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USNO Circular 179 - U.S. Naval Observatory

USNO Circular 179 - U.S. Naval Observatory

USNO Circular 179 - U.S. Naval Observatory

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NUTATION SERIES 97<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 />

750 0 0 1 0 0 1 0 0 0 0 0 -1 1 0 -0.0000042 0. 0.0000020 0.0000000 0. 0.0000000<br />

751 0 5 -6 0 0 0 0 0 0 0 0 -2 2 0 -0.0000010 0. 0.0000233 0.0000000 0. 0.0000000<br />

752 0 5 -7 0 0 0 0 0 0 0 0 -1 1 1 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000<br />

753 0 6 -8 0 0 0 0 0 0 -2 0 0 2 0 0.0000078 0. -0.0000018 0.0000000 0. 0.0000000<br />

754 0 -6 7 0 0 0 0 0 0 2 0 1 -3 1 0.0000000 0. 0.0000003 0.0000000 0. 0.0000001<br />

755 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0.0000000 0. -0.0000003 0.0000000 0. -0.0000001<br />

756 0 0 1 0 1 0 0 0 0 0 0 -1 1 1 0.0000000 0. -0.0000004 0.0000001 0. -0.0000002<br />

757 0 0 -1 0 0 0 2 0 0 0 0 1 -1 1 0.0000000 0. -0.0000008 -0.0000001 0. -0.0000004<br />

758 0 0 0 0 0 0 2 0 1 0 0 0 0 0 0.0000000 0. -0.0000005 0.0000000 0. 0.0000003<br />

759 0 0 0 0 0 0 2 0 2 0 0 0 0 0 -0.0000007 0. 0.0000000 0.0000003 0. 0.0000000<br />

760 0 0 -8 15 0 0 0 0 2 0 0 0 0 0 -0.0000014 0. 0.0000008 0.0000006 0. 0.0000003<br />

761 0 0 -8 15 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000008 0.0000000 0. -0.0000004<br />

762 0 0 -9 15 0 0 0 0 0 0 0 1 -1 1 0.0000000 0. 0.0000019 0.0000000 0. 0.0000010<br />

763 0 0 8 -15 0 0 0 0 0 0 0 0 0 0 0.0000045 0. -0.0000022 0.0000000 0. 0.0000000<br />

764 0 0 8 -15 0 0 0 0 0 1 0 -1 -1 0 -0.0000003 0. 0.0000000 0.0000000 0. 0.0000000<br />

765 0 2 -5 0 0 0 0 0 0 2 0 0 -2 0 0.0000000 0. -0.0000003 0.0000000 0. 0.0000000<br />

766 0 0 2 0 -5 5 0 0 0 -2 0 0 2 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000000<br />

767 0 0 -6 8 0 0 0 0 0 2 0 0 -2 1 0.0000003 0. 0.0000005 -0.0000002 0. 0.0000003<br />

768 0 0 -2 0 3 0 0 0 0 2 0 0 -2 1 0.0000089 0. -0.0000016 -0.0000048 0. -0.0000009<br />

769 0 0 1 0 -3 0 0 0 0 -2 0 1 1 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000000<br />

770 0 0 1 0 -3 0 0 0 0 -2 0 1 1 1 -0.0000003 0. 0.0000007 0.0000002 0. 0.0000004<br />

771 0 0 2 0 -3 0 0 0 0 -2 0 0 2 0 -0.0000349 0. -0.0000062 0.0000000 0. 0.0000000<br />

772 0 0 6 -8 0 0 0 0 0 -2 0 0 2 0 -0.0000015 0. 0.0000022 0.0000000 0. 0.0000000<br />

773 0 0 2 0 -1 -5 0 0 0 -2 0 0 2 0 -0.0000003 0. 0.0000000 0.0000000 0. 0.0000000<br />

774 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 -0.0000053 0. 0.0000000 0.0000000 0. 0.0000000<br />

775 0 -20 20 0 0 0 0 0 0 -1 0 1 1 1 0.0000005 0. 0.0000000 -0.0000003 0. 0.0000000<br />

776 0 20 -21 0 0 0 0 0 0 1 0 0 -2 0 0.0000000 0. -0.0000008 0.0000000 0. 0.0000000<br />

777 0 0 8 -15 0 0 0 0 0 0 0 0 0 1 0.0000015 0. -0.0000007 -0.0000008 0. -0.0000004<br />

778 0 0 -10 15 0 0 0 0 0 0 0 2 -2 1 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000<br />

779 0 0 1 0 1 0 0 0 0 0 0 -1 1 0 -0.0000021 0. -0.0000078 0.0000000 0. 0.0000000<br />

