USNO Circular 179 - U.S. Naval Observatory

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92 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 ′′ ′′ ′′ ′′ ′′ ′′ 301 0 0 0 0 0 0 0 0 0 3 1 2 -2 2 0.0000032 0.0000000 0.0000000 -0.0000013 0.0000000 0.0000000 302 0 0 0 0 0 0 0 0 0 0 -1 0 4 0 0.0000065 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 303 0 0 0 0 0 0 0 0 0 2 -1 0 2 0 0.0000047 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 304 0 0 0 0 0 0 0 0 0 0 0 4 0 1 0.0000032 0.0000000 0.0000000 -0.0000016 0.0000000 0.0000000 305 0 0 0 0 0 0 0 0 0 2 0 4 -2 2 0.0000037 0.0000000 0.0000000 -0.0000016 0.0000000 0.0000000 306 0 0 0 0 0 0 0 0 0 -1 -1 2 4 1 -0.0000030 0.0000000 0.0000000 0.0000015 0.0000000 0.0000000 307 0 0 0 0 0 0 0 0 0 1 0 0 4 1 -0.0000032 0.0000000 0.0000000 0.0000016 0.0000000 0.0000000 308 0 0 0 0 0 0 0 0 0 1 -2 2 2 2 -0.0000031 0.0000000 0.0000000 0.0000013 0.0000000 0.0000000 309 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0.0000037 0.0000000 0.0000000 -0.0000016 0.0000000 0.0000000 310 0 0 0 0 0 0 0 0 0 -1 1 2 4 2 0.0000031 0.0000000 0.0000000 -0.0000013 0.0000000 0.0000000 311 0 0 0 0 0 0 0 0 0 3 0 0 2 0 0.0000049 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 312 0 0 0 0 0 0 0 0 0 -1 0 4 2 2 0.0000032 0.0000000 0.0000000 -0.0000013 0.0000000 0.0000000 313 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0.0000023 0.0000000 0.0000000 -0.0000012 0.0000000 0.0000000 314 0 0 0 0 0 0 0 0 0 -2 0 2 6 2 -0.0000043 0.0000000 0.0000000 0.0000018 0.0000000 0.0000000 315 0 0 0 0 0 0 0 0 0 2 1 2 2 2 0.0000026 0.0000000 0.0000000 -0.0000011 0.0000000 0.0000000 316 0 0 0 0 0 0 0 0 0 -1 0 2 6 2 -0.0000032 0.0000000 0.0000000 0.0000014 0.0000000 0.0000000 317 0 0 0 0 0 0 0 0 0 1 0 2 4 1 -0.0000029 0.0000000 0.0000000 0.0000014 0.0000000 0.0000000 318 0 0 0 0 0 0 0 0 0 2 0 2 4 2 -0.0000027 0.0000000 0.0000000 0.0000012 0.0000000 0.0000000 319 0 0 0 0 0 0 0 0 0 1 1 -2 1 0 0.0000030 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 320 0 0 0 0 0 0 0 0 0 -3 1 2 1 2 -0.0000011 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 321 0 0 0 0 0 0 0 0 0 2 0 -2 0 2 -0.0000021 0.0000000 0.0000000 0.0000010 0.0000000 0.0000000 322 0 0 0 0 0 0 0 0 0 -1 0 0 1 2 -0.0000034 0.0000000 0.0000000 0.0000015 0.0000000 0.0000000 323 0 0 0 0 0 0 0 0 0 -4 0 2 2 1 -0.0000010 0.0000000 0.0000000 0.0000006 0.0000000 0.0000000 324 0 0 0 0 0 0 0 0 0 -1 -1 0 1 0 -0.0000036 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 325 0 0 0 0 0 0 0 0 0 0 0 -2 2 2 -0.0000009 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 326 0 0 0 0 0 0 0 0 0 1 0 0 -1 2 -0.0000012 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 327 0 0 0 0 0 0 0 0 0 0 -1 2 -2 3 -0.0000021 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 328 0 0 0 0 0 0 0 0 0 -2 1 2 0 0 -0.0000029 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 329 0 0 0 0 0 0 0 0 0 0 0 2 -2 4 -0.0000015 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 330 0 0 0 0 0 0 0 0 0 -2 -2 0 2 0 -0.0000020 