1 1 -2 0 -2 246.654 0.5266707 -0.03 -0.01 -0.18 0.41
ν2 2 1 0 -2 -2 -2 247.455 0.5260835 -0.70 -0.30 -3.57 8.33
2 1 1 -2 -2 -2 248.454 0.5253269 -0.03 -0.01 -0.16 0.38
2 -2 0 -2 2 -2 253.755 0.5188292 0.05 0.02 0.27 -0.60
2 0 -1 -2 0 -2 254.556 0.5182593 0.06 0.03 0.31 -0.68
2 0 0 -2 0 -1 255.545 0.5175645 0.60 0.27 3.23 -7.34
M2 2 0 0 -2 0 -2 255.555 0.5175251 -16.19 -7.15 -86.79 196.58
2 0 1 -2 0 -2 256.554 0.5167928 -0.05 -0.02 -0.26 0.59
λ2 2 -1 0 -2 2 -2 263.655 0.5092406 0.11 0.03 0.43 -1.37
L2 2 1 0 -2 0 -2 265.455 0.5079842 0.42 0.12 1.44 -5.25
2 -1 0 0 0 0 265.655 0.5078245 -0.11 -0.03 -0.36 1.32
2 -1 0 0 0 -1 265.665 0.5077866 -0.05 -0.01 -0.16 0.58
T2 2 0 -1 -2 2 -2 272.556 0.5006854 -0.44 -0.02 -0.24 5.48
S2 2 0 0 -2 2 -2 273.555 0.5000000 -7.55 -0.16 -2.00 94.83
R2 2 0 1 -2 2 -2 274.554 0.4993165 0.06 0.00 0.00 -0.80
2 0 0 0 0 1 275.545 0.4986714 0.03 0.00 -0.01 -0.34
K2 2 0 0 0 0 0 275.555 0.4986348 -2.10 0.04 0.52 26.51
2 0 0 0 0 -1 275.565 0.4985982 -0.63 0.01 0.19 7.91
2 0 0 0 0 -2 275.575 0.4985616 -0.07 0.00 0.02 0.86
2 1 0 0 0 0 285.455 0.4897717 -0.15 0.04 0.48 1.87
2 1 0 0 0 -1 285.465 0.4897365 -0.06 0.02 0.21 0.82
2 0 0 2 0 2 295.555 0.4810750 -0.05 0.02 0.24 0.63
Delaunay arguments
(IERS Conventions 2000, from Simon et al., 1994, Astron. Astrophys. 282, 663-683):