EDP Sciences
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Volume 368, Number 3, March IV 2001
Page(s) 1115 - 1122
Section Celestial mechanics and astrometry
DOI http://dx.doi.org/10.1051/0004-6361:20000260

A&A 368, 1115-1122 (2001)
DOI: 10.1051/0004-6361:20000260

On the use of wavelet analysis for the fitting of a dynamical theory to observations

A. Fienga1 and J. M. Delouis2

1  IMCCE, Observatoire de Paris, 77 Av. Denfert-Rochereau, 75014 Paris, France
2  Observatoire de Meudon DASOP-LPSH, 92125 Meudon Cedex, France

(Received 20 December 1999 / Accepted 6 June 2000)

We present methods to fit planetary ephemerides to observational data. More precisely, we will consider an application of wavelet analysis to dynamical residuals of Jupiter. The efficiency of this new technique is assessed by tests with extrapolations using observational samples not used in the fit. The results are very encouraging. Since the work of Gaillot in 1913 (Gaillot 1913), the analytical solutions of the Bureau des longitudes have not been fit to actual observations. The VSOPxx (Bretagnon 1982; Bretagnon & Francou 1988) analytical theories of the motion of the 8 planets of the solar system are presently the modern solutions of the IMC-Bureau des longitudes; however, until this work, VSOPxx were fit only to the JPL numerical integrations, Dexxx (Standish 1995, 1998). This paper deals with some elements of the first adjustment of the modern VSOP analytical theories of motion of the planets to optical and radar observations.

Key words: methods: data analysis -- astrometry -- Ephemerides

Offprint request: A. Fienga, fienga@bdl.fr

© ESO 2001