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 331 0 0 0 0 0 0 0 0 0 -2 0 -2 4 0 0.0000028 0.0000000 0.0000000 0.0000000 0.0000000 -0.0000002 332 0 0 0 0 0 0 0 0 0 0 -2 -2 2 0 0.0000017 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 333 0 0 0 0 0 0 0 0 0 1 2 0 -2 1 -0.0000022 0.0000000 0.0000000 0.0000012 0.0000000 0.0000000 334 0 0 0 0 0 0 0 0 0 3 0 0 -4 1 -0.0000014 0.0000000 0.0000000 0.0000007 0.0000000 0.0000000 335 0 0 0 0 0 0 0 0 0 -1 1 2 -2 2 0.0000024 0.0000000 0.0000000 -0.0000011 0.0000000 0.0000000 336 0 0 0 0 0 0 0 0 0 1 -1 2 -4 1 0.0000011 0.0000000 0.0000000 -0.0000006 0.0000000 0.0000000 337 0 0 0 0 0 0 0 0 0 1 1 0 -2 2 0.0000014 0.0000000 0.0000000 -0.0000006 0.0000000 0.0000000 338 0 0 0 0 0 0 0 0 0 -3 0 2 0 0 0.0000024 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 339 0 0 0 0 0 0 0 0 0 -3 0 2 0 2 0.0000018 0.0000000 0.0000000 -0.0000008 0.0000000 0.0000000 340 0 0 0 0 0 0 0 0 0 -2 0 0 1 0 -0.0000038 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 341 0 0 0 0 0 0 0 0 0 0 0 -2 1 0 -0.0000031 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 342 0 0 0 0 0 0 0 0 0 -3 0 0 2 1 -0.0000016 0.0000000 0.0000000 0.0000008 0.0000000 0.0000000 343 0 0 0 0 0 0 0 0 0 -1 -1 -2 2 0 0.0000029 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 344 0 0 0 0 0 0 0 0 0 0 1 2 -4 1 -0.0000018 0.0000000 0.0000000 0.0000010 0.0000000 0.0000000 345 0 0 0 0 0 0 0 0 0 2 1 0 -4 1 -0.0000010 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 346 0 0 0 0 0 0 0 0 0 0 2 0 -2 1 -0.0000017 0.0000000 0.0000000 0.0000010 0.0000000 0.0000000 347 0 0 0 0 0 0 0 0 0 1 0 0 -3 1 0.0000009 0.0000000 0.0000000 -0.0000004 0.0000000 0.0000000 348 0 0 0 0 0 0 0 0 0 -2 0 2 -2 2 0.0000016 0.0000000 0.0000000 -0.0000006 0.0000000 0.0000000 349 0 0 0 0 0 0 0 0 0 -2 -1 0 0 1 0.0000022 0.0000000 0.0000000 -0.0000012 0.0000000 0.0000000 350 0 0 0 0 0 0 0 0 0 -4 0 0 2 0 0.0000020 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 351 0 0 0 0 0 0 0 0 0 1 1 0 -4 1 -0.0000013 0.0000000 0.0000000 0.0000006 0.0000000 0.0000000 352 0 0 0 0 0 0 0 0 0 -1 0 2 -4 1 -0.0000017 0.0000000 0.0000000 0.0000009 0.0000000 0.0000000 353 0 0 0 0 0 0 0 0 0 0 0 4 -4 1 -0.0000014 0.0000000 0.0000000 0.0000008 0.0000000 0.0000000 354 0 0 0 0 0 0 0 0 0 0 3 2 -2 2 0.0000000 0.0000000 0.0000000 -0.0000007 0.0000000 0.0000000 355 0 0 0 0 0 0 0 0 0 -3 -1 0 4 0 0.0000014 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 356 0 0 0 0 0 0 0 0 0 -3 0 0 4 1 0.0000019 0.0000000 0.0000000 -0.0000010 0.0000000 0.0000000 357 0 0 0 0 0 0 0 0 0 1 -1 -2 2 0 -0.0000034 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 358 0 0 0 0 0 0 0 0 0 -1 -1 0 2 2 -0.0000020 0.0000000 0.0000000 0.0000008 0.0000000 0.0000000 359 0 0 0 0 0 0 0 0 0 1 -2 0 0 1 0.0000009 0.0000000 0.0000000 -0.0000005 0.0000000 0.0000000 360 0 0 0 0 0 0 0 0 0 1 -1 0 0 2 -0.0000018 0.0000000 0.0000000 0.0000007 0.0000000 0.0000000 361 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0.0000013 0.0000000 0.0000000 -0.0000006 0.0000000 0.0000000 362 