Methods for CIP and CIO localisation (Capitaine+, 2006)

Computer Science

Scientific paper

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Positional Data, Ephemerides, Earth

Scientific paper

Various implementations are described, their theoretical bases compared and the relationships between the expressions for the relevant parameters are provided. Semi-analytical and numerical comparisons have been made, based on the P03 precession and the IAU 2000A nutation, with slight modifications to the latter to make it consistent with P03.
Methods based on the recent P03 precession model can be found in Capitaine et al. (2003A&A...412..567C, 2005A&A...432..355C).
Tables 5-11 contain 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 s (Eq. (53)), s+XY/2 (Eq. (58)), s+XY/2+D (Eq. (60)), EO+Dpsi*cos(epsilonA) (where EO is given by Eq. (69)), x{CIO}, y{CIO}, z{CIO} (Eq. (70)), respectively, retaining all terms larger than 0.1 uas.
The general formula is:
S=Sum{on i}[Sum{j=0,5}[(S{j}i)*tj*sin(ARG)+(C{j}i*cos(ARG)]*tj]]
where:
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
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.
(7 data files).

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