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USNO Circular 179 - U.S. Naval Observatory

USNO Circular 179 - U.S. Naval Observatory

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NUTATION SERIES 99<br />

Term<br />

i j= 1<br />

Fundamental Argument Multipliers Mi,j 2 3 4 5 6 7 8 9 10 11 12 13 14<br />

∆ψ Coefficients<br />

S ˙S i<br />

i<br />

C<br />

∆ɛ Coefficients<br />

′ i<br />

C ˙C i<br />

i<br />

S ′ i<br />

′′ ′′ ′′ ′′ ′′ ′′<br />

930 0 0 3 -6 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000031 0.0000000 0. 0.0000000<br />

931 0 0 -3 6 0 0 0 0 1 0 0 0 0 0 -0.0000005 0. 0.0000000 0.0000003 0. 0.0000001<br />

932 0 0 -4 6 0 0 0 0 0 0 0 1 -1 1 0.0000004 0. 0.0000000 -0.0000002 0. 0.0000000<br />

933 0 0 -3 6 0 0 0 0 1 0 0 0 0 0 -0.0000004 0. 0.0000000 0.0000002 0. 0.0000000<br />

934 0 0 -3 6 0 0 0 0 2 0 0 0 0 0 -0.0000024 0. -0.0000013 0.0000010 0. -0.0000006<br />

935 0 2 -2 0 0 0 0 0 0 0 0 -1 1 0 0.0000003 0. 0.0000000 0.0000000 0. 0.0000000<br />

936 0 2 -3 0 0 0 0 0 0 0 0 0 0 1 0.0000000 0. -0.0000032 0.0000000 0. -0.0000017<br />

937 0 0 -5 9 0 0 0 0 2 0 0 0 0 0 0.0000008 0. 0.0000012 -0.0000003 0. 0.0000005<br />

938 0 0 -5 9 0 0 0 0 1 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000<br />

939 0 0 5 -9 0 0 0 0 0 0 0 0 0 0 0.0000007 0. 0.0000013 0.0000000 0. 0.0000000<br />

940 0 0 1 0 -2 0 0 0 0 0 0 -1 1 0 -0.0000003 0. 0.0000016 0.0000000 0. 0.0000000<br />

941 0 0 -2 0 2 0 0 0 0 0 0 2 -2 1 0.0000050 0. 0.0000000 -0.0000027 0. 0.0000000<br />

942 0 0 1 0 0 0 0 0 0 -2 0 1 1 1 0.0000000 0. -0.0000005 0.0000000 0. -0.0000003<br />

943 0 3 -3 0 0 0 0 0 0 0 0 -2 2 0 0.0000013 0. 0.0000000 0.0000000 0. 0.0000000<br />

944 0 -6 10 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000005 0.0000001 0. 0.0000003<br />

945 0 -6 10 0 0 0 0 0 2 0 0 0 0 0 0.0000024 0. 0.0000005 -0.0000011 0. 0.0000002<br />

946 0 -2 3 0 0 0 0 0 2 0 0 0 0 0 0.0000005 0. -0.0000011 -0.0000002 0. -0.0000005<br />

947 0 -2 3 0 0 0 0 0 1 0 0 0 0 0 0.0000030 0. -0.0000003 -0.0000016 0. -0.0000002<br />

948 0 -2 2 0 0 0 0 0 0 0 0 1 -1 1 0.0000018 0. 0.0000000 -0.0000009 0. 0.0000000<br />

949 0 2 -3 0 0 0 0 0 0 0 0 0 0 0 0.0000008 0. 0.0000614 0.0000000 0. 0.0000000<br />

950 0 2 -3 0 0 0 0 0 1 0 0 0 0 0 0.0000003 0. -0.0000003 -0.0000002 0. -0.0000001<br />

951 0 0 0 0 3 0 0 0 1 0 0 0 0 0 0.0000006 0. 0.0000017 -0.0000003 0. 0.0000009<br />

952 0 0 -1 0 3 0 0 0 0 0 0 1 -1 1 -0.0000003 0. -0.0000009 0.0000002 0. -0.0000005<br />

953 0 0 0 0 3 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000006 -0.0000001 0. 0.0000003<br />

954 0 0 0 0 3 0 0 0 2 0 0 0 0 0 -0.0000127 0. 0.0000021 0.0000055 0. 0.0000009<br />

955 0 0 4 -8 0 0 0 0 0 0 0 0 0 0 0.0000003 0. 0.0000005 0.0000000 0. 0.0000000<br />