780 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0.0000020 0. -0.0000070 -0.0000011 0. -0.0000037<br />

781 0 0 -1 0 1 0 0 0 0 0 0 1 -1 2 0.0000000 0. 0.0000006 0.0000000 0. 0.0000003<br />

782 0 0 -1 0 -2 4 0 0 0 0 0 1 -1 1 0.0000005 0. 0.0000003 -0.0000002 0. 0.0000002<br />

783 0 -6 8 0 0 0 0 0 0 2 0 0 -2 1 -0.0000017 0. -0.0000004 0.0000009 0. -0.0000002<br />

784 0 5 -6 0 0 0 0 0 0 0 0 -2 2 1 0.0000000 0. 0.0000006 0.0000000 0. 0.0000003<br />

785 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0.0000032 0. 0.0000015 0.0000017 0. -0.0000008<br />

786 0 0 -1 0 0 -1 0 0 0 0 0 1 -1 1 0.0000174 0. 0.0000084 -0.0000093 0. 0.0000045<br />

787 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0.0000011 0. 0.0000056 0.0000000 0. 0.0000000<br />

788 0 0 -1 0 0 1 0 0 0 0 0 1 -1 1 -0.0000066 0. -0.0000012 0.0000035 0. -0.0000006<br />

789 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0.0000047 0. 0.0000008 -0.0000025 0. 0.0000004<br />

790 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000008 0.0000000 0. 0.0000004<br />

791 0 0 -9 13 0 0 0 0 0 0 0 2 -2 1 0.0000010 0. -0.0000022 -0.0000005 0. -0.0000012<br />

792 0 0 7 -13 0 0 0 0 0 0 0 0 0 1 -0.0000003 0. 0.0000000 0.0000002 0. 0.0000000<br />

793 0 0 5 -6 0 0 0 0 0 -2 0 0 2 0 -0.0000024 0. 0.0000012 0.0000000 0. 0.0000000<br />

794 0 0 9 -17 0 0 0 0 0 0 0 0 0 0 0.0000005 0. -0.0000006 0.0000000 0. 0.0000000<br />

795 0 0 -9 17 0 0 0 0 2 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000002 0. 0.0000000<br />

796 0 0 -3 4 0 0 0 0 0 1 0 0 -1 1 0.0000004 0. 0.0000003 -0.0000002 0. 0.0000001<br />

797 0 -3 4 0 0 0 0 0 0 1 0 0 -1 1 0.0000000 0. 0.0000029 0.0000000 0. 0.0000015<br />

798 0 0 -1 2 0 0 0 0 0 0 0 0 0 2 -0.0000005 0. -0.0000004 0.0000002 0. -0.0000002<br />

799 0 0 0 2 0 0 0 0 0 0 0 -1 1 1 0.0000008 0. -0.0000003 -0.0000005 0. -0.0000001<br />

800 1 0 -2 0 0 0 0 0 0 0 0 -2 2 0 0.0000000 0. -0.0000003 0.0000000 0. 0.0000000<br />

801 0 3 -5 0 2 0 0 0 0 0 0 0 0 0 0.0000010 0. 0.0000000 0.0000000 0. 0.0000000<br />

802 0 0 2 0 -3 1 0 0 0 -2 0 0 2 1 0.0000003 0. 0.0000000 -0.0000002 0. 0.0000000<br />

803 0 3 -3 0 0 0 0 0 0 -2 0 0 2 1 -0.0000005 0. 0.0000000 0.0000003 0. 0.0000000<br />

804 0 8 -13 0 0 0 0 0 0 0 0 0 0 1 0.0000046 0. 0.0000066 -0.0000025 0. 0.0000035<br />

805 0 8 -12 0 0 0 0 0 0 0 0 -1 1 0 -0.0000014 0. 0.0000007 0.0000000 0. 0.0000000<br />

806 0 -8 11 0 0 0 0 0 0 0 0 2 -2 1 0.0000000 0. 0.0000003 0.0000000 0. 0.0000002<br />

807 0 0 2 -2 0 0 0 0 0 -1 0 0 1 0 -0.0000005 0. 0.0000000 0.0000000 0. 0.0000000<br />

808 0 18 -16 0 0 0 0 0 0 -1 0 0 0 1 -0.0000068 0. -0.0000034 0.0000036 0. -0.0000018<br />

809 0 0 -1 0 -1 1 0 0 0 0 0 1 -1 1 0.0000000 0. 0.0000014 0.0000000 0. 0.0000007<br />

810 0 3 -7 4 0 0 0 0 0 0 0 0 0 1 0.0000010 0. -0.0000006 -0.0000005 0. -0.0000003<br />

