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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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102 NUTATION SERIES<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 />

1200 0 0 -3 0 5 0 0 0 2 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000<br />

1201 0 1 1 0 0 0 0 0 0 0 0 0 0 0 -0.0000004 0. 0.0000000 0.0000000 0. 0.0000000<br />

1202 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0.0000005 0. -0.0000023 -0.0000003 0. -0.0000012<br />

1203 0 1 1 0 0 0 0 0 2 0 0 0 0 0 -0.0000339 0. 0.0000000 0.0000147 0. 0.0000000<br />

1204 0 -9 12 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000010 0.0000000 0. -0.0000005<br />

1205 0 0 3 0 -4 0 0 0 0 0 0 0 0 0 0.0000005 0. 0.0000000 0.0000000 0. 0.0000000<br />

1206 0 1 -1 0 0 0 0 0 0 0 0 2 -2 1 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000<br />

1207 0 0 7 -8 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000004 0.0000000 0. -0.0000002<br />

1208 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0.0000018 0. -0.0000003 0.0000000 0. 0.0000000<br />

1209 0 0 3 0 -3 0 0 0 2 0 0 0 0 0 0.0000009 0. -0.0000011 -0.0000004 0. -0.0000005<br />

1210 0 -2 6 0 0 0 0 0 2 0 0 0 0 0 -0.0000008 0. 0.0000000 0.0000004 0. 0.0000000<br />

1211 0 -6 7 0 0 0 0 0 1 0 0 0 0 0 0.0000003 0. 0.0000000 -0.0000001 0. 0.0000000<br />

1212 0 6 -7 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000009 0.0000000 0. 0.0000000<br />

1213 0 0 6 -6 0 0 0 0 2 0 0 0 0 0 0.0000006 0. -0.0000009 -0.0000002 0. -0.0000004<br />

1214 0 0 3 0 -2 0 0 0 0 0 0 0 0 0 -0.0000004 0. -0.0000012 0.0000000 0. 0.0000000<br />

1215 0 0 3 0 -2 0 0 0 2 0 0 0 0 0 0.0000067 0. -0.0000091 -0.0000029 0. -0.0000039<br />

1216 0 0 5 -4 0 0 0 0 2 0 0 0 0 0 0.0000030 0. -0.0000018 -0.0000013 0. -0.0000008<br />

1217 0 3 -2 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000000 0.0000000 0. 0.0000000<br />

1218 0 3 -2 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000114 0.0000000 0. -0.0000050<br />

1219 0 0 3 0 -1 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000000 0.0000023 0. 0.0000000<br />

1220 0 0 3 0 -1 0 0 0 2 0 0 0 0 0 0.0000517 0. 0.0000016 -0.0000224 0. 0.0000007<br />

1221 0 0 3 0 0 -2 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000007 0.0000000 0. -0.0000003<br />

1222 0 0 4 -2 0 0 0 0 2 0 0 0 0 0 0.0000143 0. -0.0000003 -0.0000062 0. -0.0000001<br />

1223 0 0 3 0 0 -1 0 0 2 0 0 0 0 0 0.0000029 0. 0.0000000 -0.0000013 0. 0.0000000<br />

1224 0 0 1 0 -1 0 0 0 0 0 0 2 -2 1 -0.0000004 0. 0.0000000 0.0000002 0. 0.0000000<br />

1225 0 -8 16 0 0 0 0 0 2 0 0 0 0 0 -0.0000006 0. 0.0000000 0.0000003 0. 0.0000000<br />

1226 0 0 3 0 2 -5 0 0 2 0 0 0 0 0 0.0000005 0. 0.0000012 -0.0000002 0. 0.0000005<br />

1227 0 0 7 -8 3 0 0 0 2 0 0 0 0 0 -0.0000025 0. 0.0000000 0.0000011 0. 0.0000000<br />

1228 0 0 -5 16 -4 -5 0 0 2 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000<br />

1229 0 0 3 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000004 0.0000000 0. 0.0000002<br />

1230 0 0 -1 8 -3 0 0 0 2 0 0 0 0 0 -0.0000022 0. 0.0000012 0.0000010 0. 0.0000005<br />

1231 0 -8 10 0 0 0 0 0 2 0 0 0 0 0 0.0000050 0. 0.0000000 -0.0000022 0. 0.0000000<br />

1232 0 -8 10 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000007 0.0000000 0. 0.0000004<br />

1233 0 -8 10 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000001<br />

1234 0 0 2 2 0 0 0 0 2 0 0 0 0 0 -0.0000004 0. 0.0000004 0.0000002 0. 0.0000002<br />

1235 0 0 3 0 1 0 0 0 2 0 0 0 0 0 -0.0000005 0. -0.0000011 0.0000002 0. -0.0000005<br />

1236 0 -3 8 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000004 0.0000000 0. 0.0000002<br />

1237 0 -5 5 0 0 0 0 0 1 0 0 0 0 0 0.0000004 0. 0.0000017 -0.0000002 0. 0.0000009<br />

1238 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0.0000059 0. 0.0000000 0.0000000 0. 0.0000000<br />

1239 0 5 -5 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000004 0.0000000 0. -0.0000002<br />

1240 0 5 -5 0 0 0 0 0 2 0 0 0 0 0 -0.0000008 0. 0.0000000 0.0000004 0. 0.0000000<br />

1241 0 2 0 0 0 0 0 0 0 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000000 0. 0.0000000<br />

1242 0 2 0 0 0 0 0 0 1 0 0 0 0 0 0.0000004 0. -0.0000015 -0.0000002 0. -0.0000008<br />

