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Table A.1

is the polynomial part of the Hansen coefficients .

n m n m

2 0 1 8 0 +1 + 15/2e2 + 45/8e4 + 5/16e6
3 0 1 8 1 +3e + 15/2e3 + 15/8e5
3 1  +1/2e 8 2 +15/4e2 + 15/4e4 + 15/64e6
4 0  +1 + 1/2e2 8 3 +5/2e3 + 15/16e5
4 1  +e 8 4 +15/16e4 + 3/32e6
4 2  +1/4e2 8 5  +3/16e5
5 0  +1 + 3/2e2 8 6  +1/64e6
5 1 +3/2e + 3/8e3 9 0 +1 + 21/2e2 + 105/8e4 + 35/16e6
5 2  +3/4e2 9 1 +7/2e +105/8e3 + 105/16e5 + 35/128e7
5 3  +1/8e3 9 2 +21/4e2 + 35/4e4 + 105/64e6
6 0 +1 + 3e2 + 3/8e4 9 3 +35/8e3 + 105/32e5 + 21/128e7
6 1 +2e + 3/2e3 9 4 +35/16e4 + 21/32e6
6 2 +3/2e2 + 1/4e4 9 5 +21/32e5 + 7/128e7
6 3  +1/2e3 9 6  +7/64e6
6 4  +1/16e4 9 7  +1/128e7
7 0 +1 + 5e2 + 15/8e4 10 0 +1 + 14e2 + 105/4e4 + 35/4e6 + 35/128e8
7 1 +5/2e + 15/4e3 + 5/16e5 10 1 +4e + 21e3 + 35/2e5 + 35/16e7
7 2 +5/2e2 + 5/4e4 10 2 +7e2 + 35/2e4 + 105/16e6 + 7/32e8
7 3 +5/4e3 + 5/32e5 10 3 +7e3 + 35/4e5 + 21/16e7
7 4  +5/16e4 10 4 +35/8e4 + 21/8e6 + 7/64e8
7 5  +1/32e5 10 5 +7/4e5 + 7/16e7
10 6 +7/16e6 + 1/32e8
10 7  +1/16e7
10 8  +1/256e8

Notes. For (0 ≤ n ≤ 10,0 ≤ m ≤ n − 2), the full Hansen coefficients are . For n ≥ 2, we have also . For n = 1, we have and .

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