USNO Circular 179 - U.S. Naval Observatory

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100 NUTATION SERIES Term i j= 1 Fundamental Argument Multipliers Mi,j 2 3 4 5 6 7 8 9 10 11 12 13 14 ∆ψ Coefficients S ˙S i i C ∆ɛ Coefficients ′ i C ˙C i i S ′ i ′′ ′′ ′′ ′′ ′′ ′′ 1020 0 -2 4 0 0 0 0 0 2 0 0 0 0 0 -0.0000458 0. 0.0000000 0.0000198 0. 0.0000000 1021 0 -6 9 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000045 0.0000000 0. -0.0000020 1022 0 -6 9 0 0 0 0 0 1 0 0 0 0 0 0.0000009 0. 0.0000000 -0.0000005 0. 0.0000000 1023 0 6 -9 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. 0.0000000 1024 0 0 1 0 -2 0 0 0 0 0 0 0 0 1 0.0000000 0. -0.0000004 -0.0000001 0. -0.0000002 1025 0 -2 2 0 0 0 0 0 0 0 0 2 -2 1 0.0000011 0. 0.0000000 -0.0000006 0. 0.0000000 1026 0 0 -4 6 0 0 0 0 2 0 0 0 0 0 0.0000006 0. 0.0000000 -0.0000002 0. 0.0000000 1027 0 0 4 -6 0 0 0 0 0 0 0 0 0 0 -0.0000016 0. 0.0000023 0.0000000 0. 0.0000000 1028 0 3 -4 0 0 0 0 0 0 0 0 0 0 1 0.0000000 0. -0.0000004 0.0000000 0. -0.0000002 1029 0 0 -1 0 2 0 0 0 2 0 0 0 0 0 -0.0000005 0. 0.0000000 0.0000002 0. 0.0000000 1030 0 0 1 0 -2 0 0 0 0 0 0 0 0 0 -0.0000166 0. 0.0000269 0.0000000 0. 0.0000000 1031 0 0 1 0 -1 0 0 0 0 0 0 0 0 1 0.0000015 0. 0.0000000 -0.0000008 0. 0.0000000 1032 0 -5 9 0 0 0 0 0 2 0 0 0 0 0 0.0000010 0. 0.0000000 -0.0000004 0. 0.0000000 1033 0 0 3 -4 0 0 0 0 0 0 0 0 0 0 -0.0000078 0. 0.0000045 0.0000000 0. 0.0000000 1034 0 -3 4 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000005 0.0000000 0. -0.0000002 1035 0 -3 4 0 0 0 0 0 1 0 0 0 0 0 0.0000007 0. 0.0000000 -0.0000004 0. 0.0000000 1036 0 3 -4 0 0 0 0 0 0 0 0 0 0 0 -0.0000005 0. 0.0000328 0.0000000 0. 0.0000000 1037 0 3 -4 0 0 0 0 0 1 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000002 0. 0.0000000 1038 0 0 2 -2 0 0 0 0 0 0 0 0 0 1 0.0000005 0. 0.0000000 -0.0000002 0. 0.0000000 1039 0 0 -1 0 2 0 0 0 0 0 0 0 0 1 0.0000000 0. 0.0000003 0.0000000 0. 0.0000001 1040 0 0 1 0 0 -3 0 0 0 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000000 0. 0.0000000 1041 0 0 1 0 1 -5 0 0 0 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000000 0. 0.0000000 1042 0 0 -1 0 1 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000004 0.0000000 0. -0.0000002 1043 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 -0.0001223 0. -0.0000026 0.0000000 0. 0.0000000 1044 0 0 1 0 -1 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000007 0.0000000 0. 0.0000003 1045 0 0 1 0 -3 5 0 0 0 0 0 0 0 0 0.0000003 0. 0.0000000 0.0000000 0. 0.0000000 1046 0 -3 4 0 0 0 0 0 0 0 0 0 0 1 0.0000000 0. 0.0000003 0.0000000 0. 0.0000002 1047 0 0 1 0 0 -2 0 0 0 0 0 0 0 0 -0.0000006 0. 0.0000020 0.0000000 0. 0.0000000 1048 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 -0.0000368 0. 0.0000000 0.0000000 0. 0.0000000 1049 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 -0.0000075 0. 0.0000000 0.0000000 0. 0.0000000 1050 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0.0000011 0. 0.0000000 -0.0000006 0. 0.0000000 1051 0 0 -2 2 0 0 0 0 0 0 0 0 0 1 0.0000003 0. 0.0000000 -0.0000002 0. 