Improved harmonic development of the Earth tide-generating potentialстатья
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Аннотация:An improved technique is proposed for spectral
analysis of an arbitrary function of the Moon/Sun/planet
coordinates tabulated over a long period of time. Expansion
of the function to Poisson series is made where the
amplitudes and arguments of the series’ terms are highdegree
time polynomials, as opposed to the classical
Fourier analysis where the terms’ amplitudes are constants,
and the arguments are linear functions of time.
This leads to an improvement in accuracy of the spectral
analysis of the functions over long-term intervals. The
technique is applied to produce a harmonic development
of the Earth tide-generating potential (TGP) which was
preliminarily calculated and tabulated over an interval of
2000 years centered at epoch J2000.0. (The latest NASA/
JPL long-term ephemeris DE/LE-406 has been used as the
source of the Moon, Sun and planet coordinates.) The
final development of the TGP, named KSM03, includes
some 27,000 terms of amplitudes down to the level of
$1\times 10^{-8} m^2/s^2$. The respective accuracy in calculation of
gravity tides at a mid-latitude station is 0.025/0.39nGal
(the root-mean-square/maximum error) when compared
with a benchmark gravity tide series numerically computed
with the use of the most accurate ephemeris DE-405
at every hour within the interval 1600–2200 (the complete
period of time covered by the ephemeris). It exceeds the
accuracy of any previously made harmonic development
of the TGP in the time domain by a factor of at least 3.