811 0 0 -3 7 0 0 0 0 0 -2 0 1 1 1 -0.0000005 0. -0.0000004 0.0000003 0. -0.0000002<br />

812 0 0 -1 0 -2 5 0 0 0 0 0 1 -1 2 -0.0000003 0. 0.0000005 0.0000001 0. 0.0000002<br />

813 0 0 0 0 -2 5 0 0 0 0 0 0 0 1 0.0000076 0. 0.0000017 -0.0000041 0. 0.0000009<br />

814 0 0 -4 8 -3 0 0 0 0 0 0 0 0 1 0.0000084 0. 0.0000298 -0.0000045 0. 0.0000159<br />

815 0 -10 3 0 0 0 0 0 0 1 0 0 0 1 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000<br />

816 0 0 -2 0 0 0 0 0 0 0 0 2 -2 1 -0.0000003 0. 0.0000000 0.0000002 0. 0.0000000<br />

817 0 10 -3 0 0 0 0 0 0 -1 0 0 0 1 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000<br />

818 0 0 4 -8 3 0 0 0 0 0 0 0 0 1 -0.0000082 0. 0.0000292 0.0000044 0. 0.0000156<br />

819 0 0 0 0 2 -5 0 0 0 0 0 0 0 1 -0.0000073 0. 0.0000017 0.0000039 0. 0.0000009<br />

820 0 0 1 0 2 -5 0 0 0 0 0 -1 1 0 -0.0000009 0. -0.0000016 0.0000000 0. 0.0000000<br />

821 0 0 3 -7 0 0 0 0 0 2 0 -1 -1 1 0.0000003 0. 0.0000000 -0.0000002 0. -0.0000001<br />

822 0 0 2 0 0 -5 0 0 0 -2 0 0 2 0 -0.0000003 0. 0.0000000 0.0000000 0. 0.0000000<br />

823 0 -3 7 -4 0 0 0 0 0 0 0 0 0 1 -0.0000009 0. -0.0000005 0.0000005 0. -0.0000003<br />

824 0 0 2 0 -2 0 0 0 0 -2 0 0 2 0 -0.0000439 0. 0.0000000 0.0000000 0. 0.0000000<br />

825 0 -18 16 0 0 0 0 0 0 1 0 0 0 1 0.0000057 0. -0.0000028 -0.0000030 0. -0.0000015<br />

826 0 0 1 0 -2 0 0 0 0 -2 0 1 1 1 0.0000000 0. -0.0000006 0.0000000 0. -0.0000003<br />

827 0 -8 12 0 0 0 0 0 0 0 0 1 -1 2 -0.0000004 0. 0.0000000 0.0000002 0. 0.0000000<br />

828 0 -8 13 0 0 0 0 0 0 0 0 0 0 1 -0.0000040 0. 0.0000057 0.0000021 0. 0.0000030<br />

829 0 0 1 -2 0 0 0 0 1 0 0 0 0 0 0.0000023 0. 0.0000007 -0.0000013 0. 0.0000003<br />

830 0 0 0 -2 0 0 0 0 0 0 0 1 -1 1 0.0000273 0. 0.0000080 -0.0000146 0. 0.0000043<br />

831 0 0 1 -2 0 0 0 0 0 0 0 0 0 0 -0.0000449 0. 0.0000430 0.0000000 0. 0.0000000<br />

832 0 0 -2 2 0 0 0 0 0 0 0 1 -1 1 -0.0000008 0. -0.0000047 0.0000004 0. -0.0000025<br />

833 0 0 -1 2 0 0 0 0 1 0 0 0 0 0 0.0000006 0. 0.0000047 -0.0000003 0. 0.0000025<br />

834 0 3 -4 0 0 0 0 0 0 -1 0 0 1 1 0.0000000 0. 0.0000023 0.0000000 0. 0.0000013<br />

835 0 0 3 -4 0 0 0 0 0 -1 0 0 1 1 -0.0000003 0. 0.0000000 0.0000002 0. 0.0000000<br />

836 0 0 -1 0 0 -2 0 0 0 0 0 1 -1 1 0.0000003 0. -0.0000004 -0.0000002 0. -0.0000002<br />

837 0 0 -1 0 0 2 0 0 0 0 0 1 -1 1 -0.0000048 0. -0.0000110 0.0000026 0. -0.0000059<br />

838 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0.0000051 0. 0.0000114 -0.0000027 0. 0.0000061<br />

839 0 0 0 0 0 2 0 0 2 0 0 0 0 0 -0.0000133 0. 0.0000000 0.0000057 0. 0.0000000

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