956 0 0 -4 8 0 0 0 0 2 0 0 0 0 0 -0.0000006 0. -0.0000010 0.0000003 0. -0.0000004<br />

957 0 0 2 0 -2 0 0 0 0 0 0 -2 2 0 0.0000005 0. 0.0000000 0.0000000 0. 0.0000000<br />

958 0 0 -4 7 0 0 0 0 2 0 0 0 0 0 0.0000016 0. 0.0000009 -0.0000007 0. 0.0000004<br />

959 0 0 -4 7 0 0 0 0 1 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000002 0. 0.0000000<br />

960 0 0 4 -7 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000022 0.0000000 0. 0.0000000<br />

961 0 -2 3 0 0 0 0 0 0 0 0 0 0 1 0.0000000 0. 0.0000019 0.0000000 0. 0.0000010<br />

962 0 0 -2 0 3 0 0 0 0 0 0 2 -2 1 0.0000007 0. 0.0000000 -0.0000004 0. 0.0000000<br />

963 0 0 -5 10 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000005 0.0000000 0. -0.0000002<br />

964 0 -1 2 0 0 0 0 0 0 0 0 0 0 1 0.0000000 0. 0.0000003 0.0000000 0. 0.0000001<br />

965 0 0 0 0 4 0 0 0 2 0 0 0 0 0 -0.0000009 0. 0.0000003 0.0000004 0. 0.0000001<br />

966 0 0 -3 5 0 0 0 0 2 0 0 0 0 0 0.0000017 0. 0.0000000 -0.0000007 0. 0.0000000<br />

967 0 0 -3 5 0 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000003 -0.0000001 0. -0.0000002<br />

968 0 0 3 -5 0 0 0 0 0 0 0 0 0 0 -0.0000020 0. 0.0000034 0.0000000 0. 0.0000000<br />

969 0 1 -2 0 0 0 0 0 1 0 0 0 0 0 -0.0000010 0. 0.0000000 0.0000005 0. 0.0000001<br />

970 0 1 -3 0 0 0 0 0 0 0 0 1 -1 1 -0.0000004 0. 0.0000000 0.0000002 0. 0.0000000<br />

971 0 1 -2 0 0 0 0 0 0 0 0 0 0 0 0.0000022 0. -0.0000087 0.0000000 0. 0.0000000<br />

972 0 -1 2 0 0 0 0 0 1 0 0 0 0 0 -0.0000004 0. 0.0000000 0.0000002 0. 0.0000000<br />

973 0 -1 2 0 0 0 0 0 2 0 0 0 0 0 -0.0000003 0. -0.0000006 0.0000001 0. -0.0000002<br />

974 0 -7 11 0 0 0 0 0 2 0 0 0 0 0 -0.0000016 0. -0.0000003 0.0000007 0. -0.0000001<br />

975 0 -7 11 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. -0.0000002<br />

976 0 4 -4 0 0 0 0 0 0 0 0 -2 2 0 0.0000004 0. 0.0000000 0.0000000 0. 0.0000000<br />

977 0 0 2 -3 0 0 0 0 0 0 0 0 0 0 -0.0000068 0. 0.0000039 0.0000000 0. 0.0000000<br />

978 0 -4 4 0 0 0 0 0 0 0 0 2 -2 1 0.0000027 0. 0.0000000 -0.0000014 0. 0.0000000<br />

979 0 4 -5 0 0 0 0 0 0 0 0 -1 1 0 0.0000000 0. -0.0000004 0.0000000 0. 0.0000000<br />

980 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -0.0000025 0. 0.0000000 0.0000000 0. 0.0000000<br />

981 0 -4 7 0 0 0 0 0 1 0 0 0 0 0 -0.0000012 0. -0.0000003 0.0000006 0. -0.0000002<br />

982 0 -4 6 0 0 0 0 0 0 0 0 1 -1 1 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000<br />

983 0 -4 7 0 0 0 0 0 2 0 0 0 0 0 0.0000003 0. 0.0000066 -0.0000001 0. 0.0000029<br />

984 0 -4 6 0 0 0 0 0 2 0 0 0 0 0 0.0000490 0. 0.0000000 -0.0000213 0. 0.0000000<br />

985 0 -4 6 0 0 0 0 0 1 0 0 0 0 0 -0.0000022 0. 0.0000093 0.0000012 0. 0.0000049<br />

986 0 -4 5 0 0 0 0 0 0 0 0 1 -1 1 -0.0000007 0. 0.0000028 0.0000004 0. 0.0000015<br />