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0.0000017 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 363 0 0 0 0 0 0 0 0 0 1 -2 2 -2 2 -0.0000012 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 364 0 0 0 0 0 0 0 0 0 0 -1 2 -1 1 0.0000015 0.0000000 0.0000000 -0.0000008 0.0000000 0.0000000 365 0 0 0 0 0 0 0 0 0 -1 0 2 0 3 -0.0000011 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 366 0 0 0 0 0 0 0 0 0 1 1 0 0 2 0.0000013 0.0000000 0.0000000 -0.0000005 0.0000000 0.0000000 367 0 0 0 0 0 0 0 0 0 -1 1 2 0 0 -0.0000018 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 368 0 0 0 0 0 0 0 0 0 1 2 0 0 0 -0.0000035 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 369 0 0 0 0 0 0 0 0 0 -1 2 2 0 2 0.0000009 0.0000000 0.0000000 -0.0000004 0.0000000 0.0000000 370 0 0 0 0 0 0 0 0 0 -1 0 4 -2 1 -0.0000019 0.0000000 0.0000000 0.0000010 0.0000000 0.0000000 371 0 0 0 0 0 0 0 0 0 3 0 2 -4 2 -0.0000026 0.0000000 0.0000000 0.0000011 0.0000000 0.0000000 372 0 0 0 0 0 0 0 0 0 1 2 2 -2 1 0.0000008 0.0000000 0.0000000 -0.0000004 0.0000000 0.0000000 373 0 0 0 0 0 0 0 0 0 1 0 4 -4 2 -0.0000010 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 374 0 0 0 0 0 0 0 0 0 -2 -1 0 4 1 0.0000010 0.0000000 0.0000000 -0.0000006 0.0000000 0.0000000 375 0 0 0 0 0 0 0 0 0 0 -1 0 2 2 -0.0000021 0.0000000 0.0000000 0.0000009 0.0000000 0.0000000 376 0 0 0 0 0 0 0 0 0 -2 1 0 4 0 -0.0000015 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 377 0 0 0 0 0 0 0 0 0 -2 -1 2 2 1 0.0000009 0.0000000 0.0000000 -0.0000005 0.0000000 0.0000000 378 0 0 0 0 0 0 0 0 0 2 0 -2 2 0 -0.0000029 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 379 0 0 0 0 0 0 0 0 0 1 0 0 1 1 -0.0000019 0.0000000 0.0000000 0.0000010 0.0000000 0.0000000 380 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0.0000012 0.0000000 0.0000000 -0.0000005 0.0000000 0.0000000 381 0 0 0 0 0 0 0 0 0 1 -1 2 -1 2 0.0000022 0.0000000 0.0000000 -0.0000009 0.0000000 0.0000000 382 0 0 0 0 0 0 0 0 0 -2 0 4 0 1 -0.0000010 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 383 0 0 0 0 0 0 0 0 0 2 1 0 0 1 -0.0000020 0.0000000 0.0000000 0.0000011 0.0000000 0.0000000 384 0 0 0 0 0 0 0 0 0 0 1 2 0 0 -0.0000020 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 385 0 0 0 0 0 0 0 0 0 0 -1 4 -2 2 -0.0000017 0.0000000 0.0000000 0.0000007 0.0000000 0.0000000 386 0 0 0 0 0 0 0 0 0 0 0 4 -2 4 0.0000015 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 387 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0.0000008 0.0000000 0.0000000 -0.0000004 0.0000000 0.0000000 388 0 0 0 0 0 0 0 0 0 -3 0 0 6 0 0.0000014 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 389 0 0 0 0 0 0 0 0 0 -1 -1 0 4 1 -0.0000012 0.0000000 0.0000000 0.0000006 0.0000000 0.0000000 390 0 0 0 0 0 0 0 0 0 1 -2 0 2 0 0.0000025 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
