J/A+A/459/981Precession-nutation procedures (IAU 2006) (Wallace+, 2006)

Precession-nutation procedures consistent with IAU 2006 resolutions. Wallace P.T., Capitaine N. <Astron. Astrophys. 459, 981 (2006)> =2006A&A...459..981WADC_Keywords: Positional data ; Ephemerides ; EarthKeywords: astrometry - reference systems - ephemerides - celestial mechanics - timeAbstract: The 2006 IAU General Assembly has adopted the P03 model of Capitaine et al. (2003A&A...412..567C) recommended by the WG on precession and the ecliptic (Hilton et al., 2006, Celest. Mech. Dyn. Astron. 94, 351) to replace the IAU 2000 model, which comprised the Lieske et al. (1977A&A....58....1L) model with adjusted rates. Practical implementations of this new "IAU 2006" model are therefore required, involving choices of procedures and algorithms. The purpose of this paper is to recommend IAU 2006 based precession-nutation computing procedures, suitable for different classes of application and achieving high standards of consistency.Description: The three tables contain the coefficients of the series developments for generating the coordinates of the celestial intermediate pole and the quantity s+XY/2 (and hence s) for the P03 precession model (Capitaine et al., 2003A&A...412..567C) with the IAU 2000A nutation. Each table contains the coefficients in microarcseconds (uas) of the series developments (i.e. Fourier and Poisson terms) as functions of (terrestrial) time t (expressed in centuries since J2000.0) for the quantities X, Y and s+XY/2, respectively, retaining all terms where the sum of the absolute values of the two amplitude coefficients is at least 0.1uas. The general formula for a quantity V is: V = Sum_i)j=0,5 [(Sj)_i*t^j*sin(ARG) + Cj)_i*cos(ARG)]*t^j] where, for X and Y: ARG = nl*l + nl'*l' + nF*F + nD*D + nOm*Om +nLMe*LMe + nLV*LV + nLE*LE + nLMa*LMa + nLJ*LJ + nLS*LS + nLU*LU + nLN*LN +npa*pa and, for s+XY/2: ARG = nl*l + nl'*l' + nF*F + nD*D + nOm*Om + nLV*LV + nLE*LE +npa*pa l, l', F, D, Om, LMe, LV, LE, LMa, LJ, LS, LU, LN, pa being the fundamental lunisolar and planetary arguments of the nutation theory.File Summary:

FileName Lrecl Records Explanations

ReadMe 80 . This file xp03.dat 76 1606 Terms in the series development for the quantity X, based on the P03 precession (table1 of the paper) yp03.dat 76 1281 Terms in the series development for the quantity Y, based on the P03 precession (table2 of the paper) sxy2p03.dat 55 72 *Terms in the series development for the quantity s+XY/2, based on the P03 precession and IAU 2000A nutation (table3 of the paper)

Note on sxy2p03.dat: This table replaces the s+XY/2 table (file sxy2p03.dat) provided at J/A+A/450/855 before 06-Nov-2006. The two series are identical except that in the new one the constant term is included and unused fundamental-argument coefficients are absent.

See also: J/A+A/355/398 : Celestial Ephemeris Origin definition (Capitaine+, 2000) J/A+A/400/1145 : Celestial Intermediate Pole, Ephemeris Origin (Capitaine 2003) J/A+A/450/855 : Methods for CIP and CIO localisation (Capitaine+, 2006)Byte-by-byte Description of file: xp03.dat yp03.dat

Bytes Format Units Label Explanations

1- 4 I4 --- i Term number i 5- 6 I2 --- j Order of the Poisson term (power of t) 7- 18 F12.2 uas Sji (Sj)_i coefficient, in uas 19- 34 F16.4 uas Cji (Cj)_i coefficient, in uas 35- 37 I3 --- nl Mean anomaly of the Moon coefficient 38- 40 I3 --- nl' Mean anomaly of the Sun coefficient 41- 43 I3 --- nF L - Omega (L: Mean longitude of the Moon) coefficient 44- 46 I3 --- nD Mean elongation from the Moon to the Sun coefficient 47- 49 I3 --- nOm Mean longitude of the ascending node of the Moon (Omega) coefficient 50- 52 I3 --- nLMe Mean longitude of Mercury coefficient 53- 55 I3 --- nLV Mean longitude of Venus coefficient 56- 58 I3 --- nLE Mean longitude of the Earth coefficient 59- 61 I3 --- nLMa Mean longitude of Mars coefficient 62- 64 I3 --- nLJ Mean longitude of Jupiter coefficient 65- 67 I3 --- nLS Mean longitude of Saturn coefficient 68- 70 I3 --- nLU Mean longitude of Uranus coefficient 71- 73 I3 --- nLN Mean longitude of Neptune coefficient 74- 76 I3 --- npa Accumulated general precession in longitude coefficient

Byte-by-byte Description of file: sxy2p03.dat

Bytes Format Units Label Explanations

1- 2 I2 --- i Term number i 3- 4 I2 --- j Order of the Poisson term (power of t) 5- 13 F9.2 uas Sji (Sj)_i coefficient, in uas 14- 23 F10.2 uas Cji (Cj)_i coefficient, in uas 24- 27 I4 --- nl Mean anomaly of the Moon coefficient 28- 31 I4 --- nl' Mean anomaly of the Sun coefficient 32- 35 I4 --- nF L - Omega (L: Mean longitude of the Moon) coefficient 36- 39 I4 --- nD Mean elongation from the Moon to the Sun coefficient 40- 43 I4 --- nOm Mean longitude of the ascending node of the Moon (Omega) coefficient 44- 47 I4 --- nLV Mean longitude of Venus coefficient 48- 51 I4 --- nLE Mean longitude of the Earth coefficient 52- 55 I4 --- npa Accumulated general precession in longitude coefficient

Acknowledgements: Nicole Capitaine, n.capitaine(at)obspm.frReferences: Capitaine et al., 2003A&A...412..567C, Expressions for IAU 2000 precession quantities(End)Patricia Vannier [CDS] 06-Nov-2006

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