USNO Circular 179 - U.S. Naval Observatory

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94 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 ′′ ′′ ′′ ′′ ′′ ′′ 481 0 0 0 0 0 0 0 0 0 -2 -2 0 2 1 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 482 0 0 0 0 0 0 0 0 0 -2 0 -2 4 0 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 483 0 0 0 0 0 0 0 0 0 1 2 2 -4 1 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 484 0 0 0 0 0 0 0 0 0 1 1 2 -4 2 0.0000007 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 485 0 0 0 0 0 0 0 0 0 -1 2 2 -2 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 486 0 0 0 0 0 0 0 0 0 2 0 0 -3 1 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 487 0 0 0 0 0 0 0 0 0 -1 2 0 0 1 -0.0000005 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 488 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 0.0000005 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 489 0 0 0 0 0 0 0 0 0 -1 -1 2 -2 2 -0.0000005 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 490 0 0 0 0 0 0 0 0 0 -1 1 0 0 2 0.0000005 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 491 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -0.0000008 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 492 0 0 0 0 0 0 0 0 0 -2 1 0 1 0 0.0000009 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 493 0 0 0 0 0 0 0 0 0 1 -2 0 -2 1 0.0000006 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 494 0 0 0 0 0 0 0 0 0 1 0 -2 0 2 -0.0000005 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 495 0 0 0 0 0 0 0 0 0 -3 1 0 2 0 0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 496 0 0 0 0 0 0 0 0 0 -1 1 -2 2 0 -0.0000007 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 497 0 0 0 0 0 0 0 0 0 -1 -1 0 0 2 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 498 0 0 0 0 0 0 0 0 0 -3 0 0 2 0 0.0000005 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 499 0 0 0 0 0 0 0 0 0 -3 -1 0 2 0 0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 500 0 0 0 0 0 0 0 0 0 2 0 2 -6 1 -0.0000003 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 501 0 0 0 0 0 0 0 0 0 0 1 2 -4 2 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 502 0 0 0 0 0 0 0 0 0 2 0 0 -4 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 503 0 0 0 0 0 0 0 0 0 -2 1 2 -2 1 -0.0000005 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 504 0 0 0 0 0 0 0 0 0 0 -1 2 -4 1 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 505 0 0 0 0 0 0 0 0 0 0 1 0 -2 2 0.0000009 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 506 0 0 0 0 0 0 0 0 0 -1 0 0 -2 0 0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 507 0 0 0 0 0 0 0 0 0 2 0 -2 -2 1 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 508 0 0 0 0 0 0 0 0 0 -4 0 2 0 1 -0.0000003 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 509 0 0 0 0 0 0 0 0 0 -1 -1 0 -1 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 510 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0.0000009 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 511 0 0 0 0 0 0 0 0 0 -3 0 0 1 0 -0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 512 0 0 0 0 0 0 0 0 0 -1 0 -2 1 0 -0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 513 0 0 0 0 0 0 0 0 0 -2 0 -2 2 1 0.0000003 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 514 0 0 0 0 0 0 0 0 0 0 0 -4 2 0 0.0000008 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 515 0 0 0 0 0 0 0 0 0 -2 -1 -2 2 0 0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 516 0 0 0 0 0 0 0 0 0 1 0 2 -6 1 -0.0000003 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 517 0 0 0 0 0 0 0 0 0 -1 0 2 -4 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 518 0 0 0 0 0 0 0 0 0 1 0 0 -4 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 519 0 0 0 0 0 0 0 0 0 2 1 2 -4 2 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 520 0 0 0 0 0 0 0 0 0 2 1 2 -4 1 0.0000006 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 521 0 0 0 0 0 0 0 0 0 0 1 4 -4 4 0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 522 0 0 0 0 0 0 0 0 0 0 1 4 -4 2 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 523 0 0 0 0 0 0 0 0 0 -1 -1 -2 4 0 -0.0000007 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 524 0 0 0 0 0 0 0 0 0 -1 -3 0 2 0 0.0000009 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 525 0 0 0 0 0 0 0 0 0 -1 0 -2 4 1 -0.0000003 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 526 0 0 0 0 0 0 0 0 0 -2 -1 0 3 0 -0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 527 0 0 0 0 0 0 0 0 0 0 0 -2 3 0 -0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 528 0 0 0 0 0 0 0 0 0 -2 0 0 3 1 -0.0000005 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 529 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -0.0000013 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 530 0 0 0 0 0 0 0 0 0 -3 0 2 2 0 -0.0000007 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 531 0 0 0 0 0 0 0 0 0 1 1 -2 2 0 0.0000010 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 532 0 0 0 0 0 0 0 0 0 -1 1 0 2 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 533 0 0 0 0 0 0 0 0 0 1 -2 2 -2 1 0.0000010 0.0000000 0.0000013 0.0000006 0.0000000 -0.0000005 534 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0.0000000 0.0000000 0.0000030 0.0000000 0.0000000 0.0000014 535 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0.0000000 0.0000000 -0.0000162 0.0000000 0.0000000 -0.0000138 536 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0.0000000 0.0000000 0.0000075 0.0000000 0.0000000 0.0000000 537 0 0 0 0 0 0 0 0 0 -1 2 0 2 1 -0.0000007 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 538 0 0 0 0 0 0 0 0 0 0 0 2 0 2 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 539 0 0 0 0 0 0 0 0 0 -2 0 2 0 2 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 540 0 0 0 0 0 0 0 0 0 2 0 0 -1 1 0.0000005 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 541 0 0 0 0 0 0 0 0 0 3 0 0 -2 1 0.0000005 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 542 0 0 0 0 0 0 0 0 0 1 0 2 -2 3 -0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 543 0 0 0 0 0 0 0 0 0 1 2 0 0 1 -0.0000003 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 544 0 0 0 0 0 0 0 0 0 2 0 2 -3 2 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 545 0 0 0 0 0 0 0 0 0 -1 1 4 -2 2 -0.0000005 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 546 0 0 0 0 0 0 0 0 0 -2 -2 0 4 0 0.0000006 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 547 0 0 0 0 0 0 0 0 0 0 -3 0 2 0 0.0000009 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 548 0 0 0 0 0 0 0 0 0 0 0 -2 4 0 0.0000005 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 549 0 0 0 0 0 0 0 0 0 -1 -1 0 3 0 -0.0000007 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 550 0 0 0 0 0 0 0 0 0 -2 0 0 4 2 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 551 0 0 0 0 0 0 0 0 0 -1 0 0 3 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 552 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0.0000007 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 553 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 554 0 0 0 0 0 0 0 0 0 -1 0 0 2 0 0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 555 0 0 0 0 0 0 0 0 0 0 -2 2 0 1 -0.0000006 0.0000000 -0.0000003 0.0000003 0.0000000 0.0000001 556 0 0 0 0 0 0 0 0 0 -1 0 1 2 1 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 -0.0000002 557 0 0 0 0 0 0 0 0 0 -1 1 0 3 0 0.0000011 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 558 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 559 0 0 0 0 0 0 0 0 0 0 -1 2 0 0 0.0000011 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 560 0 0 0 0 0 0 0 0 0 -2 1 2 2 1 -0.0000003 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 561 0 0 0 0 0 0 0 0 0 2 -2 2 -2 2 -0.0000001 0.0000000 0.0000003 0.0000003 0.0000000 -0.0000001 562 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 563 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0.0000000 0.0000000 -0.0000013 0.0000000 0.0000000 -0.0000011 564 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0.0000003 0.0000000 0.0000006 0.0000000 0.0000000 0.0000000 565 0 0 0 0 0 0 0 0 0 0 2 0 2 0 -0.0000007 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 566 0 0 0 0 0 0 0 0 0 2 -1 2 -2 1 0.0000005 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 567 0 0 0 0 0 0 0 0 0 0 -1 4 -2 1 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 568 0 0 0 0 0 0 0 0 0 0 0 4 -2 3 0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 569 0 0 0 0 0 0 0 0 0 0 1 4 -2 1 0.0000005 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 570 0 0 0 0 0 0 0 0 0 4 0 2 -4 2 -0.0000007 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000