0.0000000 1052 0 -8 14 0 0 0 0 0 2 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000 1053 0 0 1 0 2 -5 0 0 0 0 0 0 0 0 -0.0000013 0. -0.0000030 0.0000000 0. 0.0000000 1054 0 0 5 -8 3 0 0 0 0 0 0 0 0 0 0.0000021 0. 0.0000003 0.0000000 0. 0.0000000 1055 0 0 5 -8 3 0 0 0 2 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000 1056 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 -0.0000004 0. 0.0000000 0.0000002 0. 0.0000000 1057 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0.0000008 0. -0.0000027 0.0000000 0. 0.0000000 1058 0 0 3 -8 3 0 0 0 0 0 0 0 0 0 -0.0000019 0. -0.0000011 0.0000000 0. 0.0000000 1059 0 0 -3 8 -3 0 0 0 2 0 0 0 0 0 -0.0000004 0. 0.0000000 0.0000002 0. 0.0000000 1060 0 0 1 0 -2 5 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000005 0.0000000 0. 0.0000002 1061 0 -8 12 0 0 0 0 0 2 0 0 0 0 0 -0.0000006 0. 0.0000000 0.0000002 0. 0.0000000 1062 0 -8 12 0 0 0 0 0 0 0 0 0 0 0 -0.0000008 0. 0.0000000 0.0000000 0. 0.0000000 1063 0 0 1 0 1 -2 0 0 0 0 0 0 0 0 -0.0000001 0. 0.0000000 0.0000000 0. 0.0000000 1064 0 0 1 0 0 1 0 0 2 0 0 0 0 0 -0.0000014 0. 0.0000000 0.0000006 0. 0.0000000 1065 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0.0000006 0. 0.0000000 0.0000000 0. 0.0000000 1066 0 0 0 2 0 0 0 0 2 0 0 0 0 0 -0.0000074 0. 0.0000000 0.0000032 0. 0.0000000 1067 0 0 1 0 0 2 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. -0.0000001 1068 0 -5 5 0 0 0 0 0 0 0 0 2 -2 1 0.0000004 0. 0.0000000 -0.0000002 0. 0.0000000 1069 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0.0000008 0. 0.0000011 0.0000000 0. 0.0000000 1070 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000002 1071 0 0 1 0 1 0 0 0 2 0 0 0 0 0 -0.0000262 0. 0.0000000 0.0000114 0. 0.0000000 1072 0 3 -6 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. -0.0000004 0.0000000 0. 0.0000000 1073 0 -3 6 0 0 0 0 0 1 0 0 0 0 0 -0.0000007 0. 0.0000000 0.0000004 0. 0.0000000 1074 0 -3 6 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000027 0.0000000 0. -0.0000012 1075 0 0 -1 4 0 0 0 0 2 0 0 0 0 0 -0.0000019 0. -0.0000008 0.0000008 0. -0.0000004 1076 0 -5 7 0 0 0 0 0 2 0 0 0 0 0 0.0000202 0. 0.0000000 -0.0000087 0. 0.0000000 1077 0 -5 7 0 0 0 0 0 1 0 0 0 0 0 -0.0000008 0. 0.0000035 0.0000005 0. 0.0000019 1078 0 -5 6 0 0 0 0 0 0 0 0 1 -1 1 0.0000000 0. 0.0000004 0.0000000 0. 0.0000002 1079 0 5 -7 0 0 0 0 0 0 0 0 0 0 0 0.0000016 0. -0.0000005 0.0000000 0. 0.0000000 1080 0 0 -1 0 1 0 0 0 0 0 0 2 -2 1 0.0000005 0. 0.0000000 -0.0000003 0. 0.0000000 1081 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. 0.0000000 1082 -1 0 3 0 0 0 0 0 2 0 0 0 0 0 0.0000001 0. 0.0000000 0.0000000 0. 0.0000000 1083 0 0 1 0 2 0 0 0 2 0 0 0 0 0 -0.0000035 0. -0.0000048 0.0000015 0. -0.0000021 1084 0 0 -2 6 0 0 0 0 2 0 0 0 0 0 -0.0000003 0. -0.0000005 0.0000001 0. -0.0000002 1085 0 2 -2 0 0 0 0 0 0 0 0 0 0 1 0.0000006 0. 0.0000000 -0.0000003 0. 0.0000000 1086 0 0 -6 9 0 0 0 0 2 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000 1087 0 0 6 -9 0 0 0 0 0 0 0 0 0 0 0.0000000 0. -0.0000005 0.0000000 0. 0.0000000 1088 0 -2 2 0 0 0 0 0 1 0 0 0 0 0 0.0000012 0. 0.0000055 -0.0000006 0. 0.0000029 1089 0 -2 1 0 0 0 0 0 0 0 0 1 -1 1 0.0000000 0. 0.0000005 0.0000000 0. 