1243 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0.0000370 0. -0.0000008 -0.0000160 0. 0.0000000<br />

1244 0 0 7 -7 0 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000000 0.0000000 0. -0.0000003<br />

1245 0 0 7 -7 0 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000001<br />

1246 0 0 6 -5 0 0 0 0 2 0 0 0 0 0 -0.0000006 0. 0.0000003 0.0000003 0. 0.0000001<br />

1247 0 7 -8 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000006 0.0000000 0. 0.0000000<br />

1248 0 0 5 -3 0 0 0 0 2 0 0 0 0 0 -0.0000010 0. 0.0000000 0.0000004 0. 0.0000000<br />

1249 0 4 -3 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000009 0.0000000 0. 0.0000004<br />

1250 0 1 2 0 0 0 0 0 2 0 0 0 0 0 0.0000004 0. 0.0000017 -0.0000002 0. 0.0000007<br />

1251 0 -9 11 0 0 0 0 0 2 0 0 0 0 0 0.0000034 0. 0.0000000 -0.0000015 0. 0.0000000<br />

1252 0 -9 11 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000005 0.0000000 0. 0.0000003<br />

1253 0 0 4 0 -4 0 0 0 2 0 0 0 0 0 -0.0000005 0. 0.0000000 0.0000002 0. 0.0000000<br />

1254 0 0 4 0 -3 0 0 0 2 0 0 0 0 0 -0.0000037 0. -0.0000007 0.0000016 0. -0.0000003<br />

1255 0 -6 6 0 0 0 0 0 1 0 0 0 0 0 0.0000003 0. 0.0000013 -0.0000002 0. 0.0000007<br />

1256 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0.0000040 0. 0.0000000 0.0000000 0. 0.0000000<br />

1257 0 6 -6 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000003 0.0000000 0. -0.0000002<br />

1258 0 0 4 0 -2 0 0 0 2 0 0 0 0 0 -0.0000184 0. -0.0000003 0.0000080 0. -0.0000001<br />

1259 0 0 6 -4 0 0 0 0 2 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000<br />

1260 0 3 -1 0 0 0 0 0 0 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000000 0. 0.0000000<br />

1261 0 3 -1 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000010 -0.0000001 0. -0.0000006<br />

1262 0 3 -1 0 0 0 0 0 2 0 0 0 0 0 0.0000031 0. -0.0000006 -0.0000013 0. 0.0000000<br />

1263 0 0 4 0 -1 0 0 0 2 0 0 0 0 0 -0.0000003 0. -0.0000032 0.0000001 0. -0.0000014<br />

1264 0 0 4 0 0 -2 0 0 2 0 0 0 0 0 -0.0000007 0. 0.0000000 0.0000003 0. 0.0000000<br />

1265 0 0 5 -2 0 0 0 0 2 0 0 0 0 0 0.0000000 0. -0.0000008 0.0000000 0. -0.0000004<br />

1266 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0.0000003 0. -0.0000004 0.0000000 0. 0.0000000<br />

1267 0 8 -9 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000004 0.0000000 0. 0.0000000<br />

1268 0 5 -4 0 0 0 0 0 2 0 0 0 0 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000001<br />

1269 0 2 1 0 0 0 0 0 2 0 0 0 0 0 0.0000019 0. -0.0000023 0.0000002 0. -0.0000010<br />

1270 0 2 1 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000000 -0.0000010 0. 0.0000000<br />

1271 0 2 1 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000002<br />

1272 0 -7 7 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000009 -0.0000001 0. 0.0000005<br />

1273 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0.0000028 0. 0.0000000 0.0000000 0. 0.0000000<br />

1274 0 4 -2 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000007 0.0000000 0. -0.0000004<br />

1275 0 4 -2 0 0 0 0 0 2 0 0 0 0 0 0.0000008 0. -0.0000004 -0.0000004 0. 0.0000000<br />

1276 0 4 -2 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000000 0.0000000 0. -0.0000002<br />

1277 0 4 -2 0 0 0 0 0 0 0 0 0 0 0 0.0000000 0. 0.0000003 0.0000000 0. 0.0000000<br />

1278 0 0 5 0 -4 0 0 0 2 0 0 0 0 0 -0.0000003 0. 0.0000000 0.0000001 0. 0.0000000<br />

1279 0 0 5 0 -3 0 0 0 2 0 0 0 0 0 -0.0000009 0. 0.0000000 0.0000004 0. 0.0000001<br />

1280 0 0 5 0 -2 0 0 0 2 0 0 0 0 0 0.0000003 0. 0.0000012 -0.0000001 0. 0.0000005<br />

1281 0 3 0 0 0 0 0 0 2 0 0 0 0 0 0.0000017 0. -0.0000003 0.0000000 0. -0.0000001<br />

1282 0 -8 8 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000007 0.0000000 0. 0.0000004<br />

1283 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0.0000019 0. 0.0000000 0.0000000 0. 0.0000000<br />

1284 0 5 -3 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. -0.0000005 0.0000000 0. -0.0000003<br />

1285 0 5 -3 0 0 0 0 0 2 0 0 0 0 0 0.0000014 0. -0.0000003 -0.0000001 0. 0.0000000<br />

1286 0 -9 9 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000000 0.0000000 0. -0.0000001<br />

1287 0 -9 9 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000000 -0.0000005 0. 0.0000000<br />

1288 0 -9 9 0 0 0 0 0 1 0 0 0 0 0 0.0000000 0. 0.0000005 0.0000000 0. 0.0000003<br />

1289 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0.0000013 0. 0.0000000 0.0000000 0. 0.0000000

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