Table 5.2d: Expression for the quantity s(t)+XY/2 based on the IAU 2006 precession and IAU 2000A_R06 nutation (ensuring continuity of UT1 on 1st January 2003) --------------------------------------------------------------------------------------------------- s + XY/2 = polynomial part + non-polynomial part --------------------------------------------------------------------------------------------------- Polynomial part (unit microarcsecond) 94.0 + 3808.65 t - 122.68 t^2 - 72574.11 t^3 + 27.98 t^4 + 15.62 t^5 --------------------------------------------------------------------------------------------------- Non-polynomial part (unit microarcsecond) (ARG being for various combination of the fundamental arguments of the nutation theory) Sum_i[C_{s,0})_i * sin(ARG) + C_{c,0})_i * cos(ARG)] + Sum_i,j=1,4 [C_{s,j})_i * sin(ARG) + C_{c,j})_i * cos(ARG)] * t^j The Table below provides the values for C_{s,j})_i and C_{c,j})_i Cutoff (0.1 microarcsecond and periods less than 500 years) The expressions for the fundamental arguments appearing in columns 4 to 8 (luni-solar part) and in columns 6 to 17 (planetary part) are those of the IERS Conventions 2003 ---------------------------------------------------------------------------------------------------------- i C_{s,j})_i C_{c,j})_i l l' F D Om L_Me L_Ve L_E L_Ma L_J L_Sa L_U L_Ne p_A ---------------------------------------------------------------------------------------------------------- j = 0 Number of terms = 33 1 -2640.73 0.39 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 -63.53 0.02 0 0 0 0 2 0 0 0 0 0 0 0 0 0 3 -11.75 -0.01 0 0 2 -2 3 0 0 0 0 0 0 0 0 0 4 -11.21 -0.01 0 0 2 -2 1 0 0 0 0 0 0 0 0 0 5 4.57 0.00 0 0 2 -2 2 0 0 0 0 0 0 0 0 0 6 -2.02 0.00 0 0 2 0 3 0 0 0 0 0 0 0 0 0 7 -1.98 0.00 0 0 2 0 1 0 0 0 0 0 0 0 0 0 8 1.72 0.00 0 0 0 0 3 0 0 0 0 0 0 0 0 0 9 1.41 0.01 0 1 0 0 1 0 0 0 0 0 0 0 0 0 10 1.26 0.01 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 11 0.63 0.00 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 12 0.63 0.00 1 0 0 0 1 0 0 0 0 0 0 0 0 0 13 -0.46 0.00 0 1 2 -2 3 0 0 0 0 0 0 0 0 0 14 -0.45 0.00 0 1 2 -2 1 0 0 0 0 0 0 0 0 0 15 -0.36 0.00 0 0 4 -4 4 0 0 0 0 0 0 0 0 0 16 0.24 0.12 0 0 1 -1 1 0 -8 12 0 0 0 0 0 0 17 -0.32 0.00 0 0 2 0 0 0 0 0 0 0 0 0 