NUTATION SERIES 93 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 ′′ ′′ ′′ ′′ ′′ ′′ 391 0 0 0 0 0 0 0 0 0 -1 0 0 4 2 -0.0000013 0.0000000 0.0000000 0.0000006 0.0000000 0.0000000 392 0 0 0 0 0 0 0 0 0 -1 -2 2 2 1 -0.0000014 0.0000000 0.0000000 0.0000008 0.0000000 0.0000000 393 0 0 0 0 0 0 0 0 0 -1 0 0 -2 2 0.0000013 0.0000000 0.0000000 -0.0000005 0.0000000 0.0000000 394 0 0 0 0 0 0 0 0 0 1 0 -2 -2 1 -0.0000017 0.0000000 0.0000000 0.0000009 0.0000000 0.0000000 395 0 0 0 0 0 0 0 0 0 0 0 -2 -2 1 -0.0000012 0.0000000 0.0000000 0.0000006 0.0000000 0.0000000 396 0 0 0 0 0 0 0 0 0 -2 0 -2 0 1 -0.0000010 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 397 0 0 0 0 0 0 0 0 0 0 0 0 3 1 0.0000010 0.0000000 0.0000000 -0.0000006 0.0000000 0.0000000 398 0 0 0 0 0 0 0 0 0 0 0 0 3 0 -0.0000015 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 399 0 0 0 0 0 0 0 0 0 -1 1 0 4 0 -0.0000022 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 400 0 0 0 0 0 0 0 0 0 -1 -1 2 2 0 0.0000028 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 401 0 0 0 0 0 0 0 0 0 -2 0 2 3 2 0.0000015 0.0000000 0.0000000 -0.0000007 0.0000000 0.0000000 402 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0.0000023 0.0000000 0.0000000 -0.0000010 0.0000000 0.0000000 403 0 0 0 0 0 0 0 0 0 0 -1 2 1 2 0.0000012 0.0000000 0.0000000 -0.0000005 0.0000000 0.0000000 404 0 0 0 0 0 0 0 0 0 3 -1 0 0 0 0.0000029 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 405 0 0 0 0 0 0 0 0 0 2 0 0 1 0 -0.0000025 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 406 0 0 0 0 0 0 0 0 0 1 -1 2 0 0 0.0000022 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 407 0 0 0 0 0 0 0 0 0 0 0 2 1 0 -0.0000018 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 408 0 0 0 0 0 0 0 0 0 1 0 2 0 3 0.0000015 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 409 0 0 0 0 0 0 0 0 0 3 1 0 0 0 -0.0000023 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 410 0 0 0 0 0 0 0 0 0 3 -1 2 -2 2 0.0000012 0.0000000 0.0000000 -0.0000005 0.0000000 0.0000000 411 0 0 0 0 0 0 0 0 0 2 0 2 -1 1 -0.0000008 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 412 0 0 0 0 0 0 0 0 0 1 1 2 0 0 -0.0000019 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 413 0 0 0 0 0 0 0 0 0 0 0 4 -1 2 -0.0000010 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 414 0 0 0 0 0 0 0 0 0 1 2 2 0 2 0.0000021 0.0000000 0.0000000 -0.0000009 0.0000000 0.0000000 415 0 0 0 0 0 0 0 0 0 -2 0 0 6 0 0.0000023 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 416 0 0 0 0 0 0 0 0 0 0 -1 0 4 1 -0.0000016 0.0000000 0.0000000 0.0000008 0.0000000 0.0000000 417 0 0 0 0 0 0 0 0 0 -2 -1 2 4 1 -0.0000019 0.0000000 0.0000000 0.0000009 0.0000000 0.0000000 418 0 0 0 0 0 0 0 0 0 0 -2 2 2 1 -0.0000022 0.0000000 0.0000000 0.0000010 0.0000000 0.0000000 419 0 0 0 0 0 0 0 0 0 0 -1 2 2 0 0.0000027 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 420 0 0 0 0 0 0 0 0 0 -1 0 2 3 1 0.0000016 0.0000000 0.0000000 -0.0000008 0.0000000 0.0000000 421 0 0 0 0 0 0 0 0 0 -2 1 2 4 2 0.0000019 0.0000000 0.0000000 -0.0000008 0.0000000 0.0000000 422 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0.0000009 0.0000000 0.0000000 -0.0000004 0.0000000 0.0000000 423 0 0 0 0 0 0 0 0 0 2 -2 2 0 2 -0.0000009 