987 0 -4 6 0 0 0 0 0 1 0 0 0 0 0 -0.0000003 0. 0.0000013 0.0000002 0. 0.0000007<br />

988 0 4 -6 0 0 0 0 0 0 0 0 0 0 0 -0.0000046 0. 0.0000014 0.0000000 0. 0.0000000<br />

989 0 2 -2 0 0 0 0 0 0 -2 0 0 2 0 -0.0000005 0. 0.0000000 0.0000000 0. 0.0000000<br />

990 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0.0000002 0. 0.0000001 0.0000000 0. 0.0000000<br />

991 0 1 0 0 0 0 0 0 0 0 0 -1 1 0 0.0000000 0. -0.0000003 0.0000000 0. 0.0000000<br />

992 0 1 -1 0 0 0 0 0 0 0 0 0 0 1 -0.0000028 0. 0.0000000 0.0000015 0. 0.0000000<br />

993 0 0 -1 0 5 0 0 0 2 0 0 0 0 0 0.0000005 0. 0.0000000 -0.0000002 0. 0.0000000<br />

994 0 0 1 -3 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000000<br />

995 0 0 -1 3 0 0 0 0 2 0 0 0 0 0 -0.0000011 0. 0.0000000 0.0000005 0. 0.0000000<br />

996 0 0 -7 12 0 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000001<br />

997 0 -1 1 0 0 0 0 0 2 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000<br />

998 0 -1 1 0 0 0 0 0 1 0 0 0 0 0 0.0000025 0. 0.0000106 -0.0000013 0. 0.0000057<br />

999 0 -1 0 0 0 0 0 0 0 0 0 1 -1 1 0.0000005 0. 0.0000021 -0.0000003 0. 0.0000011<br />

1000 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0.0001485 0. 0.0000000 0.0000000 0. 0.0000000<br />

1001 0 1 -1 0 0 0 0 0 1 0 0 0 0 0 -0.0000007 0. -0.0000032 0.0000004 0. -0.0000017<br />

1002 0 1 -2 0 0 0 0 0 0 0 0 1 -1 1 0.0000000 0. 0.0000005 0.0000000 0. 0.0000003<br />

1003 0 0 -2 5 0 0 0 0 2 0 0 0 0 0 -0.0000006 0. -0.0000003 0.0000003 0. -0.0000002<br />

1004 0 0 -1 0 4 0 0 0 2 0 0 0 0 0 0.0000030 0. -0.0000006 -0.0000013 0. -0.0000002<br />

1005 0 0 1 0 -4 0 0 0 0 0 0 0 0 0 -0.0000004 0. 0.0000004 0.0000000 0. 0.0000000<br />

1006 0 -1 1 0 0 0 0 0 0 0 0 0 0 1 -0.0000019 0. 0.0000000 0.0000010 0. 0.0000000<br />

1007 0 0 -6 10 0 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000004 -0.0000001 0. 0.0000002<br />

1008 0 0 -6 10 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000000<br />

1009 0 0 -3 0 3 0 0 0 0 0 0 2 -2 1 0.0000004 0. 0.0000000 -0.0000002 0. 0.0000000<br />

1010 0 0 -3 7 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. -0.0000001<br />

1011 0 4 -4 0 0 0 0 0 0 -2 0 0 2 0 -0.0000003 0. 0.0000000 0.0000000 0. 0.0000000<br />

1012 0 0 -5 8 0 0 0 0 2 0 0 0 0 0 0.0000005 0. 0.0000003 -0.0000002 0. 0.0000001<br />

1013 0 0 5 -8 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000011 0.0000000 0. 0.0000000<br />

1014 0 0 -1 0 3 0 0 0 2 0 0 0 0 0 0.0000118 0. 0.0000000 -0.0000052 0. 0.0000000<br />

1015 0 0 -1 0 3 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000005 0.0000000 0. -0.0000003<br />

1016 0 0 1 0 -3 0 0 0 0 0 0 0 0 0 -0.0000028 0. 0.0000036 0.0000000 0. 0.0000000<br />

1017 0 2 -4 0 0 0 0 0 0 0 0 0 0 0 0.0000005 0. -0.0000005 0.0000000 0. 0.0000000<br />

1018 0 -2 4 0 0 0 0 0 1 0 0 0 0 0 0.0000014 0. -0.0000059 -0.0000008 0. -0.0000031<br />

1019 0 -2 3 0 0 0 0 0 0 0 0 1 -1 1 0.0000000 0. 0.0000009 0.0000001 0. 0.0000005

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