0.0000003 1090 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 -0.0000598 0. 0.0000000 0.0000000 0. 0.0000000 1091 0 2 -2 0 0 0 0 0 1 0 0 0 0 0 -0.0000003 0. -0.0000013 0.0000001 0. -0.0000007 1092 0 0 1 0 3 0 0 0 2 0 0 0 0 0 -0.0000005 0. -0.0000007 0.0000002 0. -0.0000003 1093 0 0 -5 7 0 0 0 0 2 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000 1094 0 0 5 -7 0 0 0 0 0 0 0 0 0 0 0.0000005 0. -0.0000007 0.0000000 0. 0.0000000 1095 0 -2 2 0 0 0 0 0 0 0 0 0 0 1 0.0000004 0. 0.0000000 -0.0000002 0. 0.0000000 1096 0 0 4 -5 0 0 0 0 0 0 0 0 0 0 0.0000016 0. -0.0000006 0.0000000 0. 0.0000000 1097 0 1 -3 0 0 0 0 0 0 0 0 0 0 0 0.0000008 0. -0.0000003 0.0000000 0. 0.0000000 1098 0 -1 3 0 0 0 0 0 1 0 0 0 0 0 0.0000008 0. -0.0000031 -0.0000004 0. -0.0000016 1099 0 -1 2 0 0 0 0 0 0 0 0 1 -1 1 0.0000000 0. 0.0000003 0.0000000 0. 0.0000001 1100 0 -1 3 0 0 0 0 0 2 0 0 0 0 0 0.0000113 0. 0.0000000 -0.0000049 0. 0.0000000 1101 0 -7 10 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000024 0.0000000 0. -0.0000010 1102 0 -7 10 0 0 0 0 0 1 0 0 0 0 0 0.0000004 0. 0.0000000 -0.0000002 0. 0.0000000 1103 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0.0000027 0. 0.0000000 0.0000000 0. 0.0000000 1104 0 -4 8 0 0 0 0 0 2 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000 1105 0 -4 5 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000004 0.0000000 0. -0.0000002 1106 0 -4 5 0 0 0 0 0 1 0 0 0 0 0 0.0000005 0. 0.0000000 -0.0000002 0. 0.0000000 1107 0 4 -5 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. 0.0000000 1108 0 0 1 1 0 0 0 0 2 0 0 0 0 0 -0.0000013 0. 0.0000000 0.0000006 0. 0.0000000 1109 0 0 -2 0 5 0 0 0 2 0 0 0 0 0 0.0000005 0. 0.0000000 -0.0000002 0. 0.0000000
NUTATION SERIES 101 Term i j= 1 Fundamental Argument Multipliers Mi,j 2 3 4 5 6 7 8 9 10 11 12 13 14 ∆ψ Coefficients S ˙S i i C ∆ɛ Coefficients ′ i C ˙C i i S ′ i ′′ ′′ ′′ ′′ ′′ ′′ 1110 0 0 0 3 0 0 0 0 2 0 0 0 0 0 -0.0000018 0. -0.0000010 0.0000008 0. -0.0000004 1111 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -0.0000004 0. -0.0000028 0.0000000 0. 0.0000000 1112 0 1 0 0 0 0 0 0 2 0 0 0 0 0 -0.0000005 0. 0.0000006 0.0000002 0. 0.0000003 1113 0 -9 13 0 0 0 0 0 2 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000 1114 0 0 -1 5 0 0 0 0 2 0 0 0 0 0 -0.0000005 0. -0.0000009 0.0000002 0. -0.0000004 1115 0 0 -2 0 4 0 0 0 2 0 0 0 0 0 0.0000017 0. 0.0000000 -0.0000007 0. 0.0000000 1116 0 0 2 0 -4 0 0 0 0 0 0 0 0 0 0.0000011 0. 0.0000004 0.0000000 0. 0.0000000 1117 0 0 -2 7 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000006 0.0000000 0. -0.0000002 1118 0 0 2 0 -3 0 0 0 0 0 0 0 0 0 0.0000083 0. 0.0000015 0.0000000 0. 0.0000000 1119 0 -2 5 0 0 0 0 0 1 0 0 0 0 0 -0.0000004 0. 0.0000000 0.0000002 0. 0.0000000 1120 0 -2 5 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000114 0.0000000 0. -0.0000049 1121 0 -6 8 0 0 0 0 0 2 0 0 0 0 0 0.0000117 0. 0.0000000 -0.0000051 0. 0.0000000 1122 0 -6 8 0 0 0 0 0 1 0 0 0 0 0 -0.0000005 0. 0.0000019 0.0000002 0. 0.0000010 1123 0 6 -8 0 0 0 0 0 0 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000000 0. 0.0000000 1124 0 0 2 0 -2 0 0 0 0 0 0 0 0 1 -0.0000003 0. 