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 424 0 0 0 0 0 0 0 0 0 -1 1 2 3 2 -0.0000009 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 425 0 0 0 0 0 0 0 0 0 3 0 2 -1 2 -0.0000008 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 426 0 0 0 0 0 0 0 0 0 4 0 2 -2 1 0.0000018 0.0000000 0.0000000 -0.0000009 0.0000000 0.0000000 427 0 0 0 0 0 0 0 0 0 -1 0 0 6 0 0.0000016 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 428 0 0 0 0 0 0 0 0 0 -1 -2 2 4 2 -0.0000010 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 429 0 0 0 0 0 0 0 0 0 -3 0 2 6 2 -0.0000023 0.0000000 0.0000000 0.0000009 0.0000000 0.0000000 430 0 0 0 0 0 0 0 0 0 -1 0 2 4 0 0.0000016 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 431 0 0 0 0 0 0 0 0 0 3 0 0 2 1 -0.0000012 0.0000000 0.0000000 0.0000006 0.0000000 0.0000000 432 0 0 0 0 0 0 0 0 0 3 -1 2 0 1 -0.0000008 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 433 0 0 0 0 0 0 0 0 0 3 0 2 0 0 0.0000030 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 434 0 0 0 0 0 0 0 0 0 1 0 4 0 2 0.0000024 0.0000000 0.0000000 -0.0000010 0.0000000 0.0000000 435 0 0 0 0 0 0 0 0 0 5 0 2 -2 2 0.0000010 0.0000000 0.0000000 -0.0000004 0.0000000 0.0000000 436 0 0 0 0 0 0 0 0 0 0 -1 2 4 1 -0.0000016 0.0000000 0.0000000 0.0000007 0.0000000 0.0000000 437 0 0 0 0 0 0 0 0 0 2 -1 2 2 1 -0.0000016 0.0000000 0.0000000 0.0000007 0.0000000 0.0000000 438 0 0 0 0 0 0 0 0 0 0 1 2 4 2 0.0000017 0.0000000 0.0000000 -0.0000007 0.0000000 0.0000000 439 0 0 0 0 0 0 0 0 0 1 -1 2 4 2 -0.0000024 0.0000000 0.0000000 0.0000010 0.0000000 0.0000000 440 0 0 0 0 0 0 0 0 0 3 -1 2 2 2 -0.0000012 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 441 0 0 0 0 0 0 0 0 0 3 0 2 2 1 -0.0000024 0.0000000 0.0000000 0.0000011 0.0000000 0.0000000 442 0 0 0 0 0 0 0 0 0 5 0 2 0 2 -0.0000023 0.0000000 0.0000000 0.0000009 0.0000000 0.0000000 443 0 0 0 0 0 0 0 0 0 0 0 2 6 2 -0.0000013 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 444 0 0 0 0 0 0 0 0 0 4 0 2 2 2 -0.0000015 0.0000000 0.0000000 0.0000007 0.0000000 0.0000000 445 0 0 0 0 0 0 0 0 0 0 -1 1 -1 1 0.0000000 0.0000000 -0.0001988 0.0000000 0.0000000 -0.0001679 446 0 0 0 0 0 0 0 0 0 -1 0 1 0 3 0.0000000 0.0000000 -0.0000063 0.0000000 0.0000000 -0.0000027 447 0 0 0 0 0 0 0 0 0 0 -2 2 -2 3 -0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 448 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 0.0000004 449 0 0 0 0 0 0 0 0 0 2 -2 0 -2 1 0.0000005 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 450 0 0 0 0 0 0 0 0 0 -1 0 1 0 2 0.0000000 0.0000000 0.0000364 0.0000000 0.0000000 0.0000176 451 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 0.0000000 0.0000000 -0.0001044 0.0000000 0.0000000 -0.0000891 452 0 0 0 0 0 0 0 0 0 -1 -1 2 -1 2 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 453 0 0 0 0 0 0 0 0 0 -2 2 0 2 2 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 454 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0.0000000 0.0000000 0.0000330 0.0000000 0.0000000 0.0000000 455 0 0 0 0 0 0 0 0 0 -4 1 2 2 2 0.0000005 