THE P03 PRECESSION MODEL: INFORMATION on the TABLES for the X, Y and s+XY/2 series

(Capitaine and Wallace 2006, A&A 450)


    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. 2003) 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 0.1 uas.

 

    The general formula for a quantity V is:

 

    V = Sum_i)j=0,5 [(S{j})_i*t^j*sin(ARG) + C{j})_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:

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 FileName    Lrecl    Records    Explanations

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ReadMe       80          .       This file

X_P03.dat    76       1606       terms in the series development for the

                                 quantity X, based on the P03 precession

Y_P03.dat    76       1281       terms in the series development for the

                                 quantity Y, based on the P03 precession

SXY2_P03.dat 55         72       terms in the series development for the

                                 quantity s +XY/2, based on the P03

                                 precession and IAU 2000A nutation

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Note 1:

    In the following descriptions of the file formats, the column "Format"

    contains the Fortran edit descriptor that can be used when reading the

    number.  Integers are right-justified with leading spaces.  Floating

    point quantities have an explicit plus or minus sign and are decimal-

    point aligned, with the decimal point always present but with

    insignificant trailing zeroes replaced with spaces.

 

Note 2:

    Table 3 replaces the s+XY/2 table provided at:

    http://vizier.u-strasbg.fr/viz-bin/Cat?J/A%2bA/450/855#sRM2.1

    The two series are identical except that in the new one the

    constant term is included and unused fundamental-argument

    coefficients are absent.

 

Byte-by-byte Description of file:  X_P03.dat,Y_P03.dat (Tables 1,2)

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   Bytes Format  Units   Label    Explanations

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   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      (S{j})_i coefficient, in uas

  19- 34  F16.4  uas     Cji      (C{j})_i coefficient, in uas

  35- 37  I5     ---     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

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Byte-by-byte Description of file:  sXY2_P03.dat (Table 3)

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   Bytes Format  Units   Label    Explanations

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   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      (S{j})_i coefficient, in uas

  14- 23  F10.2  uas     Cji      (C{j})_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

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Reference: Capitaine, N., Wallace, P.T., & Chapront J., A&A 412, 567 (2003)

 

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24-OCT-2006