NUTATION SERIES 95 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 ′′ ′′ ′′ ′′ ′′ ′′ 571 0 0 0 0 0 0 0 0 0 2 2 2 -2 2 0.0000008 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 572 0 0 0 0 0 0 0 0 0 2 0 4 -4 2 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 573 0 0 0 0 0 0 0 0 0 -1 -2 0 4 0 0.0000011 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 574 0 0 0 0 0 0 0 0 0 -1 -3 2 2 2 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 575 0 0 0 0 0 0 0 0 0 -3 0 2 4 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 576 0 0 0 0 0 0 0 0 0 -3 0 2 -2 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 577 0 0 0 0 0 0 0 0 0 -1 -1 0 -2 1 0.0000008 0.0000000 0.0000000 -0.0000004 0.0000000 0.0000000 578 0 0 0 0 0 0 0 0 0 -3 0 0 0 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 579 0 0 0 0 0 0 0 0 0 -3 0 -2 2 0 0.0000011 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 580 0 0 0 0 0 0 0 0 0 0 1 0 -4 1 -0.0000006 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 581 0 0 0 0 0 0 0 0 0 -2 1 0 -2 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 582 0 0 0 0 0 0 0 0 0 -4 0 0 0 1 -0.0000008 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 583 0 0 0 0 0 0 0 0 0 -1 0 0 -4 1 -0.0000007 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 584 0 0 0 0 0 0 0 0 0 -3 0 0 -2 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 585 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 586 0 0 0 0 0 0 0 0 0 -1 1 0 4 1 0.0000006 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 587 0 0 0 0 0 0 0 0 0 1 -2 2 0 1 -0.0000006 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 588 0 0 0 0 0 0 0 0 0 0 1 0 3 0 0.0000006 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 589 0 0 0 0 0 0 0 0 0 -1 0 2 2 3 0.0000006 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 590 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0.0000005 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 591 0 0 0 0 0 0 0 0 0 -2 0 2 2 2 -0.0000005 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 592 0 0 0 0 0 0 0 0 0 -1 1 2 2 0 -0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 593 0 0 0 0 0 0 0 0 0 3 0 0 0 2 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 594 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 595 0 0 0 0 0 0 0 0 0 2 -1 2 -1 2 0.0000006 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 596 0 0 0 0 0 0 0 0 0 0 0 2 0 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 597 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0.0000000 0.0000000 -0.0000026 0.0000000 0.0000000 -0.0000011 598 0 0 0 0 0 0 0 0 0 0 0 3 0 2 0.0000000 0.0000000 -0.0000010 0.0000000 0.0000000 -0.0000005 599 0 0 0 0 0 0 0 0 0 -1 2 2 2 1 0.0000005 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 600 0 0 0 0 0 0 0 0 0 -1 0 4 0 0 -0.0000013 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 601 0 0 0 0 0 0 0 0 0 1 2 2 0 1 0.0000003 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 602 0 0 0 0 0 0 0 0 0 3 1 2 -2 1 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 603 0 0 0 0 0 0 0 0 0 1 1 4 -2 2 0.0000007 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 604 0 0 0 0 0 0 0 0 0 -2 -1 0 6 0 0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 605 0 0 0 0 0 0 0 0 0 0 -2 0 4 0 0.0000005 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 606 0 0 0 0 0 0 0 0 0 -2 0 0 6 1 -0.0000003 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 607 0 0 0 0 0 0 0 0 0 -2 -2 2 4 2 -0.0000006 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 608 0 0 0 0 0 0 0 0 0 0 -3 2 2 2 -0.0000005 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 609 0 0 0 0 0 0 0 0 0 0 0 0 4 2 -0.0000007 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 610 0 0 0 0 0 0 0 0 0 -1 -1 2 3 2 0.0000005 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 611 0 0 0 0 0 0 0 0 0 -2 0 2 4 0 0.0000013 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 612 0 0 0 0 0 0 0 0 0 2 -1 0 2 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 613 0 0 0 0 0 0 0 0 0 1 0 0 3 0 -0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 614 0 0 0 0 0 0 0 0 0 0 1 0 4 1 0.0000005 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 615 0 0 0 0 0 0 0 0 0 0 1 0 4 0 -0.0000011 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 616 0 0 0 0 0 0 0 0 0 1 -1 2 1 2 0.0000005 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 