0.0000000 0.0000002 0. 0.0000000 1125 0 0 -3 9 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. -0.0000001 1126 0 0 5 -6 0 0 0 0 0 0 0 0 0 0 0.0000003 0. 0.0000000 0.0000000 0. 0.0000000 1127 0 0 5 -6 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000006 0.0000000 0. -0.0000002 1128 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0.0000393 0. 0.0000003 0.0000000 0. 0.0000000 1129 0 0 2 0 -2 0 0 0 1 0 0 0 0 0 -0.0000004 0. 0.0000021 0.0000002 0. 0.0000011 1130 0 0 2 0 -2 0 0 0 2 0 0 0 0 0 -0.0000006 0. 0.0000000 0.0000003 0. -0.0000001 1131 0 -5 10 0 0 0 0 0 2 0 0 0 0 0 -0.0000003 0. 0.0000008 0.0000001 0. 0.0000004 1132 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0.0000008 0. 0.0000000 0.0000000 0. 0.0000000 1133 0 0 4 -4 0 0 0 0 2 0 0 0 0 0 0.0000018 0. -0.0000029 -0.0000008 0. -0.0000013 1134 0 -3 3 0 0 0 0 0 1 0 0 0 0 0 0.0000008 0. 0.0000034 -0.0000004 0. 0.0000018 1135 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0.0000089 0. 0.0000000 0.0000000 0. 0.0000000 1136 0 3 -3 0 0 0 0 0 1 0 0 0 0 0 0.0000003 0. 0.0000012 -0.0000001 0. 0.0000006 1137 0 3 -3 0 0 0 0 0 2 0 0 0 0 0 0.0000054 0. -0.0000015 -0.0000024 0. -0.0000007 1138 0 0 2 0 0 -3 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000000 1139 0 0 -5 13 0 0 0 0 2 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000 1140 0 0 2 0 -1 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000035 0.0000000 0. 0.0000000 1141 0 0 2 0 -1 0 0 0 2 0 0 0 0 0 -0.0000154 0. -0.0000030 0.0000067 0. -0.0000013 1142 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0.0000015 0. 0.0000000 0.0000000 0. 0.0000000 1143 0 0 2 0 0 -2 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000004 0.0000000 0. 0.0000002 1144 0 0 3 -2 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000009 0.0000000 0. 0.0000000 1145 0 0 3 -2 0 0 0 0 2 0 0 0 0 0 0.0000080 0. -0.0000071 -0.0000035 0. -0.0000031 1146 0 0 2 0 0 -1 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000020 0.0000000 0. -0.0000009 1147 0 0 -6 15 0 0 0 0 2 0 0 0 0 0 0.0000011 0. 0.0000005 -0.0000005 0. 0.0000002 1148 0 -8 15 0 0 0 0 0 2 0 0 0 0 0 0.0000061 0. -0.0000096 -0.0000027 0. -0.0000042 1149 0 -3 9 -4 0 0 0 0 2 0 0 0 0 0 0.0000014 0. 0.0000009 -0.0000006 0. 0.0000004 1150 0 0 2 0 2 -5 0 0 2 0 0 0 0 0 -0.0000011 0. -0.0000006 0.0000005 0. -0.0000003 1151 0 0 -2 8 -1 -5 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. -0.0000001 1152 0 0 6 -8 3 0 0 0 2 0 0 0 0 0 0.0000123 0. -0.0000415 -0.0000053 0. -0.0000180 1153 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000000 -0.0000035 0. 0.0000000 1154 0 0 2 0 0 0 0 0 0 0 0 0 0 0 -0.0000005 0. 0.0000000 0.0000000 0. 0.0000000 1155 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0.0000007 0. -0.0000032 -0.0000004 0. -0.0000017 1156 0 0 1 0 0 0 0 0 0 0 0 1 -1 1 0.0000000 0. -0.0000009 0.0000000 0. -0.0000005 1157 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000004 0.0000000 0. 0.0000002 1158 0 0 2 0 0 0 0 0 2 0 0 0 0 0 -0.0000089 0. 0.0000000 0.0000038 0. 