0 0 18 -0.28 0.00 0 0 2 0 2 0 0 0 0 0 0 0 0 0 19 -0.27 0.00 1 0 2 0 3 0 0 0 0 0 0 0 0 0 20 -0.26 0.00 1 0 2 0 1 0 0 0 0 0 0 0 0 0 21 0.21 0.00 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 22 -0.19 0.00 0 1 -2 2 -3 0 0 0 0 0 0 0 0 0 23 -0.18 0.00 0 1 -2 2 -1 0 0 0 0 0 0 0 0 0 24 0.10 -0.05 0 0 0 0 0 0 8 -13 0 0 0 0 0 -1 25 -0.15 0.00 0 0 0 2 0 0 0 0 0 0 0 0 0 0 26 0.14 0.00 2 0 -2 0 -1 0 0 0 0 0 0 0 0 0 27 0.14 0.00 0 1 2 -2 2 0 0 0 0 0 0 0 0 0 28 -0.14 0.00 1 0 0 -2 1 0 0 0 0 0 0 0 0 0 29 -0.14 0.00 1 0 0 -2 -1 0 0 0 0 0 0 0 0 0 30 -0.13 0.00 0 0 4 -2 4 0 0 0 0 0 0 0 0 0 31 0.11 0.00 0 0 2 -2 4 0 0 0 0 0 0 0 0 0 32 -0.11 0.00 1 0 -2 0 -3 0 0 0 0 0 0 0 0 0 33 -0.11 0.00 1 0 -2 0 -1 0 0 0 0 0 0 0 0 0 j = 1 Number of terms = 3 34 -0.07 3.57 0 0 0 0 2 0 0 0 0 0 0 0 0 0 35 1.73 -0.03 0 0 0 0 1 0 0 0 0 0 0 0 0 0 36 0.00 0.48 0 0 2 -2 3 0 0 0 0 0 0 0 0 0 j = 2 Number of terms = 25 37 743.52 -0.17 0 0 0 0 1 0 0 0 0 0 0 0 0 0 38 56.91 0.06 0 0 2 -2 2 0 0 0 0 0 0 0 0 0 39 9.84 -0.01 0 0 2 0 2 0 0 0 0 0 0 0 0 0 40 -8.85 0.01 0 0 0 0 2 0 0 0 0 0 0 0 0 0 41 -6.38 -0.05 0 1 0 0 0 0 0 0 0 0 0 0 0 0 42 -3.07 0.00 1 0 0 0 0 0 0 0 0 0 0 0 0 0 43 2.23 0.00 0 1 2 -2 2 0 0 0 0 0 0 0 0 0 44 1.67 0.00 0 0 2 0 1 0 0 0 0 0 0 0 0 0 45 1.30 0.00 1 0 2 0 2 0 0 0 0 0 0 0 0 0 46 0.93 0.00 0 1 -2 2 -2 0 0 0 0 0 0 0 0 0 47 0.68 0.00 1 0 0 -2 0 0 0 0 0 0 0 0 0 0 48 -0.55 0.00 0 0 2 -2 1 0 0 0 0 0 0 0 0 0 49 0.53 0.00 1 0 -2 0 -2 0 0 0 0 0 0 0 0 0 50 -0.27 0.00 0 0 0 2 0 0 0 0 0 0 0 0 0 0 51 -0.27 0.00 1 0 0 0 1 0 0 0 0 0 0 0 0 0 52 -0.26 0.00 1 0 -2 -2 -2 0 0 0 0 0 0 0 0 0 53 -0.25 0.00 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 54 0.22 0.00 1 0 2 0 1 0 0 0 0 0 0 0 0 0 55 -0.21 0.00 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 56 0.20 0.00 2 0 -2 0 -1 0 0 0 0 0 0 0 0 0 57 0.17 0.00 0 0 2 2 2 0 0 0 0 0 0 0 0 0 58 0.13 0.00 2 0 2 0 2 0 0 0 0 0 0 0 0 0 59 -0.13 0.00 2 0 0 0 0 0 0 0 0 0 0 0 0 0 60 -0.12 0.00 1 0 2 -2 2 0 0 0 0 0 0 0 0 0 61 -0.11 0.00 0 0 2 0 0 0 0 0 0 0 0 0 0 0 j = 3 Number of terms = 4 62 0.30 -23.42 0 0 0 0 1 0 0 0 0 0 0 0 0 0 63 -0.03 -1.46 0 0 2 -2 2 0 0 0 0 0 0 0 0 0 64 -0.01 -0.25 0 0 2 0 2 0 0 0 0 0 0 0 0 0 65 0.00 0.23 0 0 0 0 2 0 0 0 0 0 0 0 0 0 j = 4 Number of terms = 1 66 -0.26 -0.01 0 0 0 0 1 0 0 0 0 0 0 0 0 0