617 0 0 0 0 0 0 0 0 0 0 0 2 2 3 0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 618 0 0 0 0 0 0 0 0 0 1 0 2 2 2 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 619 0 0 0 0 0 0 0 0 0 -1 0 2 2 2 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 620 0 0 0 0 0 0 0 0 0 -2 0 4 2 1 0.0000006 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 621 0 0 0 0 0 0 0 0 0 2 1 0 2 1 0.0000003 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 622 0 0 0 0 0 0 0 0 0 2 1 0 2 0 -0.0000012 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 623 0 0 0 0 0 0 0 0 0 2 -1 2 0 0 0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 624 0 0 0 0 0 0 0 0 0 1 0 2 1 0 -0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 625 0 0 0 0 0 0 0 0 0 0 1 2 2 0 -0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 626 0 0 0 0 0 0 0 0 0 2 0 2 0 3 0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 627 0 0 0 0 0 0 0 0 0 3 0 2 0 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 628 0 0 0 0 0 0 0 0 0 1 0 2 0 2 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 629 0 0 0 0 0 0 0 0 0 1 0 3 0 3 0.0000000 0.0000000 -0.0000005 0.0000000 0.0000000 -0.0000002 630 0 0 0 0 0 0 0 0 0 1 1 2 1 1 -0.0000007 0.0000000 0.0000000 0.0000004 0.0000000 0.0000000 631 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0.0000006 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 632 0 0 0 0 0 0 0 0 0 2 1 2 0 0 -0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 633 0 0 0 0 0 0 0 0 0 2 0 4 -2 1 0.0000005 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 634 0 0 0 0 0 0 0 0 0 4 1 2 -2 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 635 0 0 0 0 0 0 0 0 0 -1 -1 0 6 0 0.0000003 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 636 0 0 0 0 0 0 0 0 0 -3 -1 2 6 2 -0.0000003 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000 637 0 0 0 0 0 0 0 0 0 -1 0 0 6 1 -0.0000005 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 638 0 0 0 0 0 0 0 0 0 -3 0 2 6 1 -0.0000003 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 639 0 0 0 0 0 0 0 0 0 1 -1 0 4 1 -0.0000003 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 640 0 0 0 0 0 0 0 0 0 1 -1 0 4 0 0.0000012 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 641 0 0 0 0 0 0 0 0 0 -2 0 2 5 2 0.0000003 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000 642 0 0 0 0 0 0 0 0 0 1 -2 2 2 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 643 0 0 0 0 0 0 0 0 0 3 -1 0 2 0 0.0000004 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 644 0 0 0 0 0 0 0 0 0 1 -1 2 2 0 0.0000006 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 645 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0.0000005 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 646 0 0 0 0 0 0 0 0 0 -1 1 2 4 1 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 647 0 0 0 0 0 0 0 0 0 0 1 2 3 2 -0.0000006 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 648 0 0 0 0 0 0 0 0 0 -1 0 4 2 1 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 649 0 0 0 0 0 0 0 0 0 2 0 2 1 1 0.0000006 0.0000000 0.0000000 -0.0000003 0.0000000 0.0000000 650 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0.0000006 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 651 0 0 0 0 0 0 0 0 0 2 1 2 1 2 -0.0000006 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 652 0 0 0 0 0 0 0 0 0 1 0 4 0 1 0.0000003 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 653 0 0 0 0 0 0 0 0 0 3 1 2 0 1 0.0000007 0.0000000 0.0000000 -0.0000004 0.0000000 0.0000000 654 0 0 0 0 0 0 0 0 0 3 0 4 -2 2 0.0000004 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000 655 0 0 0 0 0 0 0 0 0 -2 -1 2 6 2 -0.0000005 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 656 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0.0000005 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 657 0 0 0 0 0 0 0 0 0 0 -2 2 4 2 -0.0000006 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 658 0 0 0 0 0 0 0 0 0 -2 0 2 6 1 -0.0000006 0.0000000 0.0000000 0.0000003 0.0000000 0.0000000 659 0 0 0 0 0 0 0 0 0 2 0 0 4 1 -0.0000004 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000 660 0 0 0 0 0 0 0 0 0 2 0 0 4 0 0.0000010 0.0000000 0.0000000 0.0000000 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
show all

USNO Circular 179 - U.S. Naval Observatory

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