0.0000000 1159 0 0 -6 16 -4 -5 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000086 -0.0000006 0. -0.0000019 1160 0 0 -2 8 -3 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000000 0.0000006 0. -0.0000019 1161 0 0 -2 8 -3 0 0 0 2 0 0 0 0 0 -0.0000123 0. -0.0000416 0.0000053 0. -0.0000180 1162 0 0 6 -8 1 5 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. -0.0000001 1163 0 0 2 0 -2 5 0 0 2 0 0 0 0 0 0.0000012 0. -0.0000006 -0.0000005 0. -0.0000003 1164 0 3 -5 4 0 0 0 0 2 0 0 0 0 0 -0.0000013 0. 0.0000009 0.0000006 0. 0.0000004 1165 0 -8 11 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000015 0.0000000 0. -0.0000007 1166 0 -8 11 0 0 0 0 0 1 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000 1167 0 -8 11 0 0 0 0 0 2 0 0 0 0 0 -0.0000062 0. -0.0000097 0.0000027 0. -0.0000042 1168 0 0 11 0 0 0 0 0 2 0 0 0 0 0 -0.0000011 0. 0.0000005 0.0000005 0. 0.0000002 1169 0 0 2 0 0 1 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000019 0.0000000 0. -0.0000008 1170 0 3 -3 0 2 0 0 0 2 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000 1171 0 0 4 -8 3 0 0 0 0 0 0 2 -2 1 0.0000000 0. 0.0000004 0.0000000 0. 0.0000002 1172 0 0 1 0 0 0 0 0 0 0 0 1 -1 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000000 1173 0 0 -4 8 -3 0 0 0 0 0 0 2 -2 1 0.0000000 0. 0.0000004 0.0000000 0. 0.0000002 1174 0 0 1 2 0 0 0 0 2 0 0 0 0 0 -0.0000085 0. -0.0000070 0.0000037 0. -0.0000031 1175 0 0 2 0 1 0 0 0 2 0 0 0 0 0 0.0000163 0. -0.0000012 -0.0000072 0. -0.0000005 1176 0 -3 7 0 0 0 0 0 2 0 0 0 0 0 -0.0000063 0. -0.0000016 0.0000028 0. -0.0000007 1177 0 0 0 4 0 0 0 0 2 0 0 0 0 0 -0.0000021 0. -0.0000032 0.0000009 0. -0.0000014 1178 0 -5 6 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. -0.0000001 1<strong>179</strong> 0 -5 6 0 0 0 0 0 1 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000002 0. 0.0000000 1180 0 5 -6 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000008 0.0000000 0. 0.0000000 1181 0 5 -6 0 0 0 0 0 2 0 0 0 0 0 0.0000003 0. 0.0000010 -0.0000001 0. 0.0000004 1182 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000 1183 0 0 -1 6 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000007 0.0000000 0. -0.0000003 1184 0 0 7 -9 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000004 0.0000000 0. -0.0000002 1185 0 2 -1 0 0 0 0 0 0 0 0 0 0 0 0.0000006 0. 0.0000019 0.0000000 0. 0.0000000 1186 0 2 -1 0 0 0 0 0 2 0 0 0 0 0 0.0000005 0. -0.0000173 -0.0000002 0. -0.0000075 1187 0 0 6 -7 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000007 0.0000000 0. -0.0000003 1188 0 0 5 -5 0 0 0 0 2 0 0 0 0 0 0.0000007 0. -0.0000012 -0.0000003 0. -0.0000005 1189 0 -1 4 0 0 0 0 0 1 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000002 0. 0.0000000 1190 0 -1 4 0 0 0 0 0 2 0 0 0 0 0 0.0000003 0. -0.0000004 -0.0000001 0. -0.0000002 1191 0 -7 9 0 0 0 0 0 2 0 0 0 0 0 0.0000074 0. 0.0000000 -0.0000032 0. 0.0000000 1192 0 -7 9 0 0 0 0 0 1 0 0 0 0 0 -0.0000003 0. 0.0000012 0.0000002 0. 0.0000006 1193 0 0 4 -3 0 0 0 0 2 0 0 0 0 0 0.0000026 0. -0.0000014 -0.0000011 0. -0.0000006 1194 0 0 3 -1 0 0 0 0 2 0 0 0 0 0 0.0000019 0. 0.0000000 -0.0000008 0. 0.0000000 1195 0 -4 4 0 0 0 0 0 1 0 0 0 0 0 0.0000006 0. 0.0000024 -0.0000003 0. 0.0000013 1196 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0.0000083 0. 0.0000000 0.0000000 0. 0.0000000 1197 0 4 -4 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000010 0.0000000 0. -0.0000005 1198 0 4 -4 0 0 0 0 0 2 0 0 0 0 0 0.0000011 0. -0.0000003 -0.0000005 0. -0.0000001 1199 0 0 2 1 0 0 0 0 2 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000001
