Expression for the quantity s(t)+XY/2 based on the IAU2000A precession-nutation
model
Updated Table (12/11/2003) for ensuring continuity of UT1 on 1st January 2003
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s + XY/2 = polynomial part + non-polynomial part
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Polynomial part (unit microarcsecond)
94.0 + 3808.35 t - 119.94 t^2 - 72574.09 t^3 + 27.70 t^4 + 15.61 t^5
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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 * t^j * 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 2000
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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
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j = 0 Nb 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 Nb of terms = 3
34 -0.07 3.57 0 0 0 0 2 0 0 0 0 0 0 0 0 0
35 1.71 -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 Nb of terms = 25
37 743.53 -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 Nb of terms = 4
62 0.30 -23.51 0 0 0 0 1 0 0 0 0 0 0 0 0 0
63 -0.03 -1.39 0 0 2 -2 2 0 0 0 0 0 0 0 0 0
64 -0.01 -0.24 0 0 2 0 2 0 0 0 0 0 0 0 0 0
65 0.00 0.22 0 0 0 0 2 0 0 0 0 0 0 0 0 0
j = 4 Nb of terms = 1
66 -0.26 -0.01 0 0 0 0 1 0 0 0 0 0 0 0 0 0