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 456 0 0 0 0 0 0 0 0 0 -3 0 2 1 1 0.0000003 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 457 0 0 0 0 0 0 0 0 0 -2 -1 2 0 2 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 458 0 0 0 0 0 0 0 0 0 1 0 -2 1 1 -0.0000005 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 459 0 0 0 0 0 0 0 0 0 2 -1 -2 0 1 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 460 0 0 0 0 0 0 0 0 0 -4 0 2 2 0 0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 461 0 0 0 0 0 0 0 0 0 -3 1 0 3 0 0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 462 0 0 0 0 0 0 0 0 0 -1 0 -1 2 0 0.0000000 0.0000000 0.0000005 0.0000000 0.0000000 0.0000000 463 0 0 0 0 0 0 0 0 0 0 -2 0 0 2 0.0000000 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 464 0 0 0 0 0 0 0 0 0 0 -2 0 0 2 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 465 0 0 0 0 0 0 0 0 0 -3 0 0 3 0 0.0000006 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 466 0 0 0 0 0 0 0 0 0 -2 -1 0 2 2 0.0000005 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 467 0 0 0 0 0 0 0 0 0 -1 0 -2 3 0 -0.0000007 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 468 0 0 0 0 0 0 0 0 0 -4 0 0 4 0 -0.0000012 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 469 0 0 0 0 0 0 0 0 0 2 1 -2 0 1 0.0000005 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 470 0 0 0 0 0 0 0 0 0 2 -1 0 -2 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 471 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -0.0000005 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 472 0 0 0 0 0 0 0 0 0 -1 2 0 1 0 0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 473 0 0 0 0 0 0 0 0 0 -2 1 2 0 2 -0.0000007 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 474 0 0 0 0 0 0 0 0 0 1 1 0 -1 1 0.0000007 0.0000000 0.0000000 -0.0000004 0.0000000 0.0000000 475 0 0 0 0 0 0 0 0 0 1 0 1 -2 1 0.0000000 0.0000000 -0.0000012 0.0000000 0.0000000 -0.0000010 476 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 477 0 0 0 0 0 0 0 0 0 1 -1 2 -3 1 0.0000003 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 478 0 0 0 0 0 0 0 0 0 -1 1 2 -1 1 -0.0000003 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 479 0 0 0 0 0 0 0 0 0 -2 0 4 -2 2 -0.0000007 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 480 0 0 0 0 0 0 0 0 0 -2 0 4 -2 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000
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
Page 36 and 37:
22 CELESTIAL REFERENCE SYSTEM the i
Page 38 and 39:
24 CELESTIAL REFERENCE SYSTEM 3.4 I
Page 40 and 41:
26 CELESTIAL REFERENCE SYSTEM withi
Page 42 and 43:
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
Page 50 and 51:
36 PRECESSION & NUTATION 5.2 Which
Page 52 and 53:
38 PRECESSION & NUTATION Figure 5.2
Page 54 and 55:
40 PRECESSION & NUTATION the pole o
Page 56 and 57: 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 114 and 115: 100 NUTATION SERIES Term i j= 1 Fun
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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