Page 1:
UNITED STATES NAVAL OBSERVATORY CIR
Page 4 and 5:
ii 3.4.4 Relationship to Other Syst
Page 6 and 7:
iv INTRODUCTION recommendations. Ma
Page 8 and 9:
vi INTRODUCTION that are available
Page 10 and 11:
A Few Words about Constants This ci
Page 12 and 13:
Abbreviations and Symbols Frequentl
Page 14 and 15:
xii ABBREVIATIONS & SYMBOLS s CIO l
Page 16 and 17:
2 RELATIVITY In 1991, the IAU made
Page 18 and 19:
4 RELATIVITY Geocentric Celestial R
Page 20 and 21:
6 RELATIVITY 1.4 Concluding Remarks
Page 22 and 23:
8 TIME SCALES star across a certain
Page 24 and 25:
10 TIME SCALES were computed in a b
Page 26 and 27:
12 TIME SCALES Clearly UT1-UTC and
Page 28 and 29:
14 TIME SCALES From the perspective
Page 30 and 31:
16 TIME SCALES method and the time
Page 32 and 33:
18 TIME SCALES through the local ge
Page 34 and 35:
20 CELESTIAL REFERENCE SYSTEM 3.1 T
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22 CELESTIAL REFERENCE SYSTEM the i
Page 38 and 39:
24 CELESTIAL REFERENCE SYSTEM 3.4 I
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26 CELESTIAL REFERENCE SYSTEM withi
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28 CELESTIAL REFERENCE SYSTEM the p
Page 44 and 45:
30 EPHEMERIDES DE200 nor DE405 have
Page 46 and 47:
32 EPHEMERIDES scaling. LB = 1.550
Page 48 and 49:
34 PRECESSION & NUTATION 5.1 Aspect
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36 PRECESSION & NUTATION 5.2 Which
Page 52 and 53:
38 PRECESSION & NUTATION Figure 5.2
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40 PRECESSION & NUTATION the pole o
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42 PRECESSION & NUTATION and the re
Page 58 and 59:
44 PRECESSION & NUTATION 2. A rotat
Page 60 and 61:
46 PRECESSION & NUTATION ∆ɛ = N
Page 62 and 63:
48 PRECESSION & NUTATION S1 = sin (
Page 64 and 65: Chapter 6 Modeling the Earth’s Ro
Page 66 and 67: 52 MODELING THE EARTH’S ROTATION
Page 82 and 83: 68 IAU RESOLUTIONS 1997 reference f
Page 84 and 85: Text of IAU Resolutions of 2000 Ado
Page 86 and 87: 72 IAU RESOLUTIONS 2000 Resolution
Page 88 and 89: 74 IAU RESOLUTIONS 2000 integrals t
Page 90 and 91: 76 IAU RESOLUTIONS 2000 g0i = − 4
Page 92 and 93: 78 IAU RESOLUTIONS 2000 3. that sem
Page 94 and 95: 80 IAU RESOLUTIONS 2000 Recommends
Page 96 and 97: References Journal abbreviations: A
Page 98 and 99: 84 REFERENCES Høg, E., Fabricius,
Page 100 and 101: 86 REFERENCES Nelson, R. A., McCart
Page 102 and 103: IAU 2000A Nutation Series The nutat
Page 104 and 105: 90 NUTATION SERIES Term i j= 1 Fund
Page 116 and 117: 102 NUTATION SERIES Term i j= 1 Fun
Page 118: Errata & Updates Errata in this cir
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USNO Circular 179 - U.S. Naval Observatory

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